{"id":70,"date":"2023-09-17T05:59:45","date_gmt":"2023-09-17T05:59:45","guid":{"rendered":"https:\/\/mathority.org\/ar\/%d9%85%d8%b5%d9%81%d9%88%d9%81%d8%a9-%d9%85%d8%b9%d9%83%d9%88%d8%b3%d8%a9\/"},"modified":"2023-09-17T05:59:45","modified_gmt":"2023-09-17T05:59:45","slug":"%d9%85%d8%b5%d9%81%d9%88%d9%81%d8%a9-%d9%85%d8%b9%d9%83%d9%88%d8%b3%d8%a9","status":"publish","type":"post","link":"https:\/\/mathority.org\/ar\/%d9%85%d8%b5%d9%81%d9%88%d9%81%d8%a9-%d9%85%d8%b9%d9%83%d9%88%d8%b3%d8%a9\/","title":{"rendered":"\u0643\u064a\u0641\u064a\u0629 \u062d\u0633\u0627\u0628 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u0639\u0643\u0633\u064a\u0629"},"content":{"rendered":"<p style=\";text-align:right;direction:rtl\">\u0641\u064a \u0647\u0630\u0647 \u0627\u0644\u0635\u0641\u062d\u0629 \u0633\u0648\u0641 \u062a\u062a\u0639\u0644\u0645 \u0645\u0627 \u0647\u0648 \u0648\u0643\u064a\u0641\u064a\u0629 \u062d\u0633\u0627\u0628 \u0645\u0639\u0643\u0648\u0633 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u0628\u0637\u0631\u064a\u0642\u0629 \u0627\u0644\u0645\u062d\u062f\u062f\u0627\u062a (\u0623\u0648 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u0645\u062c\u0627\u0648\u0631\u0629) \u0648\u0628\u0648\u0627\u0633\u0637\u0629 \u0637\u0631\u064a\u0642\u0629 \u063a\u0627\u0648\u0633. \u0633\u062a\u0634\u0627\u0647\u062f \u0623\u064a\u0636\u064b\u0627 \u062c\u0645\u064a\u0639 \u062e\u0635\u0627\u0626\u0635 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u0639\u0643\u0633\u064a\u0629\u060c \u0648\u0633\u062a\u062c\u062f \u0623\u064a\u0636\u064b\u0627 \u0623\u0645\u062b\u0644\u0629 \u0648\u062a\u0645\u0627\u0631\u064a\u0646 \u0645\u062d\u0644\u0648\u0644\u0629 \u062e\u0637\u0648\u0629 \u0628\u062e\u0637\u0648\u0629 \u0644\u0643\u0644 \u0637\u0631\u064a\u0642\u0629 \u062d\u062a\u0649 \u062a\u0641\u0647\u0645\u0647\u0627 \u062a\u0645\u0627\u0645\u064b\u0627. \u0623\u062e\u064a\u0631\u064b\u0627\u060c \u0646\u0634\u0631\u062d \u0635\u064a\u063a\u0629 \u0644\u0639\u0643\u0633 \u0645\u0635\u0641\u0648\u0641\u0629 2&#215;2 \u0628\u0633\u0631\u0639\u0629 \u0648\u062d\u062a\u0649 \u0623\u0639\u0638\u0645 \u0641\u0627\u0626\u062f\u0629 \u0644\u0639\u0645\u0644\u064a\u0629 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u0647\u0630\u0647: \u062d\u0644 \u0646\u0638\u0627\u0645 \u0645\u0646 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0627\u0644\u062e\u0637\u064a\u0629.<\/p>\n<h2 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"> \u0645\u0627 \u0647\u0648 \u0645\u0639\u0643\u0648\u0633 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629\u061f <\/h2>\n<div style=\"background-color:#dff6ff;padding-top: 20px; padding-bottom: 0.5px; padding-right: 40px; padding-left: 30px;text-align:right;direction:rtl\" class=\"has-background\">\n<p align=\"LEFT\" style=\";text-align:right;direction:rtl\"> \u064a\u0643\u0648\u0646<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-25b206f25506e6d6f46be832f7119ffa_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"A\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"13\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0645\u0635\u0641\u0648\u0641\u0629 \u0645\u0631\u0628\u0639\u0629. <strong>\u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u0639\u0643\u0633\u064a\u0629<\/strong> \u0644<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-25b206f25506e6d6f46be832f7119ffa_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"A\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"13\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0627\u0646\u0647 \u0645\u0643\u062a\u0648\u0628<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-e2b32875906f7ed9c10ffd1b09a6ed5e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"A^{-1}\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"30\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u060c \u0648\u0647\u0630\u0647 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u0647\u064a \u0627\u0644\u062a\u064a \u062a\u0631\u0636\u064a:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-fd42c364eee57f5eada44b8ef06f254a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"A \\cdot A^{-1} = I\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"90\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a003e1fd3042f8cd7ec7d3fe7f286f5b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"A^{-1}\\cdot A  = I\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"90\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p align=\"LEFT\" style=\";text-align:right;direction:rtl\"> \u0630\u0647\u0628<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-18b5e45cb4a1ee02e81b9a980f828db8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"I\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"9\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0647\u064a \u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u0647\u0648\u064a\u0629.<\/p>\n<\/div>\n<h2 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"> \u0645\u062a\u0649 \u064a\u0645\u0643\u0646\u0643 \u0639\u0643\u0633 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u0648\u0645\u062a\u0649 \u0644\u0627 \u064a\u0645\u0643\u0646\u0643 \u0630\u0644\u0643\u061f<\/h2>\n<p style=\";text-align:right;direction:rtl\"> \u0625\u0646 \u0623\u0628\u0633\u0637 \u0637\u0631\u064a\u0642\u0629 \u0644\u062a\u062d\u062f\u064a\u062f \u0642\u0627\u0628\u0644\u064a\u0629 \u0639\u0643\u0633 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u0647\u064a \u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0645\u062d\u062f\u062f\u0647\u0627:<\/p>\n<ul style=\";text-align:right;direction:rtl\">\n<li style=\";text-align:right;direction:rtl\"> \u0625\u0630\u0627 \u0643\u0627\u0646 \u0645\u062d\u062f\u062f \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u0645\u0639\u0646\u064a\u0629 \u064a\u062e\u062a\u0644\u0641 \u0639\u0646 0\u060c \u0641\u0647\u0630\u0627 \u064a\u0639\u0646\u064a \u0623\u0646 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u0642\u0627\u0628\u0644\u0629 \u0644\u0644\u0639\u0643\u0633. \u0648\u0641\u064a \u0647\u0630\u0647 \u0627\u0644\u062d\u0627\u0644\u0629 \u0646\u0642\u0648\u0644 \u0625\u0646\u0647\u0627 \u0645\u0635\u0641\u0648\u0641\u0629 \u0639\u0627\u062f\u064a\u0629. \u0639\u0644\u0627\u0648\u0629 \u0639\u0644\u0649 \u0630\u0644\u0643\u060c \u0641\u0647\u0630\u0627 \u064a\u0639\u0646\u064a \u0623\u0646 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u0630\u0627\u062a \u0631\u062a\u0628\u0629 \u0642\u0635\u0648\u0649.<\/li>\n<\/ul>\n<ul style=\";text-align:right;direction:rtl\">\n<li style=\";text-align:right;direction:rtl\"> \u0648\u0645\u0646 \u0646\u0627\u062d\u064a\u0629 \u0623\u062e\u0631\u0649\u060c \u0625\u0630\u0627 \u0643\u0627\u0646 \u0645\u062d\u062f\u062f \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u064a\u0633\u0627\u0648\u064a 0\u060c \u0641\u0644\u0627 \u064a\u0645\u0643\u0646 \u0639\u0643\u0633 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629. \u0648\u0641\u064a \u0647\u0630\u0647 \u0627\u0644\u062d\u0627\u0644\u0629\u060c \u0646\u0642\u0648\u0644 \u0625\u0646\u0647\u0627 \u0645\u0635\u0641\u0648\u0641\u0629 \u0641\u0631\u062f\u064a\u0629 \u0623\u0648 \u0645\u0646\u062d\u0644\u0629.<\/li>\n<\/ul>\n<p style=\";text-align:right;direction:rtl\"> \u0628\u0634\u0643\u0644 \u0623\u0633\u0627\u0633\u064a\u060c \u0647\u0646\u0627\u0643 \u0637\u0631\u064a\u0642\u062a\u0627\u0646 \u0644\u0639\u0643\u0633 \u0623\u064a \u0645\u0635\u0641\u0648\u0641\u0629: \u0637\u0631\u064a\u0642\u0629 \u0627\u0644\u0645\u062d\u062f\u062f\u0627\u062a \u0623\u0648 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u0645\u062c\u0627\u0648\u0631\u0629 \u0648\u0637\u0631\u064a\u0642\u0629 \u063a\u0627\u0648\u0633. \u0633\u062a\u062c\u062f \u0623\u062f\u0646\u0627\u0647 \u0634\u0631\u062d\u064b\u0627 \u0644\u0644\u0623\u0648\u0644\u060c \u0648\u0644\u0643\u0646 \u064a\u0645\u0643\u0646\u0643 \u0623\u064a\u0636\u064b\u0627 \u0627\u0644\u0631\u062c\u0648\u0639 \u0623\u062f\u0646\u0627\u0647 \u0625\u0644\u0649 \u0643\u064a\u0641\u064a\u0629 \u0642\u0644\u0628 \u0645\u0635\u0641\u0648\u0641\u0629 \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0637\u0631\u064a\u0642\u0629 \u063a\u0627\u0648\u0633.<\/p>\n<h2 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"> \u0642\u0644\u0628 \u0645\u0635\u0641\u0648\u0641\u0629 \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0627\u0644\u0637\u0631\u064a\u0642\u0629 \u0627\u0644\u0645\u062d\u062f\u062f\u0629 (\u0623\u0648 \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u0645\u062c\u0627\u0648\u0631\u0629) <\/h2>\n<div style=\"background-color:#dff6ff;padding-top: 20px; padding-bottom: 0.5px; padding-right: 40px; padding-left: 30px;text-align:right;direction:rtl\" class=\"has-background\">\n<p align=\"LEFT\" style=\";text-align:right;direction:rtl\"> \u0644\u062d\u0633\u0627\u0628 <strong>\u0645\u0639\u0643\u0648\u0633 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629<\/strong><\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-3017946e4911f6188e04dfdca6f050ba_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^{-1}\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"30\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u060c \u064a\u062c\u0628 \u062a\u0637\u0628\u064a\u0642 \u0627\u0644\u0635\u064a\u063a\u0629 \u0627\u0644\u062a\u0627\u0644\u064a\u0629:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-1fe85ec6c4385daba7d2488b0d60ee2d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^{-1} = \\cfrac{1}{\\vert A \\vert } \\cdot \\Bigl( \\text{Adj}(A)\\Bigr)^{\\bm{t}}\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"175\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p align=\"LEFT\" style=\"margin-bottom:8px;text-align:right;direction:rtl\"> \u0630\u0647\u0628:<\/p>\n<ul style=\";text-align:right;direction:rtl\">\n<li style=\"margin-bottom:12px;text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a80d0312d139244060532c8c78fe6140_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\begin{vmatrix} A \\end{vmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"23\" width=\"21\" style=\"vertical-align: -7px;\"><\/p>\n<p> \u0647\u0648 \u0645\u062d\u062f\u062f \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-25b206f25506e6d6f46be832f7119ffa_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"A\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"13\" style=\"vertical-align: 0px;\"><\/p>\n<\/li>\n<li style=\"margin-bottom:12px;text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-e87ef954487ce9371eac7dc25f234613_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{Adj}(A)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"55\" style=\"vertical-align: -5px;\"><\/p>\n<p> \u0647\u064a \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u0645\u062c\u0627\u0648\u0631\u0629 \u0644<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-25b206f25506e6d6f46be832f7119ffa_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"A\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"13\" style=\"vertical-align: 0px;\"><\/p>\n<\/li>\n<li style=\";text-align:right;direction:rtl\"> \u0627\u0644\u0639\u0627\u0631\u0636\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-50d6971192a73f12b183dbddd7c75197_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{t}\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"6\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u064a\u0634\u064a\u0631 \u0625\u0644\u0649 \u062a\u0628\u062f\u064a\u0644 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629\u060c \u0623\u064a \u0623\u0646\u0647 \u064a\u0646\u0628\u063a\u064a \u0646\u0642\u0644 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u0645\u0631\u0641\u0642\u0629.<\/li>\n<\/ul>\n<\/div>\n<p style=\";text-align:right;direction:rtl\"> <strong>\u062a\u0639\u0644\u064a\u0642:<\/strong> \u062a\u0633\u062a\u062e\u062f\u0645 \u0628\u0639\u0636 \u0627\u0644\u0643\u062a\u0628 \u0635\u064a\u063a\u0629 \u0645\u0635\u0641\u0648\u0641\u0629 \u0639\u0643\u0633\u064a\u0629 \u0645\u062e\u062a\u0644\u0641\u0629 \u0642\u0644\u064a\u0644\u0627\u064b: \u0641\u0647\u064a \u062a\u0642\u0648\u0645 \u0623\u0648\u0644\u0627\u064b \u0628\u062a\u0628\u062f\u064a\u0644 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 A \u062b\u0645 \u062d\u0633\u0627\u0628 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u0645\u062c\u0627\u0648\u0631\u0629 \u0644\u0647\u0627\u060c \u0628\u062f\u0644\u0627\u064b \u0645\u0646 \u062d\u0633\u0627\u0628 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u0645\u062c\u0627\u0648\u0631\u0629 \u0623\u0648\u0644\u0627\u064b \u062b\u0645 \u062a\u0628\u062f\u064a\u0644\u0647\u0627. \u0641\u064a \u0627\u0644\u0648\u0627\u0642\u0639\u060c \u0627\u0644\u062a\u0631\u062a\u064a\u0628 \u0644\u0627 \u064a\u0647\u0645 \u0644\u0623\u0646 \u0627\u0644\u0646\u062a\u064a\u062c\u0629 \u0647\u064a \u0646\u0641\u0633\u0647\u0627 \u062a\u0645\u0627\u0645\u064b\u0627. \u0646\u062a\u0631\u0643 \u0644\u0643 \u0647\u0646\u0627 \u0627\u0644\u0635\u064a\u063a\u0629 \u0644\u0639\u0643\u0633 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u0645\u0639\u062f\u0644\u0629 \u0641\u064a \u062d\u0627\u0644 \u0643\u0646\u062a \u062a\u0641\u0636\u0644 \u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0647\u0630\u0647: <\/p>\n<div class=\"wp-block-image\" style=\";text-align:right;direction:rtl\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/formule-de-la-matrice-inverse-adjointe-de-transposee-3.webp\" alt=\"\u0635\u064a\u063a\u0629 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u0639\u0643\u0633\u064a\u0629 \u0645\u0639 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u0645\u062c\u0627\u0648\u0631\u0629 \u0644\u0644\u062a\u062d\u0648\u064a\u0644\" class=\"wp-image-4372\" width=\"238\" height=\"239\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p style=\";text-align:right;direction:rtl\"> \u0633\u0646\u0631\u0649 \u0628\u0639\u062f \u0630\u0644\u0643 <strong>\u0643\u064a\u0641\u064a\u0629 \u0625\u064a\u062c\u0627\u062f \u0645\u0639\u0643\u0648\u0633 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629<\/strong> \u0639\u0646 \u0637\u0631\u064a\u0642 \u062d\u0644 \u062a\u0645\u0631\u064a\u0646 \u0643\u0645\u062b\u0627\u0644:<\/p>\n<h3 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"> \u0645\u062b\u0627\u0644 \u0644\u062d\u0633\u0627\u0628 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u0639\u0643\u0633\u064a\u0629 \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0637\u0631\u064a\u0642\u0629 \u0627\u0644\u0645\u062d\u062f\u062f (\u0623\u0648 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u0645\u062c\u0627\u0648\u0631\u0629):<\/h3>\n<ul style=\";text-align:right;direction:rtl\">\n<li style=\";text-align:right;direction:rtl\"> \u0627\u062d\u0633\u0628 \u0645\u0639\u0643\u0648\u0633 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u062a\u0627\u0644\u064a\u0629:<\/li>\n<\/ul>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-c37ec4a7afd5b313bcf3c50d6ce26c6d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  A = \\begin{pmatrix} 4 &amp; -2  \\\\[1.1ex] 3 &amp; -1  \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"109\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0644\u062a\u062d\u062f\u064a\u062f \u0645\u0639\u0643\u0648\u0633 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629\u060c \u064a\u062c\u0628 \u0639\u0644\u064a\u0646\u0627 \u062a\u0637\u0628\u064a\u0642 \u0627\u0644\u0635\u064a\u063a\u0629 \u0627\u0644\u062a\u0627\u0644\u064a\u0629: <\/p>\n<div class=\"wp-block-image\" style=\";text-align:right;direction:rtl\">\n<figure class=\"aligncenter is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/formule-de-la-matrice-inverse-avec-la-methode-par-determinants-ou-par-la-matrice-adjointe.webp\" alt=\"\u0635\u064a\u063a\u0629 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u0639\u0643\u0633\u064a\u0629 \u0628\u0627\u0644\u0637\u0631\u064a\u0642\u0629 \u0628\u0627\u0644\u0645\u062d\u062f\u062f\u0627\u062a \u0623\u0648 \u0628\u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u0645\u062c\u0627\u0648\u0631\u0629\" width=\"218\" height=\"59\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p style=\";text-align:right;direction:rtl\"> \u0644\u0643\u0646 \u0625\u0630\u0627 \u0643\u0627\u0646 \u0645\u062d\u062f\u062f \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u0635\u0641\u0631\u0627\u064b \u0641\u0647\u0630\u0627 \u064a\u0639\u0646\u064a \u0623\u0646 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u063a\u064a\u0631 \u0642\u0627\u0628\u0644\u0629 \u0644\u0644\u0639\u0643\u0633. \u0644\u0630\u0644\u0643\u060c \u0623\u0648\u0644 \u0634\u064a\u0621 \u064a\u062c\u0628 \u0641\u0639\u0644\u0647 \u0647\u0648 \u062d\u0633\u0627\u0628 \u0645\u062d\u062f\u062f \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u0648\u0627\u0644\u062a\u062d\u0642\u0642 \u0645\u0646 \u0623\u0646\u0647\u0627 \u0645\u062e\u062a\u0644\u0641\u0629 \u0639\u0646 0:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-710ccd4e4912dd492b496a742eaf7f56_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\lvert A \\rvert  = \\begin{vmatrix}  4 &amp; -2  \\\\[1.1ex] 3 &amp; -1 \\end{vmatrix} = -4- (-6) = 2\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"240\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> <strong>\u0627\u0644\u0645\u062d\u062f\u062f \u0644\u064a\u0633 0<\/strong> \u060c \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a \u0641\u0625\u0646 <strong>\u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u0642\u0627\u0628\u0644\u0629 \u0644\u0644\u0639\u0643\u0633<\/strong> .<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0644\u0630\u0644\u0643\u060c \u0628\u0627\u0644\u062a\u0639\u0648\u064a\u0636 \u0639\u0646 \u0642\u064a\u0645\u0629 \u0627\u0644\u0645\u062d\u062f\u062f \u0641\u064a \u0627\u0644\u0635\u064a\u063a\u0629\u060c \u0633\u064a\u0643\u0648\u0646 \u0645\u0639\u0643\u0648\u0633 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-1fe85ec6c4385daba7d2488b0d60ee2d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^{-1} = \\cfrac{1}{\\vert A \\vert } \\cdot \\Bigl( \\text{Adj}(A)\\Bigr)^{\\bm{t}}\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"175\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-9be7ff27e83825750fc7b378f743412f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^{-1} = \\cfrac{1}{2} \\cdot \\Bigl( \\text{Adj}(A)\\Bigr)^{\\bm{t}}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"161\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u064a\u062c\u0628 \u0639\u0644\u064a\u0646\u0627 \u0627\u0644\u0622\u0646 \u062d\u0633\u0627\u0628 \u0646\u0627\u0626\u0628 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 A. \u0648\u0644\u0644\u0642\u064a\u0627\u0645 \u0628\u0630\u0644\u0643\u060c \u064a\u062c\u0628 \u0639\u0644\u064a\u0646\u0627 \u0627\u0633\u062a\u0628\u062f\u0627\u0644 \u0643\u0644 \u0639\u0646\u0635\u0631 \u0645\u0646 \u0639\u0646\u0627\u0635\u0631 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 A \u0628\u0646\u0627\u0626\u0628\u0647. <\/p>\n<div style=\"background-color:#fffde7;padding-top: 20px; padding-bottom: 0.5px; padding-right: 40px; padding-left: 30px;text-align:right;direction:rtl\" class=\"has-background\">\n<p align=\"LEFT\" style=\";text-align:right;direction:rtl\"> \u062a\u0630\u0643\u0631 \u0623\u0646 \u0644\u062d\u0633\u0627\u0628 <strong>\u0645\u0631\u0641\u0642<\/strong><\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-41d4a89db3722950dc94351832a1bcd9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"a_{ij}\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"20\" style=\"vertical-align: -6px;\"><\/p>\n<p> \u060c \u0648\u0647\u0630\u0627 \u064a\u0639\u0646\u064a \u0639\u0646\u0635\u0631 \u0627\u0644\u0635\u0641<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-695d9d59bd04859c6c99e7feb11daab6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"i\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"6\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0648\u0627\u0644\u0639\u0645\u0648\u062f<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-43c82d5bb00a7568d935a12e3bd969dd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"j\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"9\" style=\"vertical-align: -4px;\"><\/p>\n<p> \u060c \u064a\u062c\u0628 \u062a\u0637\u0628\u064a\u0642 \u0627\u0644\u0635\u064a\u063a\u0629 \u0627\u0644\u062a\u0627\u0644\u064a\u0629:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-dcce4b79a3549da03df7c78b678add31_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{Adjunto de } a_{ij} = (-1)^{i+j} \\bm{\\cdot} \\text{Menor complementario de } a_{ij}\" title=\"Rendered by QuickLaTeX.com\" height=\"21\" width=\"430\" style=\"vertical-align: -6px;\"><\/p>\n<\/p>\n<p align=\"LEFT\" style=\";text-align:right;direction:rtl\"> \u062d\u064a\u062b \u0627\u0644\u0642\u0627\u0635\u0631 \u0627\u0644\u0645\u0643\u0645\u0644 \u0644<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-41d4a89db3722950dc94351832a1bcd9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"a_{ij}\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"20\" style=\"vertical-align: -6px;\"><\/p>\n<p> \u0647\u0648 \u0645\u062d\u062f\u062f \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u062a\u064a \u062a\u0642\u0636\u064a \u0639\u0644\u0649 \u0627\u0644\u0635\u0641<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-695d9d59bd04859c6c99e7feb11daab6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"i\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"6\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0648\u0627\u0644\u0639\u0645\u0648\u062f<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-43c82d5bb00a7568d935a12e3bd969dd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"j\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"9\" style=\"vertical-align: -4px;\"><\/p>\n<p> .<\/p>\n<\/div>\n<p style=\";text-align:right;direction:rtl\"> \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a \u0641\u0625\u0646 \u0646\u0648\u0627\u0628 \u0639\u0646\u0627\u0635\u0631 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 A \u0647\u0645: <\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-c37ec4a7afd5b313bcf3c50d6ce26c6d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  A = \\begin{pmatrix} 4 &amp; -2  \\\\[1.1ex] 3 &amp; -1  \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"109\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-981d47faf70cc1377c1abb515419a881_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{Adjunto de 4} =\\displaystyle (-1)^{1+1} \\bm{\\cdot} \\begin{vmatrix} -1 \\end{vmatrix} = 1 \\cdot (-1) = \\bm{-1}\" title=\"Rendered by QuickLaTeX.com\" height=\"23\" width=\"357\" style=\"vertical-align: -7px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-0f1e6a5a5c504b3b6d06e5d3d8e0862e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{Adjunto de -2} =\\displaystyle (-1)^{1+2} \\bm{\\cdot} \\begin{vmatrix} 3 \\end{vmatrix} = -1 \\cdot 3 = \\bm{-3}\" title=\"Rendered by QuickLaTeX.com\" height=\"23\" width=\"336\" style=\"vertical-align: -7px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-02a2bf190ba8788264d0326f38cb0a21_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{Adjunto de 3}  =\\displaystyle (-1)^{2+1} \\bm{\\cdot} \\begin{vmatrix} -2 \\end{vmatrix} = -1 \\cdot (-2) = \\bm{2}\" title=\"Rendered by QuickLaTeX.com\" height=\"23\" width=\"357\" style=\"vertical-align: -7px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f01b7eb06a25b50bf15fbfd08e68cd13_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{Adjunto de -1} =\\displaystyle (-1)^{2+2} \\bm{\\cdot} \\begin{vmatrix} 4 \\end{vmatrix} = 1 \\cdot 4 = \\bm{4}\" title=\"Rendered by QuickLaTeX.com\" height=\"23\" width=\"309\" style=\"vertical-align: -7px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> <strong>\u062a\u0639\u0644\u064a\u0642:<\/strong> \u0644\u0627 \u062a\u062e\u0644\u0637 \u0628\u064a\u0646 \u0627\u0644\u0645\u062d\u062f\u062f 1\u00d71 \u0648\u0627\u0644\u0642\u064a\u0645\u0629 \u0627\u0644\u0645\u0637\u0644\u0642\u0629\u060c \u0644\u0623\u0646\u0647 \u0641\u064a \u0627\u0644\u0645\u062d\u062f\u062f 1\u00d71 \u0644\u0627 \u064a\u062a\u0645 \u062a\u062d\u0648\u064a\u0644 \u0627\u0644\u0631\u0642\u0645 \u0625\u0644\u0649 \u0645\u0648\u062c\u0628.<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0628\u0645\u062c\u0631\u062f \u062d\u0633\u0627\u0628 \u0627\u0644\u0646\u0648\u0627\u0628\u060c \u0645\u0627 \u0639\u0644\u064a\u0643 \u0633\u0648\u0649 \u0627\u0633\u062a\u0628\u062f\u0627\u0644 \u0639\u0646\u0627\u0635\u0631 A \u0628\u0646\u0648\u0627\u0628\u0647\u0645 \u0644\u0644\u0639\u062b\u0648\u0631 \u0639\u0644\u0649 <strong>\u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u0646\u0627\u0626\u0628\u0629 \u0644\u0640 A<\/strong> :<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-08fb7666b4518399c2a469ba445762be_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\displaystyle \\text{Adj}(A) = \\begin{pmatrix} -1 &amp; -3  \\\\[1.1ex] 2 &amp; 4  \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"165\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> <strong>\u062a\u0639\u0644\u064a\u0642:<\/strong> \u0641\u064a \u0623\u0645\u0627\u0643\u0646 \u0645\u0639\u064a\u0646\u0629 \u062a\u0643\u0648\u0646 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u0645\u062c\u0627\u0648\u0631\u0629 \u0647\u064a \u062a\u0628\u062f\u064a\u0644 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u0645\u062c\u0627\u0648\u0631\u0629 \u0627\u0644\u062a\u064a \u0646\u062d\u062f\u062f\u0647\u0627 \u0647\u0646\u0627.<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0644\u0630\u0644\u0643 \u0646\u0639\u0648\u0636 \u0628\u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u0645\u0631\u0641\u0642\u0629 \u0641\u064a \u0635\u064a\u063a\u0629 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u0639\u0643\u0633\u064a\u0629 \u0648\u062a\u0635\u0628\u062d:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-9be7ff27e83825750fc7b378f743412f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^{-1} = \\cfrac{1}{2} \\cdot \\Bigl( \\text{Adj}(A)\\Bigr)^{\\bm{t}}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"161\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-0abb4127db9c3c1d0a7b669fbc782605_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^{-1} = \\cfrac{1}{2} \\cdot \\begin{pmatrix} -1 &amp; -3  \\\\[1.1ex] 2 &amp; 4  \\end{pmatrix} ^{\\bm{t}}\" title=\"Rendered by QuickLaTeX.com\" height=\"57\" width=\"173\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0627\u0644\u0639\u0627\u0631\u0636<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-50d6971192a73f12b183dbddd7c75197_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{t}\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"6\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u064a\u062e\u0628\u0631\u0646\u0627 \u0647\u0630\u0627 \u0623\u0646\u0646\u0627 \u0628\u062d\u0627\u062c\u0629 <strong>\u0625\u0644\u0649 \u062a\u0628\u062f\u064a\u0644 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629<\/strong> . \u0648\u0644\u062a\u062d\u0648\u064a\u0644 \u0645\u0635\u0641\u0648\u0641\u0629 \u0639\u0644\u064a\u0643 <strong>\u062a\u063a\u064a\u064a\u0631 \u0635\u0641\u0648\u0641\u0647\u0627 \u0625\u0644\u0649 \u0623\u0639\u0645\u062f\u0629<\/strong> \u060c \u0623\u064a \u0623\u0646 \u0627\u0644\u0635\u0641 \u0627\u0644\u0623\u0648\u0644 \u0645\u0646 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u064a\u0635\u0628\u062d \u0627\u0644\u0639\u0645\u0648\u062f \u0627\u0644\u0623\u0648\u0644 \u0644\u0644\u0645\u0635\u0641\u0648\u0641\u0629\u060c \u0648\u0627\u0644\u0635\u0641 \u0627\u0644\u062b\u0627\u0646\u064a \u064a\u0635\u0628\u062d \u0627\u0644\u0639\u0645\u0648\u062f \u0627\u0644\u062b\u0627\u0646\u064a:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-22965912cf8aee99610c81cf575c0ecd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^{-1} = \\cfrac{1}{2} \\cdot \\begin{pmatrix} -1 &amp; 2  \\\\[1.1ex] -3 &amp; 4  \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"151\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0648\u0623\u062e\u064a\u0631\u064b\u0627\u060c \u0646\u0636\u0631\u0628 \u0643\u0644 \u062d\u062f \u0645\u0646 \u062d\u062f\u0648\u062f \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u0641\u064a<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-3a7c03ba828b3d8aef58199ac2c95a47_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{1}{2} :\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"18\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-220748840151b429919c7ce6587b1bc0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^{-1} = \\begin{pmatrix} \\sfrac{-1}{2} &amp; \\sfrac{2}{2}  \\\\[1.1ex] \\sfrac{-3}{2} &amp; \\sfrac{4}{2}  \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"145\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<div class=\"wp-block-image\" style=\";text-align:right;direction:rtl\">\n<figure class=\"aligncenter is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/matrice-inverse-de-lexercice-resolu-par-les-determinants-22152.webp\" alt=\"\u062a\u0645\u0631\u064a\u0646 \u062d\u0644 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u0639\u0643\u0633\u064a\u0629 \u0628\u0645\u062d\u062f\u062f\u0627\u062a 2x2\" width=\"188\" height=\"69\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<h3 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"> \u062a\u0645\u0627\u0631\u064a\u0646 \u0645\u062d\u0644\u0648\u0644\u0629 \u0639\u0644\u0649 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0627\u062a \u0627\u0644\u0639\u0643\u0633\u064a\u0629 \u0628\u0637\u0631\u064a\u0642\u0629 \u0627\u0644\u0645\u062d\u062f\u062f\u0627\u062a (\u0623\u0648 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u0645\u062c\u0627\u0648\u0631\u0629)<\/h3>\n<h4 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"> \u0627\u0644\u062a\u0645\u0631\u064a\u0646 1<\/h4>\n<p style=\";text-align:right;direction:rtl\"> \u0627\u0642\u0644\u0628 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u062a\u0627\u0644\u064a\u0629 \u0630\u0627\u062a \u0627\u0644\u0628\u0639\u062f 2\u00d72 \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0637\u0631\u064a\u0642\u0629 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u0645\u062c\u0627\u0648\u0631\u0629: <\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-bfb0807249e78845b375a402eb23a32b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A=\\begin{pmatrix} 1 &amp; 3 \\\\[1.1ex] 2 &amp; 7  \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"95\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E3F2FD boto_ver_solucion\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E3F2FD\" style=\"text-align:center;text-align:right;direction:rtl\">\n<div class=\"otfm-sp__title\" style=\";text-align:right;direction:rtl\"> <strong>\u0627\u0646\u0638\u0631 \u0627\u0644\u062d\u0644<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0635\u064a\u063a\u0629 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u0639\u0643\u0633\u064a\u0629 \u0647\u064a:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-1fe85ec6c4385daba7d2488b0d60ee2d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^{-1} = \\cfrac{1}{\\vert A \\vert } \\cdot \\Bigl( \\text{Adj}(A)\\Bigr)^{\\bm{t}}\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"175\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0646\u062d\u0633\u0628 \u0623\u0648\u0644\u0627\u064b \u0645\u062d\u062f\u062f \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-1c4e3bac90eb0da0361b4be1a2225146_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\begin{vmatrix}A\\end{vmatrix}=\\begin{vmatrix} 1 &amp; 3 \\\\[1.1ex] 2 &amp; 7 \\end{vmatrix} = 7-6 = 1\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"187\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0627\u0644\u0645\u062d\u062f\u062f \u064a\u062e\u062a\u0644\u0641 \u0639\u0646 0\u060c \u0644\u0630\u0644\u0643 \u064a\u0645\u0643\u0646 \u0639\u0643\u0633 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629.<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u062f\u0639\u0648\u0646\u0627 \u0627\u0644\u0622\u0646 \u0646\u062d\u0633\u0628 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u0645\u062c\u0627\u0648\u0631\u0629 \u0644\u0640 A: <\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-34ac8739bfee66d594eee01b7a2b9205_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{Adjunto de 1} =\\displaystyle (-1)^{1+1} \\bm{\\cdot} \\begin{vmatrix} 7 \\end{vmatrix} = 1 \\cdot 7 = \\bm{7}\" title=\"Rendered by QuickLaTeX.com\" height=\"23\" width=\"303\" style=\"vertical-align: -7px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-4021288fe5f1db07d81dbb43ce15e82a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{Adjunto de 3} =\\displaystyle (-1)^{1+2} \\bm{\\cdot} \\begin{vmatrix} 2\\end{vmatrix} = -1 \\cdot 2 = \\bm{-2}\" title=\"Rendered by QuickLaTeX.com\" height=\"23\" width=\"329\" style=\"vertical-align: -7px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-12783f7673a347fc5e0df04917332fa0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{Adjunto de 2}  =\\displaystyle (-1)^{2+1} \\bm{\\cdot} \\begin{vmatrix} 3 \\end{vmatrix} = -1 \\cdot 3 = \\bm{-3}\" title=\"Rendered by QuickLaTeX.com\" height=\"23\" width=\"330\" style=\"vertical-align: -7px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-8d48d00b2e8df51348f8f41c96b9197b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{Adjunto de 7} =\\displaystyle (-1)^{2+2} \\bm{\\cdot} \\begin{vmatrix} 1 \\end{vmatrix} = 1 \\cdot 1 = \\bm{1}\" title=\"Rendered by QuickLaTeX.com\" height=\"23\" width=\"302\" style=\"vertical-align: -7px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-3dea8fca2c025ff9b7d7673904344996_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\displaystyle \\text{Adj}(A) = \\begin{pmatrix} 7 &amp; -2  \\\\[1.1ex] -3 &amp; 1 \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"165\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0628\u0645\u062c\u0631\u062f \u062d\u0633\u0627\u0628 \u0645\u062d\u062f\u062f \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u0648\u0627\u0644\u0645\u062c\u0627\u0648\u0631 \u0644\u0647\u0627\u060c \u0646\u0639\u0648\u0636 \u0628\u0642\u064a\u0645\u062a\u0647\u0645\u0627 \u0641\u064a \u0627\u0644\u0635\u064a\u063a\u0629: <\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-1fe85ec6c4385daba7d2488b0d60ee2d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^{-1} = \\cfrac{1}{\\vert A \\vert } \\cdot \\Bigl( \\text{Adj}(A)\\Bigr)^{\\bm{t}}\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"175\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-9475e4162eff7e1ed9c08f363a8279ec_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^{-1} = \\cfrac{1}{1} \\cdot \\begin{pmatrix} 7 &amp; -2 \\\\[1.1ex] -3 &amp; 1 \\end{pmatrix}^{\\bm{t}}\" title=\"Rendered by QuickLaTeX.com\" height=\"57\" width=\"173\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0646\u0642\u0648\u0645 \u0628\u062a\u063a\u064a\u064a\u0631 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u0645\u0631\u0641\u0642\u0629:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a5a6aaa8168e55c6eab1e3be1229a3da_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^{-1} = 1 \\cdot \\begin{pmatrix} 7 &amp; -3 \\\\[1.1ex] -2 &amp; 1 \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"162\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a \u0641\u0625\u0646 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u0639\u0643\u0633\u064a\u0629 \u0644\u0640 A \u0647\u064a: <\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-1236ad7262705dbbd9b0a094084ceac5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\bm{A^{-1} =} \\begin{pmatrix} \\bm{7} &amp; \\bm{-3} \\\\[1.1ex] \\bm{-2} &amp; \\bm{1} \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"139\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\" style=\";text-align:right;direction:rtl\"><\/div>\n<h4 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\">\u062a\u0645\u0631\u064a\u0646 2<\/h4>\n<p style=\";text-align:right;direction:rtl\"> \u0627\u0642\u0644\u0628 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u0645\u0631\u0628\u0639\u0629 \u0627\u0644\u062a\u0627\u0644\u064a\u0629 \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0637\u0631\u064a\u0642\u0629 \u0627\u0644\u0645\u062d\u062f\u062f: <\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-eb735917d200ed35918cd44be6bd155b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A=\\begin{pmatrix} -3 &amp; -2 \\\\[1.1ex] 5 &amp; 4  \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"122\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E3F2FD boto_ver_solucion\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E3F2FD\" style=\"text-align:center;text-align:right;direction:rtl\">\n<div class=\"otfm-sp__title\" style=\";text-align:right;direction:rtl\"> <strong>\u0627\u0646\u0638\u0631 \u0627\u0644\u062d\u0644<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0635\u064a\u063a\u0629 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u0639\u0643\u0633\u064a\u0629 \u0647\u064a:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-1fe85ec6c4385daba7d2488b0d60ee2d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^{-1} = \\cfrac{1}{\\vert A \\vert } \\cdot \\Bigl( \\text{Adj}(A)\\Bigr)^{\\bm{t}}\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"175\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0646\u062d\u0633\u0628 \u0623\u0648\u0644\u0627\u064b \u0645\u062d\u062f\u062f \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-49cd3daf7c50c811e78c29efe036bda4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\begin{vmatrix}A\\end{vmatrix}=\\begin{vmatrix} -3 &amp; -2 \\\\[1.1ex] 5 &amp; 4\\end{vmatrix} = -12+10 = -2\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"260\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0627\u0644\u0645\u062d\u062f\u062f \u064a\u062e\u062a\u0644\u0641 \u0639\u0646 0\u060c \u0644\u0630\u0644\u0643 \u064a\u0645\u0643\u0646 \u0639\u0643\u0633 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629.<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u062f\u0639\u0648\u0646\u0627 \u0627\u0644\u0622\u0646 \u0646\u062d\u0633\u0628 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u0645\u062c\u0627\u0648\u0631\u0629 \u0644\u0640 A: <\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-8bff9fecfd83ca1edacba562d8714cbf_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{Adjunto de -3} =\\displaystyle (-1)^{1+1} \\bm{\\cdot} \\begin{vmatrix} 4 \\end{vmatrix} = 1 \\cdot 4 = \\bm{4}\" title=\"Rendered by QuickLaTeX.com\" height=\"23\" width=\"309\" style=\"vertical-align: -7px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-b558b2d47ccf4b3065ed8b26ab620502_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{Adjunto de -2} =\\displaystyle (-1)^{1+2} \\bm{\\cdot} \\begin{vmatrix} 5\\end{vmatrix} = -1 \\cdot 5 = \\bm{-5}\" title=\"Rendered by QuickLaTeX.com\" height=\"23\" width=\"335\" style=\"vertical-align: -7px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-b6d0a26085435c08c6d60ab80f4fbb2d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{Adjunto de 5}  =\\displaystyle (-1)^{2+1} \\bm{\\cdot} \\begin{vmatrix} -2 \\end{vmatrix} = -1 \\cdot (-2) = \\bm{2}\" title=\"Rendered by QuickLaTeX.com\" height=\"23\" width=\"357\" style=\"vertical-align: -7px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-79a60c5e3003ea311503867a147c1500_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{Adjunto de 4} =\\displaystyle (-1)^{2+2} \\bm{\\cdot} \\begin{vmatrix} -3 \\end{vmatrix} = 1 \\cdot (-3) = \\bm{-3}\" title=\"Rendered by QuickLaTeX.com\" height=\"23\" width=\"358\" style=\"vertical-align: -7px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-208ab7161076485ca6928bd1208f6714_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\displaystyle \\text{Adj}(A) = \\begin{pmatrix} 4 &amp; -5  \\\\[1.1ex] 2 &amp; -3 \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"151\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0628\u0645\u062c\u0631\u062f \u0627\u0644\u0639\u062b\u0648\u0631 \u0639\u0644\u0649 \u0645\u062d\u062f\u062f \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u0648\u0627\u0644\u0645\u062c\u0627\u0648\u0631 \u0644\u0647\u0627\u060c \u0646\u0639\u0648\u0636 \u0628\u0642\u064a\u0645\u062a\u0647\u0645\u0627 \u0641\u064a \u0627\u0644\u0635\u064a\u063a\u0629: <\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-1fe85ec6c4385daba7d2488b0d60ee2d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^{-1} = \\cfrac{1}{\\vert A \\vert } \\cdot \\Bigl( \\text{Adj}(A)\\Bigr)^{\\bm{t}}\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"175\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-babecc87455bdc54006a77ba5369e540_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^{-1} = \\cfrac{1}{-2} \\cdot \\begin{pmatrix} 4 &amp; -5 \\\\[1.1ex] 2 &amp; -3 \\end{pmatrix}^{\\bm{t}}\" title=\"Rendered by QuickLaTeX.com\" height=\"57\" width=\"173\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0646\u0642\u0648\u0645 \u0628\u062a\u063a\u064a\u064a\u0631 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u0645\u0631\u0641\u0642\u0629:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-17529597656a112a27d136ca212834d8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^{-1} = \\cfrac{1}{-2} \\cdot \\begin{pmatrix} 4 &amp; 2 \\\\[1.1ex] -5 &amp; -3 \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"178\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0646\u062d\u0646 \u0646\u0636\u0631\u0628 \u0643\u0644 \u0639\u0646\u0635\u0631 \u0641\u064a <\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-6f70ecad488bad8503fe7f8427180e2e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{1}{-2} :\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"32\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-be52d2df839244cbb0b0ee00c9e45265_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^{-1} = \\begin{pmatrix} \\cfrac{4}{-2} &amp; \\cfrac{2}{-2} \\\\[3ex] \\cfrac{-5}{-2} &amp; \\cfrac{-3}{-2} \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"97\" width=\"163\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a \u0641\u0625\u0646 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u0639\u0643\u0633\u064a\u0629 \u0644\u0640 A \u0647\u064a: <\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-13e218c7d075daba3f875345f324d001_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\bm{A^{-1} =} \\begin{pmatrix} \\bm{-2} &amp; \\bm{-1} \\\\[2ex] \\cfrac{\\bm{5}}{\\bm{2}} &amp; \\cfrac{\\bm{3}}{\\bm{2}} \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"76\" width=\"141\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\" style=\";text-align:right;direction:rtl\"><\/div>\n<h4 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\">\u0627\u0644\u062a\u0645\u0631\u064a\u0646 3<\/h4>\n<p style=\";text-align:right;direction:rtl\"> \u0627\u0642\u0644\u0628 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u062a\u0627\u0644\u064a\u0629 \u0630\u0627\u062a \u0627\u0644\u0628\u0639\u062f 3\u00d73 \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0637\u0631\u064a\u0642\u0629 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u0645\u062c\u0627\u0648\u0631\u0629: <\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-d1b6a5f638281754d80983b5a50e15be_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A=\\begin{pmatrix}2&amp;3&amp;-2\\\\[1.1ex] 1&amp;4&amp;1\\\\[1.1ex] 2&amp;1&amp;-3\\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"85\" width=\"136\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E3F2FD boto_ver_solucion\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E3F2FD\" style=\"text-align:center;text-align:right;direction:rtl\">\n<div class=\"otfm-sp__title\" style=\";text-align:right;direction:rtl\"> <strong>\u0627\u0646\u0638\u0631 \u0627\u0644\u062d\u0644<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0635\u064a\u063a\u0629 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u0639\u0643\u0633\u064a\u0629 \u0647\u064a:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-1fe85ec6c4385daba7d2488b0d60ee2d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^{-1} = \\cfrac{1}{\\vert A \\vert } \\cdot \\Bigl( \\text{Adj}(A)\\Bigr)^{\\bm{t}}\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"175\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0646\u0642\u0648\u0645 \u0623\u0648\u0644\u0627\u064b \u0628\u062d\u0644 \u0645\u062d\u062f\u062f \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0642\u0627\u0639\u062f\u0629 \u0633\u0627\u0631\u0648\u0633:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-fcac1cb3935b1000b6493a2866e8728a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\begin{vmatrix}A\\end{vmatrix}=\\begin{vmatrix} 2&amp;3&amp;-2\\\\[1.1ex] 1&amp;4&amp;1\\\\[1.1ex] 2&amp;1&amp;-3 \\end{vmatrix} = -24+6-2+16-2+9 = 3\" title=\"Rendered by QuickLaTeX.com\" height=\"86\" width=\"381\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0627\u0644\u0645\u062d\u062f\u062f \u064a\u062e\u062a\u0644\u0641 \u0639\u0646 0\u060c \u0644\u0630\u0644\u0643 \u064a\u0645\u0643\u0646 \u0639\u0643\u0633 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629.<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0628\u0645\u062c\u0631\u062f \u062d\u0644 \u0627\u0644\u0645\u062d\u062f\u062f\u060c \u0646\u062c\u062f \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u0645\u062c\u0627\u0648\u0631\u0629 \u0644\u0640 A: <\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-c510482ac77a8c5d511c095de600f1ba_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{Adjunto de 2} = \\displaystyle (-1)^{1+1} \\bm{\\cdot} \\begin{vmatrix} 4&amp;1\\\\[1.1ex] 1&amp;-3 \\end{vmatrix} = 1 \\cdot (-13) = \\bm{-13}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"403\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-fa99e03d34c925098c1ad3ed6f06c745_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{Adjunto de 3} = \\displaystyle (-1)^{1+2} \\bm{\\cdot} \\begin{vmatrix}1&amp;1\\\\[1.1ex] 2&amp;-3\\end{vmatrix} = -1 \\cdot (-5) = \\bm{5}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"384\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-3bf9f8565b3e4a99ff254c7558699c13_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{Adjunto de -2}  = \\displaystyle (-1)^{1+3} \\bm{\\cdot} \\begin{vmatrix} 1&amp;4\\\\[1.1ex] 2&amp;1 \\end{vmatrix} = 1\\cdot (-7) = \\bm{-7}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"377\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-99e2c3f55fbba7b5faa014758b60f4a8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{Adjunto de 1} = \\displaystyle (-1)^{2+1} \\bm{\\cdot} \\begin{vmatrix} 3&amp;-2 \\\\[1.1ex] 1&amp;-3 \\end{vmatrix} = -1 \\cdot (-7) = \\bm{7}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"385\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-23326bccecf752508e7418cbbc8eacd3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{Adjunto de 4} = \\displaystyle (-1)^{2+2} \\bm{\\cdot} \\begin{vmatrix} 2&amp;-2\\\\[1.1ex] 2&amp;-3 \\end{vmatrix} = 1 \\cdot (-2) = \\bm{-2}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"384\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a9d056af07ce26751783152a67cdedb6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{Adjunto de 1} = \\displaystyle (-1)^{2+3} \\bm{\\cdot} \\begin{vmatrix} 2&amp;3\\\\[1.1ex] 2&amp;1\\end{vmatrix} = -1 \\cdot (-4) = \\bm{4}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"371\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-bed501806c35c94e491ad2063b2d0653_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{Adjunto de 2}  = \\displaystyle (-1)^{3+1} \\bm{\\cdot} \\begin{vmatrix} 3&amp;-2\\\\[1.1ex] 4&amp;1\\end{vmatrix} = 1 \\cdot 11 = \\bm{11}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"360\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-3f108a61eec662b9420708f6920060be_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{Adjunto de 1} = \\displaystyle (-1)^{3+2} \\bm{\\cdot} \\begin{vmatrix} 2&amp;-2\\\\[1.1ex] 1&amp;1\\end{vmatrix} = -1 \\cdot 4 = \\bm{-4}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"371\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-77a152a00dbb5f1e0f8702dd9511095a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{Adjunto de -3} = \\displaystyle (-1)^{3+3} \\bm{\\cdot} \\begin{vmatrix} 2&amp;3\\\\[1.1ex] 1&amp;4 \\end{vmatrix} = 1 \\cdot 5 = \\bm{5}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"335\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-b4642a75697fd30286065cdb4063a7bd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\displaystyle \\text{Adj}(A) = \\begin{pmatrix} -13 &amp; 5 &amp; -7  \\\\[1.1ex] 7 &amp; -2 &amp; 4 \\\\[1.1ex] 11 &amp; -4 &amp; 5 \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"85\" width=\"215\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0628\u0645\u062c\u0631\u062f \u0623\u0646 \u0646\u062d\u0633\u0628 \u0645\u062d\u062f\u062f \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u0648\u0627\u0644\u0645\u062c\u0627\u0648\u0631 \u0644\u0647\u0627\u060c \u0646\u0639\u0648\u0636 \u0628\u0642\u064a\u0645\u062a\u0647\u0645\u0627 \u0641\u064a \u0627\u0644\u0635\u064a\u063a\u0629: <\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-1fe85ec6c4385daba7d2488b0d60ee2d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^{-1} = \\cfrac{1}{\\vert A \\vert } \\cdot \\Bigl( \\text{Adj}(A)\\Bigr)^{\\bm{t}}\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"175\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-fae003a07d40b69690566cde77857c3a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^{-1} = \\cfrac{1}{3} \\cdot \\begin{pmatrix} -13 &amp; 5 &amp; -7 \\\\[1.1ex] 7 &amp; -2 &amp; 4 \\\\[1.1ex] 11 &amp; -4 &amp; 5 \\end{pmatrix}^{\\bm{t}}\" title=\"Rendered by QuickLaTeX.com\" height=\"89\" width=\"224\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0646\u0642\u0648\u0645 \u0628\u062a\u063a\u064a\u064a\u0631 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u0645\u0631\u0641\u0642\u0629:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-55717407766afe98f50ca75f20536edc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^{-1} = \\cfrac{1}{3} \\cdot \\begin{pmatrix} -13 &amp; 7 &amp; 11 \\\\[1.1ex] 5 &amp; -2 &amp; -4 \\\\[1.1ex] -7 &amp; 4 &amp; 5 \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"85\" width=\"215\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0648\u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u0645\u0642\u0644\u0648\u0628\u0629 A \u0647\u064a: <\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-9835713a5b791ee959d6571d706180f3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\bm{A^{-1} =} \\begin{pmatrix} \\sfrac{\\bm{-13}}{\\bm{3}} &amp; \\sfrac{\\bm{7}}{\\bm{3}} &amp; \\sfrac{\\bm{11}}{\\bm{3}} \\\\[1.1ex] \\sfrac{\\bm{5}}{\\bm{3}} &amp; \\sfrac{\\bm{-2}}{\\bm{3}} &amp; \\sfrac{\\bm{-4}}{\\bm{3}} \\\\[1.1ex] \\sfrac{\\bm{-7}}{\\bm{3}} &amp; \\sfrac{\\bm{4}}{\\bm{3}} &amp; \\sfrac{\\bm{5}}{\\bm{3}}\\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"85\" width=\"216\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\" style=\";text-align:right;direction:rtl\"><\/div>\n<h4 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\">\u0627\u0644\u062a\u0645\u0631\u064a\u0646 4<\/h4>\n<p style=\";text-align:right;direction:rtl\"> \u0627\u0639\u0643\u0633 \u0627\u0644\u062a\u0631\u062a\u064a\u0628 \u0627\u0644\u062a\u0627\u0644\u064a \u0644\u0644\u0645\u0635\u0641\u0648\u0641\u0629 3 \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0637\u0631\u064a\u0642\u0629 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u0645\u062c\u0627\u0648\u0631\u0629: <\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-bf71320b51e9514d1c372389aeb3410a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A=\\begin{pmatrix}4&amp;5&amp;-1\\\\[1.1ex] -1&amp;3&amp;2\\\\[1.1ex] 3&amp;8&amp;1\\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"85\" width=\"150\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E3F2FD boto_ver_solucion\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E3F2FD\" style=\"text-align:center;text-align:right;direction:rtl\">\n<div class=\"otfm-sp__title\" style=\";text-align:right;direction:rtl\"> <strong>\u0627\u0646\u0638\u0631 \u0627\u0644\u062d\u0644<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0635\u064a\u063a\u0629 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u0639\u0643\u0633\u064a\u0629 \u0647\u064a:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-1fe85ec6c4385daba7d2488b0d60ee2d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^{-1} = \\cfrac{1}{\\vert A \\vert } \\cdot \\Bigl( \\text{Adj}(A)\\Bigr)^{\\bm{t}}\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"175\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0646\u062d\u062a\u0627\u062c \u0625\u0644\u0649 \u062d\u0633\u0627\u0628 \u0645\u062d\u062f\u062f \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u0623\u0648\u0644\u064b\u0627\u060c \u0644\u0623\u0646\u0647 \u0625\u0630\u0627 \u0643\u0627\u0646 \u0627\u0644\u0645\u062d\u062f\u062f 0\u060c \u0641\u0647\u0630\u0627 \u064a\u0639\u0646\u064a \u0623\u0646 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u0644\u064a\u0633 \u0644\u0647\u0627 \u0645\u0639\u0643\u0648\u0633.<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-eb7dc647f4121450eeadf2f5b62b4475_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\begin{vmatrix}A\\end{vmatrix}=\\begin{vmatrix} 4&amp;5&amp;-1\\\\[1.1ex] -1&amp;3&amp;2\\\\[1.1ex] 3&amp;8&amp;1 \\end{vmatrix} = 12+30+8+9-64+5 = \\bm{0}\" title=\"Rendered by QuickLaTeX.com\" height=\"86\" width=\"389\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0645\u062d\u062f\u062f A \u0647\u0648 0\u060c <strong>\u0644\u0630\u0644\u0643 \u0644\u0627 \u064a\u0645\u0643\u0646 \u0639\u0643\u0633 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629.<\/strong><\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\" style=\";text-align:right;direction:rtl\"><\/div>\n<h4 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"> \u0627\u0644\u062a\u0645\u0631\u064a\u0646 5<\/h4>\n<p style=\";text-align:right;direction:rtl\"> \u0627\u0642\u0644\u0628 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u0645\u0631\u0628\u0639\u0629 3 \u00d7 3 \u0627\u0644\u062a\u0627\u0644\u064a\u0629 \u0628\u0637\u0631\u064a\u0642\u0629 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u0645\u062d\u062f\u062f\u0629: <\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-92e56e0f8013b6b65c0894a139537cae_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A=\\begin{pmatrix}1 &amp; 4 &amp; -3 \\\\[1.1ex] -2 &amp; 1 &amp; 0 \\\\[1.1ex] -1 &amp; -2 &amp; 2\\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"85\" width=\"164\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E3F2FD boto_ver_solucion\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E3F2FD\" style=\"text-align:center;text-align:right;direction:rtl\">\n<div class=\"otfm-sp__title\" style=\";text-align:right;direction:rtl\"> <strong>\u0627\u0646\u0638\u0631 \u0627\u0644\u062d\u0644<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0635\u064a\u063a\u0629 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u0639\u0643\u0633\u064a\u0629 \u0647\u064a:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-1fe85ec6c4385daba7d2488b0d60ee2d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^{-1} = \\cfrac{1}{\\vert A \\vert } \\cdot \\Bigl( \\text{Adj}(A)\\Bigr)^{\\bm{t}}\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"175\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0623\u0648\u0644\u064b\u0627\u060c \u0646\u062d\u0644 \u0645\u062d\u062f\u062f \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0642\u0627\u0639\u062f\u0629 \u0633\u0627\u0631\u0648\u0633:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-07f116ed906c31644ed0513667988e6f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\lvert A \\rvert = \\begin{vmatrix} 1 &amp; 4 &amp; -3 \\\\[1.1ex] -2 &amp; 1 &amp; 0 \\\\[1.1ex] -1 &amp; -2 &amp; 2 \\end{vmatrix} = 2+0-12-3-0+16 = 3\" title=\"Rendered by QuickLaTeX.com\" height=\"86\" width=\"392\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0627\u0644\u0645\u062d\u062f\u062f \u064a\u062e\u062a\u0644\u0641 \u0639\u0646 0\u060c \u0644\u0630\u0644\u0643 \u064a\u0645\u0643\u0646 \u0639\u0643\u0633 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629.<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0628\u0645\u062c\u0631\u062f \u062d\u0644 \u0627\u0644\u0645\u062d\u062f\u062f\u060c \u0646\u062c\u062f \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u0645\u062c\u0627\u0648\u0631\u0629 \u0644\u0640 A: <\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-20da2eac0d49b1134b39b1f5c95c5659_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\text{Adjunto de 1} =  (-1)^{1+1} \\bm{\\cdot} \\begin{vmatrix}  1 &amp; 0 \\\\[1.1ex]  -2 &amp; 2 \\end{vmatrix} = 1 \\bm{\\cdot} (2-0) = \\bm{2}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"377\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-c5b80624f0963dfb1a111d96b4e1ceae_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\text{Adjunto de 4} =  (-1)^{1+2} \\bm{\\cdot} \\begin{vmatrix}  -2 &amp;  0 \\\\[1.1ex] -1 &amp; 2 \\end{vmatrix} = -1 \\bm{\\cdot} (-4-0) = \\bm{4}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"405\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-50dd371e77d1896adb197321b68efd1d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\text{Adjunto de -3} = (-1)^{1+3} \\bm{\\cdot} \\begin{vmatrix} -2 &amp; 1 \\\\[1.1ex] -1 &amp; -2 \\end{vmatrix} = 1 \\bm{\\cdot} \\bigl(4-(-1)\\bigr) = \\bm{5}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"427\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-60b779f4366a3ef38ae522fcfca8e7d6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\text{Adjunto de -2} =  (-1)^{2+1} \\bm{\\cdot} \\begin{vmatrix}  4 &amp; -3  \\\\[1.1ex]  -2 &amp; 2 \\end{vmatrix} = -1 \\bm{\\cdot} (8-6) = \\bm{-2}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"424\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-51cb00c42e6932810a4220eb85c61acd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\text{Adjunto de 1} = (-1)^{2+2} \\bm{\\cdot} \\begin{vmatrix} 1 &amp;  -3  \\\\[1.1ex] -1 &amp;  2 \\end{vmatrix} = 1 \\bm{\\cdot} (2-3) = \\bm{-1}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"405\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a3b26cbfa55d5567d2dae10c5dfbd158_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\text{Adjunto de 0} =  (-1)^{2+3} \\bm{\\cdot} \\begin{vmatrix} 1 &amp; 4  \\\\[1.1ex] -1 &amp; -2 \\end{vmatrix} = -1 \\bm{\\cdot} \\bigl(-2-(-4)\\bigr) = \\bm{-2}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"462\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-8d9f1bf4f5e01df910cd59bd4b25f816_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\text{Adjunto de -1} = (-1)^{3+1} \\bm{\\cdot} \\begin{vmatrix}  4 &amp; -3 \\\\[1.1ex]  1 &amp; 0  \\end{vmatrix} = 1 \\bm{\\cdot} \\bigl(0-(-3)\\bigr) = \\bm{3}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"414\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-8ce129b17734facf076e48fb1928d0e1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\text{Adjunto de -2}   = (-1)^{3+2} \\bm{\\cdot} \\begin{vmatrix} 1 &amp; -3 \\\\[1.1ex] -2 &amp; 0 \\end{vmatrix} = -1 \\cdot (0-6) = \\bm{6}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"419\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-3c8b319461dad7880bf2b9f20187b6fb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\text{Adjunto de 2} =  (-1)^{3+3} \\bm{\\cdot} \\begin{vmatrix} 1 &amp; 4 \\\\[1.1ex] -2 &amp; 1 \\end{vmatrix} = 1 \\bm{\\cdot} \\bigl(1-(-8)\\bigr) = \\bm{9}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"408\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-748fcb9d9d2a8326379da4d2bd08534a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\displaystyle \\text{Adj}(A) = \\begin{pmatrix} 2 &amp; 4 &amp; 5 \\\\[1.1ex] -2 &amp; -1 &amp; -2 \\\\[1.1ex] 3 &amp; 6 &amp; 9 \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"85\" width=\"206\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0628\u0645\u062c\u0631\u062f \u0623\u0646 \u0646\u062d\u0633\u0628 \u0645\u062d\u062f\u062f \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u0648\u0627\u0644\u0645\u062c\u0627\u0648\u0631 \u0644\u0647\u0627\u060c \u0646\u0639\u0648\u0636 \u0628\u0642\u064a\u0645\u062a\u0647\u0645\u0627 \u0641\u064a \u0627\u0644\u0635\u064a\u063a\u0629: <\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-1fe85ec6c4385daba7d2488b0d60ee2d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^{-1} = \\cfrac{1}{\\vert A \\vert } \\cdot \\Bigl( \\text{Adj}(A)\\Bigr)^{\\bm{t}}\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"175\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-3a0fc0e6effb520e22ff82c3034b4d4c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^{-1} = \\cfrac{1}{3} \\cdot \\begin{pmatrix} 2 &amp; 4 &amp; 5 \\\\[1.1ex] -2 &amp; -1 &amp; -2 \\\\[1.1ex] 3 &amp; 6 &amp; 9\\end{pmatrix}^{\\bm{t}}\" title=\"Rendered by QuickLaTeX.com\" height=\"89\" width=\"215\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0646\u0642\u0648\u0645 \u0628\u062a\u063a\u064a\u064a\u0631 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u0645\u0631\u0641\u0642\u0629:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-bba6ddbc8ab9f2c64eb03cdb9fea530a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^{-1} = \\cfrac{1}{3} \\cdot \\begin{pmatrix} 2 &amp; -2 &amp; 3 \\\\[1.1ex] 4 &amp; -1 &amp; 6 \\\\[1.1ex] 5 &amp; -2 &amp; 9 \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"85\" width=\"178\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0648\u0623\u062e\u064a\u0631\u064b\u0627 \u0646\u0639\u0645\u0644: <\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-41f999c23e7d5ce129b410b9f486983e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^{-1} = \\begin{pmatrix} \\sfrac{2}{3} &amp; \\sfrac{-2}{3} &amp; \\sfrac{3}{3} \\\\[1.1ex] \\sfrac{4}{3} &amp; \\sfrac{-1}{3} &amp; \\sfrac{6}{3} \\\\[1.1ex] \\sfrac{5}{3} &amp; \\sfrac{-2}{3} &amp; \\sfrac{9}{3} \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"85\" width=\"181\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<div class=\"wp-block-image\" style=\";text-align:right;direction:rtl\">\n<figure class=\"aligncenter is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/exercice-resolu-matrice-inverse-par-matrice-adjointe-33.webp\" alt=\"\u062a\u0645\u0631\u064a\u0646 \u062a\u0645 \u062d\u0644\u0647 \u062e\u0637\u0648\u0629 \u0628\u062e\u0637\u0648\u0629 \u0644\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u0639\u0643\u0633\u064a\u0629 \u0628\u0637\u0631\u064a\u0642\u0629 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u0645\u062c\u0627\u0648\u0631\u0629 3x3\" width=\"232\" height=\"104\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\" style=\";text-align:right;direction:rtl\"><\/div>\n<h2 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"> \u0639\u0643\u0633 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0637\u0631\u064a\u0642\u0629 \u063a\u0627\u0648\u0633:<\/h2>\n<div class=\"adsb30\" style=\" margin:px; text-align:;text-align:right;direction:rtl\"><\/div>\n<p style=\";text-align:right;direction:rtl\"> <strong>\u0644\u062d\u0633\u0627\u0628 \u0645\u0639\u0643\u0648\u0633 \u0645\u0635\u0641\u0648\u0641\u0629 \u0628\u0637\u0631\u064a\u0642\u0629 \u063a\u0627\u0648\u0633<\/strong> \u060c <strong>\u064a\u062c\u0628 \u0639\u0644\u064a\u0643 \u0625\u062c\u0631\u0627\u0621 \u0639\u0645\u0644\u064a\u0627\u062a \u0639\u0644\u0649 \u0635\u0641\u0648\u0641 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629<\/strong> (\u0633\u0646\u0631\u0649 \u0630\u0644\u0643 \u0644\u0627\u062d\u0642\u0627). \u0644\u0630\u0644\u0643 \u0642\u0628\u0644 \u0627\u0644\u0627\u0637\u0644\u0627\u0639 \u0639\u0644\u0649 \u0643\u064a\u0641\u064a\u0629 \u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0637\u0631\u064a\u0642\u0629 \u063a\u0627\u0648\u0633\u060c \u0645\u0646 \u0627\u0644\u0645\u0647\u0645 \u0623\u0646 \u062a\u0639\u0631\u0641 \u062c\u0645\u064a\u0639 \u0627\u0644\u0639\u0645\u0644\u064a\u0627\u062a \u0627\u0644\u062a\u064a \u064a\u0645\u0643\u0646 \u0625\u062c\u0631\u0627\u0624\u0647\u0627 \u0639\u0644\u0649 \u0635\u0641\u0648\u0641 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0627\u062a:<\/p>\n<h3 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"> \u062a\u062d\u0648\u064a\u0644\u0627\u062a \u0627\u0644\u062e\u0637 \u0627\u0644\u0645\u0633\u0645\u0648\u062d \u0628\u0647\u0627 \u0641\u064a \u0627\u0644\u0637\u0631\u064a\u0642\u0629 \u0627\u0644\u063a\u0648\u0633\u064a\u0629<\/h3>\n<ul style=\";text-align:right;direction:rtl\">\n<li style=\";text-align:right;direction:rtl\"> <strong><span style=\"color:#1976d2;\">\u062a\u063a\u064a\u064a\u0631 \u062a\u0631\u062a\u064a\u0628<\/span><\/strong> \u0635\u0641\u0648\u0641 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629.<\/li>\n<\/ul>\n<p style=\";text-align:right;direction:rtl\"> \u0639\u0644\u0649 \u0633\u0628\u064a\u0644 \u0627\u0644\u0645\u062b\u0627\u0644\u060c \u064a\u0645\u0643\u0646\u0646\u0627 \u062a\u063a\u064a\u064a\u0631 \u062a\u0631\u062a\u064a\u0628 \u0627\u0644\u0633\u0637\u0631\u064a\u0646 2 \u0648 3 \u0645\u0646 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-1d3f607625afb96bfb250168bd330818_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left( \\begin{array}{ccc} 3 &amp; 5 &amp; -2 \\\\[2ex] -2 &amp; 4 &amp; -1  \\\\[2ex] 6 &amp; 1 &amp; -3 \\end{array} \\right)  \\begin{array}{c} \\\\[2ex] \\xrightarrow{ f_2 \\rightarrow f_3}} \\\\[2ex] \\xrightarrow{ f_3 \\rightarrow f_2}} \\end{array} \\left( \\begin{array}{ccc} 3 &amp; 5 &amp; -2  \\\\[2ex] 6 &amp; 1 &amp; -3  \\\\[2ex] -2 &amp; 4 &amp; -1 \\end{array} \\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"98\" width=\"331\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<ul style=\";text-align:right;direction:rtl\">\n<li style=\";text-align:right;direction:rtl\"> <strong><span style=\"color:#1976d2;\">\u0636\u0631\u0628 \u0623\u0648 \u0642\u0633\u0645\u0629<\/span><\/strong> \u062c\u0645\u064a\u0639 \u0627\u0644\u062d\u062f\u0648\u062f \u0641\u064a \u0635\u0641 \u0648\u0627\u062d\u062f \u0639\u0644\u0649 \u0631\u0642\u0645 \u063a\u064a\u0631 0.<\/li>\n<\/ul>\n<p style=\";text-align:right;direction:rtl\"> \u0639\u0644\u0649 \u0633\u0628\u064a\u0644 \u0627\u0644\u0645\u062b\u0627\u0644\u060c \u064a\u0645\u0643\u0646\u0646\u0627 \u0636\u0631\u0628 \u0627\u0644\u0633\u0637\u0631 1 \u0641\u064a 4 \u0648\u062a\u0642\u0633\u064a\u0645 \u0627\u0644\u0633\u0637\u0631 3 \u0639\u0644\u0649 2:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-3cca4df71c23b1f005068a0a93b77dfe_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left( \\begin{array}{ccc} 1 &amp; -2 &amp; 3 \\\\[2ex] 3 &amp; -1 &amp; 5  \\\\[2ex] 2 &amp; -4 &amp; -2  \\end{array} \\right) \\begin{array}{c}  \\xrightarrow{4  f_1} \\\\[2ex]  \\\\[2ex] \\xrightarrow{ f_3 \/ 2} \\end{array} \\left( \\begin{array}{ccc} 4 &amp; -8 &amp; 12 \\\\[2ex] 3 &amp; -1 &amp; 5  \\\\[2ex] 1 &amp; -2 &amp; -1  \\end{array} \\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"103\" width=\"318\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<ul style=\";text-align:right;direction:rtl\">\n<li style=\";text-align:right;direction:rtl\"> <strong><span style=\"color:#1976d2;\">\u0627\u0633\u062a\u0628\u062f\u0644 \u0635\u0641\u064b\u0627<\/span><\/strong> \u0628\u0645\u062c\u0645\u0648\u0639 \u0627\u0644\u0635\u0641 \u0646\u0641\u0633\u0647 \u0628\u0627\u0644\u0625\u0636\u0627\u0641\u0629 \u0625\u0644\u0649 \u0635\u0641 \u0622\u062e\u0631 \u0645\u0636\u0631\u0648\u0628\u064b\u0627 \u0641\u064a \u0631\u0642\u0645.<\/li>\n<\/ul>\n<p style=\";text-align:right;direction:rtl\"> \u0639\u0644\u0649 \u0633\u0628\u064a\u0644 \u0627\u0644\u0645\u062b\u0627\u0644\u060c \u0641\u064a \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u062a\u0627\u0644\u064a\u0629\u060c \u0646\u0636\u064a\u0641 \u0627\u0644\u0635\u0641 3 \u0645\u0636\u0631\u0648\u0628\u064b\u0627 \u0641\u064a 1 \u0625\u0644\u0649 \u0627\u0644\u0635\u0641 2:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-8ca6644f015dd42ddbf4ab159bd10dec_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left( \\begin{array}{ccc} -1 &amp; -3 &amp; 4  \\\\[2ex] 2 &amp; 4 &amp; 1  \\\\[2ex] 1 &amp; -2 &amp; 3  \\end{array} \\right) \\begin{array}{c}   \\\\[2ex]  \\xrightarrow{f_2 + 1\\cdot f_3}  \\\\[2ex] &amp; \\end{array} \\left( \\begin{array}{ccc} -1 &amp; -3 &amp; 4  \\\\[2ex] 3 &amp; 2 &amp; 4  \\\\[2ex] 1 &amp; -2 &amp; 3  \\end{array} \\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"96\" width=\"339\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<h3 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"> \u0645\u062b\u0627\u0644 \u0644\u062d\u0633\u0627\u0628 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u0639\u0643\u0633\u064a\u0629 \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0637\u0631\u064a\u0642\u0629 \u063a\u0627\u0648\u0633:<\/h3>\n<p style=\";text-align:right;direction:rtl\"> \u062f\u0639\u0648\u0646\u0627 \u0646\u0631\u0649 \u0628\u0645\u062b\u0627\u0644 \u0643\u064a\u0641\u064a\u0629 \u062a\u0637\u0628\u064a\u0642 <strong>\u0637\u0631\u064a\u0642\u0629 \u063a\u0627\u0648\u0633<\/strong> \u0644\u0639\u0643\u0633 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629:<\/p>\n<ul style=\";text-align:right;direction:rtl\">\n<li style=\";text-align:right;direction:rtl\"> \u0627\u062d\u0633\u0628 \u0645\u0639\u0643\u0648\u0633 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u062a\u0627\u0644\u064a\u0629:<\/li>\n<\/ul>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-71553480cefa679dcb8eb98d97e0c717_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  A = \\left( \\begin{array}{ccc} 1 &amp; 0 &amp; 1 \\\\[2ex] 0 &amp; 2 &amp; 1 \\\\[2ex] 1 &amp; 5 &amp; 4 \\end{array} \\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"96\" width=\"139\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0623\u0648\u0644 \u0634\u064a\u0621 \u064a\u062a\u0639\u064a\u0646 \u0639\u0644\u064a\u0646\u0627 \u0627\u0644\u0642\u064a\u0627\u0645 \u0628\u0647 \u0647\u0648 \u0627\u0644\u062c\u0645\u0639 \u0628\u064a\u0646 <strong>\u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 A \u0648\u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u0647\u0648\u064a\u0629 \u0641\u064a \u0645\u0635\u0641\u0648\u0641\u0629 \u0648\u0627\u062d\u062f\u0629<\/strong> . \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 A \u0639\u0644\u0649 \u0627\u0644\u064a\u0633\u0627\u0631 \u0648\u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u0647\u0648\u064a\u0629 \u0639\u0644\u0649 \u0627\u0644\u064a\u0645\u064a\u0646: <\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-d0650812fe7946f6da1e7973709dfde1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle   \\bigl( A \\  \\lvert \\ I \\bigr)\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"51\" style=\"vertical-align: -7px;\"><\/p>\n<\/p>\n<div class=\"wp-block-image\" style=\";text-align:right;direction:rtl\">\n<figure class=\"aligncenter is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/exercice-resolu-matrice-inverse-par-la-methode-de-gauss-32153.webp\" alt=\"\u062a\u0645\u0631\u064a\u0646 \u062a\u0645 \u062d\u0644\u0647 \u062e\u0637\u0648\u0629 \u0628\u062e\u0637\u0648\u0629 \u0644\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u0639\u0643\u0633\u064a\u0629 \u0628\u0637\u0631\u064a\u0642\u0629 3x3 \u063a\u0627\u0648\u0633\" width=\"203\" height=\"120\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p class=\"has-background\" style=\"background-color:#dff6ff;text-align:right;direction:rtl\"> \u0644\u062d\u0633\u0627\u0628 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u0639\u0643\u0633\u064a\u0629\u060c \u0646\u062d\u062a\u0627\u062c <strong>\u0625\u0644\u0649 \u062a\u062d\u0648\u064a\u0644 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u064a\u0633\u0631\u0649 \u0625\u0644\u0649 \u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u0647\u0648\u064a\u0629.<\/strong> \u0648\u0644\u0644\u0642\u064a\u0627\u0645 \u0628\u0630\u0644\u0643\u060c \u0646\u062d\u062a\u0627\u062c \u0625\u0644\u0649 \u062a\u0637\u0628\u064a\u0642 \u0627\u0644\u062a\u062d\u0648\u064a\u0644\u0627\u062a \u0639\u0644\u0649 \u0627\u0644\u0635\u0641\u0648\u0641 \u062d\u062a\u0649 \u0646\u0635\u0644 \u0625\u0644\u0649 \u0647\u0646\u0627\u0643.<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0633\u0646\u0646\u062a\u0642\u0644 \u0625\u0644\u0649 \u0627\u0644\u0623\u0639\u0645\u062f\u0629\u060c \u0623\u064a \u0623\u0646\u0646\u0627 \u0633\u0646\u062c\u0631\u064a \u0639\u0645\u0644\u064a\u0627\u062a \u0639\u0644\u0649 \u0627\u0644\u0635\u0641\u0648\u0641 \u0644\u062a\u062d\u0648\u064a\u0644 \u0627\u0644\u0623\u0631\u0642\u0627\u0645 \u0627\u0644\u0645\u0648\u062c\u0648\u062f\u0629 \u0641\u064a \u0627\u0644\u0639\u0645\u0648\u062f \u0627\u0644\u0623\u0648\u0644 \u0623\u0648\u0644\u0627\u064b\u060c \u062b\u0645 \u062a\u0644\u0643 \u0627\u0644\u0645\u0648\u062c\u0648\u062f\u0629 \u0641\u064a \u0627\u0644\u0639\u0645\u0648\u062f \u0627\u0644\u062b\u0627\u0646\u064a\u060c \u0648\u0623\u062e\u064a\u0631\u064b\u0627 \u062a\u0644\u0643 \u0627\u0644\u0645\u0648\u062c\u0648\u062f\u0629 \u0641\u064a \u0627\u0644\u0639\u0645\u0648\u062f \u0627\u0644\u062b\u0627\u0644\u062b. <\/p>\n<div class=\"wp-block-columns is-layout-flex wp-container-35\" style=\";text-align:right;direction:rtl\">\n<div class=\"wp-block-column is-layout-flow\" style=\"flex-basis:66.66%;text-align:right;direction:rtl\">\n<p class=\"has-text-align-justify\" style=\";text-align:right;direction:rtl\"> \u0625\u0646 \u0627\u0644\u0631\u0642\u0645\u064a\u0646 1 \u06480 \u0641\u064a \u0627\u0644\u0639\u0645\u0648\u062f \u0627\u0644\u0623\u0648\u0644 \u0645\u0646\u0627\u0633\u0628\u0627\u0646 \u0628\u0627\u0644\u0641\u0639\u0644\u060c \u0646\u0638\u0631\u064b\u0627 \u0644\u0623\u0646 \u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u0647\u0648\u064a\u0629 \u062a\u062d\u062a\u0648\u064a \u0623\u064a\u0636\u064b\u0627 \u0639\u0644\u0649 1 \u06480 \u0641\u064a \u0647\u0630\u0647 \u0627\u0644\u0645\u0648\u0627\u0636\u0639. \u0648\u0644\u0630\u0644\u0643\u060c \u0644\u064a\u0633\u062a \u0647\u0646\u0627\u0643 \u062d\u0627\u062c\u0629 \u0644\u062a\u0637\u0628\u064a\u0642 \u062a\u062d\u0648\u064a\u0644 \u0639\u0644\u0649 \u0647\u0630\u0647 \u0627\u0644\u0635\u0641\u0648\u0641 \u0641\u064a \u0647\u0630\u0627 \u0627\u0644\u0648\u0642\u062a. <\/p>\n<\/div>\n<div class=\"wp-block-column is-layout-flow\" style=\"flex-basis:33.33%;text-align:right;direction:rtl\">\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-7f51b3a869dde9c1697be9e57fce1548_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left(  \\begin{array}{ccc|ccc} \\color{blue}\\boxed{\\color{black}1} &amp; 0 &amp; 1 &amp; 1 &amp; 0 &amp; 0 \\\\[2ex] \\color{blue}\\boxed{\\color{black}0} &amp; 2 &amp; 1 &amp; 0 &amp; 1 &amp; 0  \\\\[2ex] 1 &amp; 5 &amp; 4 &amp;0 &amp; 0 &amp; 1 \\end{array} \\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"101\" width=\"255\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<\/div>\n<\/div>\n<p style=\";text-align:right;direction:rtl\"> \u0648\u0645\u0639 \u0630\u0644\u0643\u060c \u0641\u0625\u0646 \u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u0647\u0648\u064a\u0629 \u062a\u062d\u062a\u0648\u064a \u0639\u0644\u0649 0 \u0641\u064a \u0627\u0644\u0639\u0646\u0635\u0631 \u0627\u0644\u0623\u062e\u064a\u0631 \u0645\u0646 \u0627\u0644\u0639\u0645\u0648\u062f \u0627\u0644\u0623\u0648\u0644\u060c \u062d\u064a\u062b \u0644\u062f\u064a\u0646\u0627 \u0627\u0644\u0622\u0646 1. \u0644\u0630\u0644\u0643 \u0646\u062d\u0646 \u0628\u062d\u0627\u062c\u0629 \u0625\u0644\u0649 \u062a\u062d\u0648\u064a\u0644 1 \u0625\u0644\u0649 0. \u0644\u0644\u0642\u064a\u0627\u0645 \u0628\u0630\u0644\u0643\u060c <strong>\u0623\u0636\u0641\u0646\u0627 \u0627\u0644\u0635\u0641 1 \u0645\u0636\u0631\u0648\u0628\u064b\u0627 \u0641\u064a &#8211; \u0625\u0644\u0649 \u0627\u0644\u0635\u0641 3.1 :<\/strong><\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-30b5442d5c5eac3e62aa7a7cae717e48_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{lrrr|rrr}  &amp; 1 &amp; 5 &amp; 4 &amp;0 &amp; 0 &amp; 1  \\\\ + &amp; -1 &amp; 0 &amp; -1 &amp; -1 &amp; 0 &amp; 0  \\\\ \\hline  &amp; 0 &amp; 5 &amp; 3 &amp; -1 &amp; 0 &amp; 1  \\end{array} \\begin{array}{l} \\color{blue}\\bm{\\leftarrow f_3} \\\\ \\color{blue}\\bm{\\leftarrow -f_1} \\\\ \\phantom{hline} \\\\ \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"68\" width=\"313\" style=\"vertical-align: -29px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0641\u0625\u0630\u0627 \u0642\u0645\u0646\u0627 \u0628\u0647\u0630\u0627 \u0627\u0644\u0645\u062c\u0645\u0648\u0639\u060c \u0633\u0646\u062d\u0635\u0644 \u0639\u0644\u0649 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u062a\u0627\u0644\u064a\u0629:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-992a31603c2182a97d31ddf787df4f06_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left(  \\begin{array}{ccc|ccc} 1 &amp; 0 &amp; 1 &amp; 1 &amp; 0 &amp; 0 \\\\[2ex] 0 &amp; 2 &amp; 1 &amp; 0 &amp; 1 &amp; 0  \\\\[2ex] 1 &amp; 5 &amp; 4 &amp;0 &amp; 0 &amp; 1 \\end{array} \\right) \\begin{array}{c}   \\\\[2ex]  \\\\[2ex] \\xrightarrow{f_3 - f_1} \\end{array} \\left(  \\begin{array}{ccc|ccc} 1 &amp; 0 &amp; 1 &amp; 1 &amp; 0 &amp; 0 \\\\[2ex] 0 &amp; 2 &amp; 1 &amp; 0 &amp; 1 &amp; 0  \\\\[2ex] \\color{blue}\\boxed{\\color{black}0} &amp; 5 &amp; 3 &amp; -1 &amp; 0 &amp; 1  \\end{array} \\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"100\" width=\"520\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0648\u0628\u0630\u0644\u0643 \u0646\u062c\u062d\u0646\u0627 \u0641\u064a \u062a\u062d\u0648\u064a\u0644 1 \u0625\u0644\u0649 0.<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0627\u0644\u0622\u0646 \u062f\u0639\u0646\u0627 \u0646\u0646\u062a\u0642\u0644 \u0625\u0644\u0649 \u0627\u0644\u0639\u0645\u0648\u062f \u0627\u0644\u062b\u0627\u0646\u064a \u0645\u0646 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u064a\u0633\u0631\u0649. \u0627\u0644\u0639\u0646\u0635\u0631 \u0627\u0644\u0623\u0648\u0644 \u0647\u0648 0\u060c \u0648\u0647\u0648 \u0623\u0645\u0631 \u062c\u064a\u062f \u0644\u0623\u0646 \u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u0647\u0648\u064a\u0629 \u0644\u062f\u064a\u0647\u0627 0 \u0641\u064a \u0646\u0641\u0633 \u0627\u0644\u0645\u0648\u0636\u0639. \u0648\u0645\u0639 \u0630\u0644\u0643\u060c \u0628\u062f\u0644\u0627\u064b \u0645\u0646 2 \u064a\u062c\u0628 \u0623\u0646 \u064a\u0643\u0648\u0646 \u0647\u0646\u0627\u0643 1\u060c <strong>\u0644\u0630\u0644\u0643 \u0646\u0642\u0633\u0645 \u0627\u0644\u0633\u0637\u0631 \u0627\u0644\u062b\u0627\u0646\u064a \u0639\u0644\u0649 2:<\/strong><\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a86b61ee601f9cd0ff9a70d1a280f887_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left(  \\begin{array}{ccc|ccc} 1 &amp; 0 &amp; 1 &amp; 1 &amp; 0 &amp; 0 \\\\[2ex] 0 &amp; 2 &amp; 1 &amp; 0 &amp; 1 &amp; 0  \\\\[2ex] 1 &amp; 5 &amp; 4 &amp;0 &amp; 0 &amp; 1 \\end{array} \\right) \\begin{array}{c}   \\\\[2ex] \\xrightarrow{f_2\/2}\\\\[2ex] &amp; \\end{array}  \\left(  \\begin{array}{ccc|ccc} 1 &amp; 0 &amp; 1 &amp; 1 &amp; 0 &amp; 0 \\\\[2ex] 0 &amp; \\color{blue}\\boxed{\\color{black}1} &amp; \\sfrac{1}{2} &amp; 0 &amp; \\sfrac{1}{2} &amp; 0  \\\\[2ex] 0 &amp; 5 &amp; 3 &amp; -1 &amp; 0 &amp; 1  \\end{array} \\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"100\" width=\"527\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0628\u0627\u0644\u0625\u0636\u0627\u0641\u0629 \u0625\u0644\u0649 \u0630\u0644\u0643\u060c \u0641\u064a \u0627\u0644\u0639\u0645\u0648\u062f \u0627\u0644\u062b\u0627\u0646\u064a \u0646\u062d\u062a\u0627\u062c \u0623\u064a\u0636\u064b\u0627 \u0625\u0644\u0649 \u062a\u062d\u0648\u064a\u0644 5 \u0625\u0644\u0649 0. \u062d\u0633\u0646\u064b\u0627\u060c \u0646\u0638\u0631\u064b\u0627 \u0644\u0623\u0646 5 \u0623\u0643\u0628\u0631 \u0628\u062e\u0645\u0633 \u0645\u0631\u0627\u062a \u0645\u0646 1 \u0641\u064a \u0627\u0644\u0635\u0641 \u0627\u0644\u062b\u0627\u0646\u064a\u060c <strong>\u0641\u0633\u0646\u0636\u064a\u0641 \u0627\u0644\u0635\u0641 2 \u0645\u0636\u0631\u0648\u0628\u064b\u0627 \u0641\u064a -5 \u0625\u0644\u0649 \u0627\u0644\u0635\u0641 3:<\/strong><\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-66dd50ad7ec5e4c45f5011094a0c21b3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{lrrr|rrr}  &amp; 0 &amp; 5 &amp; 3 &amp; -1 &amp; 0 &amp; 1  \\\\ + &amp; 0 &amp; -5 &amp; \\sfrac{-5}{2} &amp; 0 &amp; \\vphantom{\\Bigl(}\\sfrac{-5}{2} &amp; 0  \\\\ \\hline &amp; 0 &amp; 0 &amp;  \\sfrac{1}{2}  &amp; -1 &amp; \\sfrac{-5}{2} \\vphantom{\\Bigl(} &amp; 1  \\end{array} \\begin{array}{l} \\color{blue}\\bm{\\leftarrow f_3} \\\\ \\color{blue}\\bm{\\leftarrow -5f_2}\\vphantom{\\Bigl(} \\\\ \\phantom{hline} \\vphantom{\\Bigl(}  \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"88\" width=\"355\" style=\"vertical-align: -39px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0644\u0630\u0644\u0643\u060c \u0628\u0625\u062c\u0631\u0627\u0621 \u0647\u0630\u0647 \u0627\u0644\u0639\u0645\u0644\u064a\u0629\u060c \u0646\u0646\u062a\u0647\u064a \u0628\u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u062a\u064a \u062a\u062d\u062a\u0648\u064a \u0639\u0644\u0649 0 \u0641\u064a \u0627\u0644\u0639\u0646\u0635\u0631 \u0627\u0644\u0623\u062e\u064a\u0631 \u0645\u0646 \u0627\u0644\u0639\u0645\u0648\u062f \u0627\u0644\u062b\u0627\u0646\u064a:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-fcc790f05d73d308cb7d992841ab031a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left(  \\begin{array}{ccc|ccc} 1 &amp; 0 &amp; 1 &amp; 1 &amp; 0 &amp; 0 \\\\[2ex] 0 &amp; 1 &amp; \\sfrac{1}{2} &amp; 0 &amp; \\sfrac{1}{2} &amp; 0  \\\\[2ex] 0 &amp; 5 &amp; 3 &amp; -1 &amp; 0 &amp; 1  \\end{array} \\right) \\begin{array}{c}   \\\\[2ex] \\\\[2ex] \\xrightarrow{f_3 - 5f_2} \\end{array}  \\left(  \\begin{array}{ccc|ccc} 1 &amp; 0 &amp; 1 &amp; 1 &amp; 0 &amp; 0 \\\\[2ex] 0 &amp; 1 &amp; \\sfrac{1}{2} &amp; 0 &amp; \\sfrac{1}{2} &amp; 0  \\\\[2ex]  0 &amp; \\color{blue}\\boxed{\\color{black}0} &amp;  \\sfrac{1}{2}  &amp; -1 &amp; \\sfrac{-5}{2}  &amp; 1  \\end{array} \\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"100\" width=\"590\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0648\u0623\u062e\u064a\u0631\u0627\u060c \u0633\u0646\u0642\u0648\u0645 \u0628\u062a\u062d\u0648\u064a\u0644 \u0627\u0644\u0639\u0645\u0648\u062f \u0627\u0644\u0623\u062e\u064a\u0631 \u0645\u0646 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u0625\u0644\u0649 \u0627\u0644\u064a\u0633\u0627\u0631\u060c \u0648\u0644\u0643\u0646 \u0647\u0630\u0647 \u0627\u0644\u0645\u0631\u0629 \u064a\u062c\u0628 \u0623\u0646 \u0646\u0628\u062f\u0623 \u0645\u0646 \u0627\u0644\u0623\u0633\u0641\u0644. \u0648\u0644\u0630\u0644\u0643 \u0641\u0645\u0646 \u0627\u0644\u0636\u0631\u0648\u0631\u064a \u062a\u062d\u0648\u064a\u0644<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-8b05f3ca9cc1227bdfe634ccc9f60935_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\sfrac{1}{2}\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"16\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0625\u0644\u0649 1. \u0644\u0630\u0644\u0643\u060c <strong>\u0646\u0636\u0631\u0628 \u0627\u0644\u0633\u0637\u0631 \u0627\u0644\u0623\u062e\u064a\u0631 \u0641\u064a 2:<\/strong><\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-69614cae4dd388b6454ffd9b8d63c9a5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left(  \\begin{array}{ccc|ccc} 1 &amp; 0 &amp; 1 &amp; 1 &amp; 0 &amp; 0 \\\\[2ex] 0 &amp; 1 &amp; \\sfrac{1}{2} &amp; 0 &amp; \\sfrac{1}{2} &amp; 0  \\\\[2ex]  0 &amp; 0 &amp;  \\sfrac{1}{2}  &amp; -1 &amp; \\sfrac{-5}{2}  &amp; 1  \\end{array} \\right)\\begin{array}{c}   \\\\[2ex] \\\\[2ex] \\xrightarrow{2f_3} \\end{array}  \\left(  \\begin{array}{ccc|ccc} 1 &amp; 0 &amp; 1 &amp; 1 &amp; 0 &amp; 0 \\\\[2ex] 0 &amp; 1 &amp; \\sfrac{1}{2} &amp; 0 &amp; \\sfrac{1}{2} &amp; 0  \\\\[2ex]  0 &amp; 0 &amp;  \\color{blue}\\boxed{\\color{black}1}  &amp; -2 &amp; -5  &amp; 2  \\end{array} \\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"100\" width=\"562\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u064a\u062c\u0628 \u0639\u0644\u064a\u0646\u0627 \u0627\u0644\u0622\u0646 \u062a\u062d\u0648\u064a\u0644<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-8b05f3ca9cc1227bdfe634ccc9f60935_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\sfrac{1}{2}\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"16\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0628\u0627\u0642\u064a \u0627\u0644\u0639\u0645\u0648\u062f \u0627\u0644\u0623\u062e\u064a\u0631 \u0647\u0648 0. \u0648\u0645\u0639 \u0630\u0644\u0643\u060c \u0647\u0630\u0647 \u0627\u0644\u0645\u0631\u0629 \u0644\u0627 \u064a\u0645\u0643\u0646\u0646\u0627 \u0636\u0631\u0628 \u0627\u0644\u0635\u0641 \u0628\u0640 2\u060c \u0644\u0623\u0646\u0646\u0627 \u0633\u0646\u0642\u0648\u0645 \u0623\u064a\u0636\u064b\u0627 \u0628\u062a\u062d\u0648\u064a\u0644 1 \u0625\u0644\u0649 2 (\u0639\u0646\u062f\u0645\u0627 \u062a\u062d\u062a\u0648\u064a \u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u0647\u0648\u064a\u0629 \u0639\u0644\u0649 1 \u0641\u064a \u0647\u0630\u0627 \u0627\u0644\u0645\u0648\u0636\u0639). \u0644\u0630\u0644\u0643\u060c <strong>\u0633\u0646\u0636\u064a\u0641 \u0627\u0644\u0633\u0637\u0631 3 \u0645\u0642\u0633\u0648\u0645\u064b\u0627 \u0639\u0644\u0649 -2 \u0625\u0644\u0649 \u0627\u0644\u0633\u0637\u0631 2:<\/strong><\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-881f9ea3ce2e52ddf332a13aba43bbcf_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{lrrr|rcr}  &amp; 0 &amp; 1 &amp;  \\vphantom{\\Bigl(} \\sfrac{1}{2} &amp; 0 &amp; \\sfrac{1}{2} &amp; 0  \\\\ + &amp; 0 &amp; 0 &amp;\\vphantom{\\Bigl(} -\\sfrac{1}{2}  &amp; 1 &amp; \\sfrac{5}{2}  &amp; -1  \\\\ \\hline &amp; 0 &amp; 1 &amp; 0\\phantom{0}  &amp; 1 &amp; 3 \\vphantom{\\Bigl(} &amp; -1  \\end{array} \\begin{array}{l}\\vphantom{\\Bigl(} \\color{blue}\\bm{\\leftarrow f_2} \\\\ \\color{blue}\\bm{\\leftarrow f_3\/(-2)}\\vphantom{\\Bigl(} \\\\ \\phantom{hline} \\vphantom{\\Bigl(}  \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"97\" width=\"357\" style=\"vertical-align: -44px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0648\u0645\u0646 \u062e\u0644\u0627\u0644 \u0627\u0644\u0642\u064a\u0627\u0645 \u0628\u0647\u0630\u0647 \u0627\u0644\u0639\u0645\u0644\u064a\u0629\u060c \u062a\u0645\u0643\u0646\u0627 \u0645\u0646 \u062a\u062d\u0648\u064a\u0644<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-8b05f3ca9cc1227bdfe634ccc9f60935_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\sfrac{1}{2}\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"16\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0641\u064a 0:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-537958a51f67c7602ef121fa2c997ca8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left(  \\begin{array}{ccc|ccc} 1 &amp; 0 &amp; 1 &amp; 1 &amp; 0 &amp; 0 \\\\[2ex] 0 &amp; 1 &amp; \\sfrac{1}{2} &amp; 0 &amp; \\sfrac{1}{2} &amp; 0  \\\\[2ex]  0 &amp; 0 &amp;  1  &amp; -2 &amp; -5  &amp; 2  \\end{array} \\right) \\begin{array}{c}   \\\\[2ex] \\xrightarrow{f_2-f_3\/2} \\\\[2ex] &amp; \\end{array}  \\left(  \\begin{array}{ccc|ccc} 1 &amp; 0 &amp; 1 &amp; 1 &amp; 0 &amp; 0 \\\\[2ex] 0 &amp; 1 &amp; \\color{blue}\\boxed{\\color{black}0} &amp; 1 &amp; 3  &amp; -1  \\\\[2ex]  0 &amp; 0 &amp;  1  &amp; -2 &amp; -5  &amp; 2  \\end{array} \\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"100\" width=\"598\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0623\u062e\u064a\u0631\u064b\u0627\u060c \u0646\u062d\u062a\u0627\u062c \u0641\u0642\u0637 \u0625\u0644\u0649 \u062a\u062d\u0648\u064a\u0644 1 \u0641\u064a \u0627\u0644\u0635\u0641 \u0627\u0644\u0623\u0648\u0644 \u0645\u0646 \u0627\u0644\u0639\u0645\u0648\u062f \u0627\u0644\u062b\u0627\u0644\u062b \u0625\u0644\u0649 0. \u064a\u062d\u062a\u0648\u064a \u0627\u0644\u0635\u0641 \u0627\u0644\u062b\u0627\u0644\u062b \u0623\u064a\u0636\u064b\u0627 \u0639\u0644\u0649 1 \u0641\u064a \u0646\u0641\u0633 \u0627\u0644\u0639\u0645\u0648\u062f\u060c <strong>\u0644\u0630\u0644\u0643 \u0633\u0646\u0636\u064a\u0641 \u0627\u0644\u0635\u0641 3 \u0645\u0636\u0631\u0648\u0628\u064b\u0627 \u0641\u064a -1 \u0625\u0644\u0649 \u0627\u0644\u0635\u0641 1:<\/strong><\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-8854a556147caefb16a2030e0e5e949a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{lrrr|rcr}  &amp; 1 &amp; 0 &amp; 1 &amp; 1 &amp; 0 &amp; 0 \\\\ + &amp; 0 &amp; 0 &amp;  -1  &amp; 2 &amp; 5  &amp; -2  \\\\ \\hline &amp; 1 &amp; 0 &amp; 0  &amp; 3 &amp; 5 &amp; -2  \\end{array} \\begin{array}{l}\\color{blue}\\bm{\\leftarrow f_1} \\\\ \\color{blue}\\bm{\\leftarrow -f_3}\\\\ \\phantom{hline}   \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"68\" width=\"300\" style=\"vertical-align: -29px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0648\u0645\u0646 \u062e\u0644\u0627\u0644 \u0627\u0644\u0642\u064a\u0627\u0645 \u0628\u0647\u0630\u0647 \u0627\u0644\u0639\u0645\u0644\u064a\u0629 \u0646\u062a\u0645\u0643\u0646 \u0645\u0646 \u062a\u062d\u0648\u064a\u0644 1 \u0625\u0644\u0649 0:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-8ddd39df6bc92258ba163c65de4fd59f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\ \\left(  \\begin{array}{ccc|ccc} 1 &amp; 0 &amp; 1 &amp; 1 &amp; 0 &amp; 0 \\\\[2ex] 0 &amp; 1 &amp;0 &amp; 1 &amp; 3  &amp; -1  \\\\[2ex]  0 &amp; 0 &amp;  1  &amp; -2 &amp; -5  &amp; 2  \\end{array} \\right) \\begin{array}{c} \\xrightarrow{f_1-f_3}  \\\\[2ex]  \\\\[2ex]  &amp; \\end{array}  \\left(  \\begin{array}{ccc|ccc} 1 &amp; 0 &amp; \\color{blue}\\boxed{\\color{black}0}  &amp; 3 &amp; 5 &amp; -2  \\\\[2ex] 0 &amp; 1 &amp; 0 &amp; 1 &amp; 3  &amp; -1  \\\\[2ex]  0 &amp; 0 &amp;  1  &amp; -2 &amp; -5  &amp; 2  \\end{array} \\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"99\" width=\"589\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0628\u0645\u062c\u0631\u062f \u0646\u062c\u0627\u062d\u0646\u0627 \u0641\u064a \u062a\u062d\u0648\u064a\u0644 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u064a\u0633\u0631\u0649 \u0625\u0644\u0649 \u0645\u0635\u0641\u0648\u0641\u0629 \u0647\u0648\u064a\u0629\u060c \u0641\u0625\u0646\u0646\u0627 \u0646\u0639\u0631\u0641 \u0623\u064a\u0636\u064b\u0627 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u0639\u0643\u0633\u064a\u0629. \u0644\u0623\u0646 <strong>\u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u0639\u0643\u0633\u064a\u0629 \u0647\u064a \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u062a\u064a \u0646\u062d\u0635\u0644 \u0639\u0644\u064a\u0647\u0627 \u0641\u064a \u0627\u0644\u062c\u0627\u0646\u0628 \u0627\u0644\u0623\u064a\u0645\u0646 \u0639\u0646 \u0637\u0631\u064a\u0642 \u062a\u062d\u0648\u064a\u0644 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u064a\u0633\u0631\u0649 \u0625\u0644\u0649 \u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u0647\u0648\u064a\u0629<\/strong> . \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a \u0641\u0625\u0646 \u0645\u0639\u0643\u0648\u0633 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u0647\u0648: <\/p>\n<div class=\"wp-block-image\" style=\";text-align:right;direction:rtl\">\n<figure class=\"aligncenter is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/exemple-de-matrice-inverse-32153.webp\" alt=\"\u0645\u062b\u0627\u0644 \u0639\u0644\u0649 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u0639\u0643\u0633\u064a\u0629 3x3\" width=\"251\" height=\"117\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<h3 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"> \u062d\u0644 \u0627\u0644\u062a\u0645\u0627\u0631\u064a\u0646 \u0639\u0644\u0649 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0627\u062a \u0627\u0644\u0639\u0643\u0633\u064a\u0629 \u0628\u0637\u0631\u064a\u0642\u0629 \u063a\u0627\u0648\u0633 <\/h3>\n<div class=\"adsb30\" style=\" margin:12px; text-align:center;text-align:right;direction:rtl\">\n<div id=\"ezoic-pub-ad-placeholder-118\" style=\";text-align:right;direction:rtl\"><\/div>\n<\/div>\n<h4 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"> \u0627\u0644\u062a\u0645\u0631\u064a\u0646 1<\/h4>\n<p style=\";text-align:right;direction:rtl\"> \u0627\u0642\u0644\u0628 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u062a\u0627\u0644\u064a\u0629 \u0628\u0637\u0631\u064a\u0642\u0629 \u063a\u0627\u0648\u0633: <\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-36886e1ab1007f9a53bdc0dd71a0d15b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A=\\begin{pmatrix} 1 &amp; 2 \\\\[1.1ex] 1 &amp; 3  \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"95\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E3F2FD boto_ver_solucion\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E3F2FD\" style=\"text-align:center;text-align:right;direction:rtl\">\n<div class=\"otfm-sp__title\" style=\";text-align:right;direction:rtl\"> <strong>\u0627\u0646\u0638\u0631 \u0627\u0644\u062d\u0644<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0623\u0648\u0644 \u0634\u064a\u0621 \u064a\u062a\u0639\u064a\u0646 \u0639\u0644\u064a\u0646\u0627 \u0627\u0644\u0642\u064a\u0627\u0645 \u0628\u0647 \u0647\u0648 \u062f\u0645\u062c \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 A \u0648\u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u0647\u0648\u064a\u0629 \u0641\u064a \u0645\u0635\u0641\u0648\u0641\u0629 \u0648\u0627\u062d\u062f\u0629. \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 A \u0639\u0644\u0649 \u0627\u0644\u064a\u0633\u0627\u0631 \u0648\u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u0647\u0648\u064a\u0629 \u0639\u0644\u0649 \u0627\u0644\u064a\u0645\u064a\u0646: <\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-3cbeb2e5edb9eaf9e47efc4cc74b1333_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\left( A \\ | \\ I \\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"51\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-image\" style=\";text-align:right;direction:rtl\">\n<figure class=\"aligncenter is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/exercice-resolu-matrice-de-gauss-inverse-22152.webp\" alt=\"\u062d\u0644 \u062a\u0645\u0631\u064a\u0646 \u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u0645\u0639\u0643\u0648\u0633\u0629 \u0628\u0637\u0631\u064a\u0642\u0629 2x2 \u063a\u0627\u0648\u0633\" width=\"143\" height=\"66\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0627\u0644\u0622\u0646\u060c \u0644\u062d\u0633\u0627\u0628 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u0639\u0643\u0633\u064a\u0629\u060c \u0646\u062d\u062a\u0627\u062c \u0625\u0644\u0649 \u062a\u062d\u0648\u064a\u0644 \u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u062c\u0627\u0646\u0628 \u0627\u0644\u0623\u064a\u0633\u0631 \u0625\u0644\u0649 \u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u0647\u0648\u064a\u0629. \u0648\u0644\u0644\u0642\u064a\u0627\u0645 \u0628\u0630\u0644\u0643\u060c \u0646\u062d\u062a\u0627\u062c \u0625\u0644\u0649 \u062a\u0637\u0628\u064a\u0642 \u0627\u0644\u062a\u062d\u0648\u064a\u0644\u0627\u062a \u0639\u0644\u0649 \u0627\u0644\u0635\u0641\u0648\u0641 \u062d\u062a\u0649 \u0646\u0635\u0644 \u0625\u0644\u0649 \u0647\u0646\u0627\u0643.<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0627\u0644\u062d\u062f \u0627\u0644\u0623\u0648\u0644 \u0645\u0646 \u0627\u0644\u0643\u0644\u060c 1\u060c \u0647\u0648 \u0628\u0627\u0644\u0641\u0639\u0644 \u0646\u0641\u0633 \u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u0647\u0648\u064a\u0629. \u0644\u0630\u0644\u0643\u060c \u0644\u064a\u0633\u062a \u0647\u0646\u0627\u0643 \u062d\u0627\u062c\u0629 \u0644\u062a\u0637\u0628\u064a\u0642 \u062a\u062d\u0648\u064a\u0644 \u0639\u0644\u0649 \u0627\u0644\u0635\u0641 \u0627\u0644\u0623\u0648\u0644 \u0641\u064a \u0647\u0630\u0627 \u0627\u0644\u0648\u0642\u062a.<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0648\u0645\u0639 \u0630\u0644\u0643\u060c \u0641\u0625\u0646 \u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u0647\u0648\u064a\u0629 \u062a\u062d\u062a\u0648\u064a \u0639\u0644\u0649 0 \u0641\u064a \u0627\u0644\u0639\u0646\u0635\u0631 \u0627\u0644\u0623\u062e\u064a\u0631 \u0645\u0646 \u0627\u0644\u0639\u0645\u0648\u062f \u0627\u0644\u0623\u0648\u0644\u060c \u062d\u064a\u062b \u0644\u062f\u064a\u0646\u0627 \u0627\u0644\u0622\u0646 1. \u0644\u0630\u0644\u0643 \u0646\u062d\u062a\u0627\u062c \u0625\u0644\u0649 \u062a\u062d\u0648\u064a\u0644 1 \u0625\u0644\u0649 0. \u0644\u0644\u0642\u064a\u0627\u0645 \u0628\u0630\u0644\u0643\u060c \u0646\u0637\u0631\u062d \u0627\u0644\u0635\u0641 1 \u0645\u0646 \u0627\u0644\u0635\u0641 2:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-247d8605795c43e79b5d7742854cfe6d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left( \\begin{array}{cc|cc}1 &amp; 2 &amp; 1 &amp; 0 \\\\[1.5ex] 1 &amp; 3 &amp; 0 &amp; 1\\end{array} \\right) \\begin{array}{c} \\\\[1.5ex] \\xrightarrow{f_2 - f_1}  \\end{array} \\left( \\begin{array}{cc|cc} 1 &amp; 2 &amp; 1 &amp; 0 \\\\[1.5ex] 0 &amp; 1 &amp; -1 &amp; 1\\end{array} \\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"56\" width=\"332\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0646\u0646\u062a\u0642\u0644 \u0625\u0644\u0649 \u0627\u0644\u0639\u0645\u0648\u062f \u0627\u0644\u062b\u0627\u0646\u064a: 1 \u0623\u062f\u0646\u0627\u0647 \u062c\u064a\u062f. \u0648\u0644\u0643\u0646 \u0644\u064a\u0633 \u0627\u0644\u0631\u0642\u0645 2 \u0623\u0639\u0644\u0627\u0647\u060c \u0646\u0638\u0631\u064b\u0627 \u0644\u0623\u0646 \u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u0647\u0648\u064a\u0629 \u062a\u062d\u062a\u0648\u064a \u0639\u0644\u0649 0 \u0641\u064a \u0647\u0630\u0627 \u0627\u0644\u0645\u0648\u0636\u0639. \u0644\u0630\u0644\u0643\u060c \u0644\u062a\u062d\u0648\u064a\u0644 2 \u0625\u0644\u0649 0\u060c \u0645\u0646 \u0627\u0644\u0633\u0637\u0631 1 \u0646\u0637\u0631\u062d \u0627\u0644\u0633\u0637\u0631 2 \u0645\u0636\u0631\u0648\u0628\u064b\u0627 \u0641\u064a 2:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-173a7bdb55ba058e5ae16d1fd8e91564_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left( \\begin{array}{cc|cc} 1 &amp; 2 &amp; 1 &amp; 0 \\\\[1.5ex] 0 &amp; 1 &amp; -1 &amp; 1 \\end{array} \\right) \\begin{array}{c}  \\xrightarrow{f_1 - 2f_2} \\\\[1.5ex] &amp; \\end{array} \\left( \\begin{array}{cc|cc} 1 &amp; 0 &amp; 3 &amp; -2 \\\\[1.5ex] 0 &amp; 1 &amp; -1 &amp; 1 \\end{array} \\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"57\" width=\"367\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u0639\u0643\u0633\u064a\u0629 \u0647\u064a \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u062a\u064a \u0646\u062d\u0635\u0644 \u0639\u0644\u064a\u0647\u0627 \u0639\u0644\u0649 \u0627\u0644\u062c\u0627\u0646\u0628 \u0627\u0644\u0623\u064a\u0645\u0646 \u0628\u0639\u062f \u062a\u062d\u0648\u064a\u0644 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u0645\u0648\u062c\u0648\u062f\u0629 \u0639\u0644\u0649 \u0627\u0644\u064a\u0633\u0627\u0631 \u0625\u0644\u0649 \u0645\u0635\u0641\u0648\u0641\u0629 \u0647\u0648\u064a\u0629. \u0648\u0627\u0644\u0622\u0646 \u062d\u0635\u0644\u0646\u0627 \u0639\u0644\u0649 \u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u0647\u0648\u064a\u0629 \u0639\u0644\u0649 \u0627\u0644\u062c\u0627\u0646\u0628 \u0627\u0644\u0623\u064a\u0633\u0631. \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a \u0641\u0625\u0646 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u0639\u0643\u0633\u064a\u0629 \u0647\u064a:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-98896d28465c9e1402e1c443375d93fe_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{A^{-1}= \\left(} \\begin{array}{cc}  \\bm{3} &amp; \\bm{-2} \\\\[1.5ex]  \\bm{-1} &amp; \\bm{1} \\end{array}\\bm{ \\right)}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"157\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\" style=\";text-align:right;direction:rtl\"><\/div>\n<h4 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\">\u062a\u0645\u0631\u064a\u0646 2<\/h4>\n<p style=\";text-align:right;direction:rtl\"> \u0627\u0642\u0644\u0628 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u062a\u0627\u0644\u064a\u0629 \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0627\u0644\u0625\u062c\u0631\u0627\u0621 \u0627\u0644\u063a\u0648\u0633\u064a: <\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-7ae5ba4a92a5ddc00ddf5b11775edafd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A=\\begin{pmatrix} 1 &amp; 1 &amp; -4 \\\\[1.1ex]  0 &amp; 3 &amp; 2 \\\\[1.1ex] 0 &amp; 1 &amp; 1  \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"85\" width=\"136\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E3F2FD boto_ver_solucion\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E3F2FD\" style=\"text-align:center;text-align:right;direction:rtl\">\n<div class=\"otfm-sp__title\" style=\";text-align:right;direction:rtl\"> <strong>\u0627\u0646\u0638\u0631 \u0627\u0644\u062d\u0644<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0623\u0648\u0644\u0627\u064b\u060c \u0646\u0642\u0648\u0645 \u0628\u0648\u0636\u0639 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 A \u0648\u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u0647\u0648\u064a\u0629 \u0641\u064a \u0645\u0635\u0641\u0648\u0641\u0629 \u0648\u0627\u062d\u062f\u0629: <\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-3cbeb2e5edb9eaf9e47efc4cc74b1333_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\left( A \\ | \\ I \\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"51\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-81db2ef94d2db597cebb4c0c77685526_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left( \\begin{array}{ccc|ccc} 1 &amp; 1 &amp; -4 &amp; 1 &amp; 0 &amp; 0 \\\\[2ex]  0 &amp; 3 &amp; 2 &amp; 0 &amp; 1 &amp; 0 \\\\[2ex] 0 &amp; 1 &amp; 1 &amp; 0 &amp; 0 &amp; 1 \\end{array} \\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"97\" width=\"186\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0646\u062d\u062a\u0627\u062c \u0627\u0644\u0622\u0646 \u0625\u0644\u0649 \u062a\u062d\u0648\u064a\u0644 \u0627\u0644\u0635\u0641\u0648\u0641 \u062d\u062a\u0649 \u0646\u062d\u0648\u0644 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u064a\u0633\u0631\u0649 \u0625\u0644\u0649 \u0645\u0635\u0641\u0648\u0641\u0629 \u0647\u0648\u064a\u0629.<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0627\u0644\u0639\u0645\u0648\u062f \u0627\u0644\u0623\u0648\u0644 \u0645\u0646 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u064a\u0633\u0631\u0649 \u0647\u0648 \u0628\u0627\u0644\u0641\u0639\u0644 \u0646\u0641\u0633 \u0627\u0644\u0639\u0645\u0648\u062f \u0627\u0644\u0623\u0648\u0644 \u0645\u0646 \u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u0647\u0648\u064a\u0629. \u0648\u0644\u0630\u0644\u0643 \u0644\u064a\u0633 \u0645\u0646 \u0627\u0644\u0636\u0631\u0648\u0631\u064a \u062a\u0639\u062f\u064a\u0644 \u0623\u064a \u0645\u0646 \u0623\u0631\u0642\u0627\u0645\u0647.<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0648\u0645\u0639 \u0630\u0644\u0643\u060c \u0641\u0625\u0646 \u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u0647\u0648\u064a\u0629 \u0644\u062f\u064a\u0647\u0627 1 \u0641\u064a \u0627\u0644\u0639\u0646\u0635\u0631 \u0627\u0644\u062b\u0627\u0646\u064a \u0645\u0646 \u0627\u0644\u0639\u0645\u0648\u062f \u0627\u0644\u062b\u0627\u0646\u064a\u060c \u062d\u064a\u062b \u064a\u0648\u062c\u062f \u0627\u0644\u0622\u0646 3. \u0644\u0630\u0644\u0643 \u064a\u062c\u0628 \u0639\u0644\u064a\u0646\u0627 \u062a\u062d\u0648\u064a\u0644 3 \u0625\u0644\u0649 1. \u0644\u0644\u0642\u064a\u0627\u0645 \u0628\u0630\u0644\u0643\u060c \u0645\u0646 \u0627\u0644\u0633\u0637\u0631 2 \u0646\u0637\u0631\u062d \u0627\u0644\u0633\u0637\u0631 3 \u0645\u0636\u0631\u0648\u0628\u064b\u0627 \u0641\u064a 2:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-bfd7cb4d4b81a75038807eb28393a83e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left( \\begin{array}{ccc|ccc} 1 &amp; 1 &amp; -4 &amp; 1 &amp; 0 &amp; 0 \\\\[2ex]  0 &amp; 3 &amp; 2 &amp; 0 &amp; 1 &amp; 0 \\\\[2ex] 0 &amp; 1 &amp; 1 &amp; 0 &amp; 0 &amp; 1 \\end{array} \\right) \\begin{array}{c} \\\\[2ex] \\xrightarrow{f_2 - 2f_3} \\\\[2ex] &amp;  \\end{array} \\left( \\begin{array}{ccc|ccc} 1 &amp; 1 &amp; 4 &amp; 1 &amp; 0 &amp; 0 \\\\[2ex]  0 &amp; 1 &amp; 0 &amp; 0 &amp; 1 &amp; -2 \\\\[2ex] 0 &amp; 1 &amp; 1 &amp; 0 &amp; 0 &amp; 1 \\end{array} \\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"98\" width=\"458\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u062a\u062d\u062a\u0648\u064a \u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u0647\u0648\u064a\u0629 \u0639\u0644\u0649 0 \u0641\u064a \u0627\u0644\u0639\u0646\u0635\u0631 \u0627\u0644\u0623\u062e\u064a\u0631 \u0645\u0646 \u0627\u0644\u0639\u0645\u0648\u062f \u0627\u0644\u062b\u0627\u0646\u064a\u060c \u062d\u064a\u062b \u064a\u0648\u062c\u062f \u0627\u0644\u0622\u0646 1. \u0644\u0630\u0644\u0643 \u064a\u062c\u0628 \u0639\u0644\u064a\u0646\u0627 \u062a\u062d\u0648\u064a\u0644 1 \u0625\u0644\u0649 0. \u0644\u0644\u0642\u064a\u0627\u0645 \u0628\u0630\u0644\u0643\u060c \u0646\u0637\u0631\u062d \u0627\u0644\u0633\u0637\u0631 2 \u0645\u0646 \u0627\u0644\u0633\u0637\u0631 3:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-932479e2f574c19ad7906d3d20e52ad0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left( \\begin{array}{ccc|ccc} 1 &amp; 1 &amp; -4 &amp; 1 &amp; 0 &amp; 0 \\\\[2ex]  0 &amp; 1 &amp; 0 &amp; 0 &amp; 1 &amp; -2 \\\\[2ex] 0 &amp; 1 &amp; 1 &amp; 0 &amp; 0 &amp; 1 \\end{array} \\right) \\begin{array}{c} \\\\[2ex]  \\\\[2ex] \\xrightarrow{f_3 - f_2} \\end{array} \\left( \\begin{array}{ccc|ccc} 1 &amp; 1 &amp; -4 &amp; 1 &amp; 0 &amp; 0 \\\\[2ex]  0 &amp; 1 &amp; 0 &amp; 0 &amp; 1 &amp; -2 \\\\[2ex] 0 &amp; 0 &amp; 1 &amp; 0 &amp; -1 &amp; 3 \\end{array} \\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"98\" width=\"492\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u062a\u062d\u062a\u0648\u064a \u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u0647\u0648\u064a\u0629 \u0639\u0644\u0649 0 \u0641\u064a \u0627\u0644\u0639\u0646\u0635\u0631 \u0627\u0644\u0623\u0648\u0644 \u0645\u0646 \u0627\u0644\u0639\u0645\u0648\u062f \u0627\u0644\u062b\u0627\u0646\u064a\u060c \u062d\u064a\u062b \u064a\u0648\u062c\u062f \u0627\u0644\u0622\u0646 1. \u0644\u0630\u0644\u0643 \u064a\u062c\u0628 \u0639\u0644\u064a\u0646\u0627 \u062a\u062d\u0648\u064a\u0644 1 \u0625\u0644\u0649 0. \u0644\u0644\u0642\u064a\u0627\u0645 \u0628\u0630\u0644\u0643\u060c \u0646\u0637\u0631\u062d \u0627\u0644\u0633\u0637\u0631 2 \u0645\u0646 \u0627\u0644\u0633\u0637\u0631 1:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-566e1453aab03f9792cb281e4c88a68c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left( \\begin{array}{ccc|ccc} 1 &amp; 1 &amp; -4 &amp; 1 &amp; 0 &amp; 0 \\\\[2ex]  0 &amp; 1 &amp; 0 &amp; 0 &amp; 1 &amp; -2 \\\\[2ex] 0 &amp; 0 &amp; 1 &amp; 0 &amp; -1 &amp; 3 \\end{array} \\right) \\begin{array}{c} \\xrightarrow{f_1 - f_2} \\\\[2ex]  \\\\[2ex] &amp;  \\end{array} \\left( \\begin{array}{ccc|ccc}1 &amp; 0 &amp; -4 &amp; 1 &amp; -1 &amp; 2 \\\\[2ex]  0 &amp; 1 &amp; 0 &amp; 0 &amp; 1 &amp; -2 \\\\[2ex] 0 &amp; 0 &amp; 1 &amp; 0 &amp; -1 &amp; 3 \\end{array} \\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"98\" width=\"506\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0643\u0644 \u0645\u0627 \u0639\u0644\u064a\u0646\u0627 \u0641\u0639\u0644\u0647 \u0627\u0644\u0622\u0646 \u0647\u0648 \u062a\u062d\u0648\u064a\u0644 -4 \u0625\u0644\u0649 0. \u0648\u0644\u0644\u0642\u064a\u0627\u0645 \u0628\u0630\u0644\u0643\u060c \u0646\u0636\u064a\u0641 \u0627\u0644\u0633\u0637\u0631 3 \u0645\u0636\u0631\u0648\u0628\u064b\u0627 \u0641\u064a 4 \u0625\u0644\u0649 \u0627\u0644\u0633\u0637\u0631 1:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-6f98a9cabeb101602dd11aa73516b998_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left( \\begin{array}{ccc|ccc} 1 &amp; 0 &amp; -4 &amp; 1 &amp; -1 &amp; 2 \\\\[2ex]  0 &amp; 1 &amp; 0 &amp; 0 &amp; 1 &amp; -2 \\\\[2ex] 0 &amp; 0 &amp; 1 &amp; 0 &amp; -1 &amp; 3\\end{array} \\right) \\begin{array}{c} \\xrightarrow{f_1 + 4f_3} \\\\[2ex]  \\\\[2ex] &amp;  \\end{array} \\left( \\begin{array}{ccc|ccc}1 &amp; 0 &amp; 0 &amp; 1 &amp; -5 &amp; 14 \\\\[2ex]  0 &amp; 1 &amp; 0 &amp; 0 &amp; 1 &amp; -2 \\\\[2ex] 0 &amp; 0 &amp; 1 &amp; 0 &amp; -1 &amp; 3 \\end{array} \\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"98\" width=\"499\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0644\u0642\u062f \u062d\u0635\u0644\u0646\u0627 \u0628\u0627\u0644\u0641\u0639\u0644 \u0639\u0644\u0649 \u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u0647\u0648\u064a\u0629 \u0645\u0646 \u0627\u0644\u062c\u0627\u0646\u0628 \u0627\u0644\u0623\u064a\u0633\u0631. \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a \u0641\u0625\u0646 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u0639\u0643\u0633\u064a\u0629 \u0647\u064a:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-e43ce6a7061f0339bd5d44b83afec07f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{A^{-1}= \\left( } \\begin{array}{ccc}  \\bm{1} &amp; \\bm{-5}  &amp; \\bm{14} \\\\[2ex]  \\bm{0} &amp; \\bm{1} &amp; \\bm{-2} \\\\[2ex] \\bm{0} &amp; \\bm{-1 }&amp; \\bm{3} \\end{array} \\bm{ \\right)}\" title=\"Rendered by QuickLaTeX.com\" height=\"96\" width=\"185\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\" style=\";text-align:right;direction:rtl\"><\/div>\n<h4 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\">\u0627\u0644\u062a\u0645\u0631\u064a\u0646 3<\/h4>\n<p style=\";text-align:right;direction:rtl\"> \u0627\u0642\u0644\u0628 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u062a\u0627\u0644\u064a\u0629 \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0627\u0644\u0637\u0631\u064a\u0642\u0629 \u0627\u0644\u063a\u0648\u0633\u064a\u0629: <\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f02b0186690e68baaa9a630db2c870db_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A=\\begin{pmatrix} 1 &amp; 2 &amp; 1 \\\\[1.1ex]  0 &amp; 1 &amp; 0 \\\\[1.1ex] 2 &amp; 0 &amp; 3 \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"85\" width=\"122\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E3F2FD boto_ver_solucion\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E3F2FD\" style=\"text-align:center;text-align:right;direction:rtl\">\n<div class=\"otfm-sp__title\" style=\";text-align:right;direction:rtl\"> <strong>\u0627\u0646\u0638\u0631 \u0627\u0644\u062d\u0644<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0642\u0628\u0644 \u0623\u0646 \u0646\u0628\u062f\u0623 \u0627\u0644\u0639\u0645\u0644\u060c \u0646\u062d\u062a\u0627\u062c \u0625\u0644\u0649 \u0648\u0636\u0639 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 A \u0648\u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u0647\u0648\u064a\u0629 \u0641\u064a \u0645\u0635\u0641\u0648\u0641\u0629 \u0648\u0627\u062d\u062f\u0629: <\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-3cbeb2e5edb9eaf9e47efc4cc74b1333_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\left( A \\ | \\ I \\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"51\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-aa6dc5af82076e22b1d0cf7ea16d748b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left( \\begin{array}{ccc|ccc} 1 &amp; 2 &amp; 1 &amp; 1 &amp; 0 &amp; 0 \\\\[2ex]  0 &amp; 1 &amp; 0 &amp; 0 &amp; 1 &amp; 0 \\\\[2ex] 2 &amp; 0 &amp; 3 &amp; 0 &amp; 0 &amp; 1 \\end{array} \\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"97\" width=\"172\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u064a\u062c\u0628 \u0639\u0644\u064a\u0646\u0627 \u0627\u0644\u0622\u0646 \u062a\u062d\u0648\u064a\u0644 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u064a\u0633\u0631\u0649 \u0625\u0644\u0649 \u0645\u0635\u0641\u0648\u0641\u0629 \u0647\u0648\u064a\u0629 \u0645\u0646 \u062e\u0644\u0627\u0644 \u0627\u0644\u0639\u0645\u0644 \u0639\u0644\u0649 \u0627\u0644\u0635\u0641\u0648\u0641.<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0627\u0644\u0639\u0646\u0635\u0631\u0627\u0646 \u0627\u0644\u0623\u0648\u0644\u0627\u0646 \u0645\u0646 \u0627\u0644\u0639\u0645\u0648\u062f \u0627\u0644\u0623\u0648\u0644 \u0647\u0645\u0627 \u0628\u0627\u0644\u0641\u0639\u0644 \u0646\u0641\u0633 \u0627\u0644\u0639\u0646\u0627\u0635\u0631 \u0627\u0644\u0645\u0648\u062c\u0648\u062f\u0629 \u0641\u064a \u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u0647\u0648\u064a\u0629. \u0648\u0644\u0630\u0644\u0643 \u0644\u064a\u0633 \u0645\u0646 \u0627\u0644\u0636\u0631\u0648\u0631\u064a \u062a\u0639\u062f\u064a\u0644 \u0647\u0630\u0647 \u0627\u0644\u0623\u0631\u0642\u0627\u0645.<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0644\u0643\u0646 \u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u0647\u0648\u064a\u0629 \u0644\u062f\u064a\u0647\u0627 0 \u0641\u064a \u0627\u0644\u0639\u0646\u0635\u0631 \u0627\u0644\u062b\u0627\u0644\u062b \u0645\u0646 \u0627\u0644\u0639\u0645\u0648\u062f \u0627\u0644\u0623\u0648\u0644\u060c \u062d\u064a\u062b \u064a\u0648\u062c\u062f \u0627\u0644\u0622\u0646 2. \u0644\u0630\u0644\u0643 \u064a\u062c\u0628 \u0639\u0644\u064a\u0646\u0627 \u062a\u062d\u0648\u064a\u0644 2 \u0625\u0644\u0649 0. \u0644\u0644\u0642\u064a\u0627\u0645 \u0628\u0630\u0644\u0643\u060c \u0645\u0646 \u0627\u0644\u0633\u0637\u0631 3 \u0646\u0637\u0631\u062d \u0627\u0644\u0633\u0637\u0631 1 \u0645\u0636\u0631\u0648\u0628\u064b\u0627 \u0641\u064a 2:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-680a314b8cc900e01886291af12145e4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left( \\begin{array}{ccc|ccc}1 &amp; 2 &amp; 1 &amp; 1 &amp; 0 &amp; 0 \\\\[2ex]  0 &amp; 1 &amp; 0 &amp; 0 &amp; 1 &amp; 0 \\\\[2ex] 2 &amp; 0 &amp; 3 &amp; 0 &amp; 0 &amp; 1 \\end{array} \\right) \\begin{array}{c} \\\\[2ex] \\\\[2ex] \\xrightarrow{f_3 - 2f_1}   \\end{array} \\left( \\begin{array}{ccc|ccc} 1 &amp; 2 &amp; 1 &amp; 1 &amp; 0 &amp; 0 \\\\[2ex]  0 &amp; 1 &amp; 0 &amp; 0 &amp; 1 &amp; 0 \\\\[2ex] 0 &amp; -4 &amp; 1 &amp; -2 &amp; 0 &amp; 1 \\end{array} \\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"98\" width=\"458\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u062a\u062d\u062a\u0648\u064a \u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u0647\u0648\u064a\u0629 \u0639\u0644\u0649 0 \u0641\u064a \u0627\u0644\u0639\u0646\u0635\u0631 \u0627\u0644\u0623\u0648\u0644 \u0645\u0646 \u0627\u0644\u0639\u0645\u0648\u062f \u0627\u0644\u062b\u0627\u0646\u064a\u060c \u062d\u064a\u062b \u064a\u0648\u062c\u062f \u0627\u0644\u0622\u0646 2. \u0644\u0630\u0644\u0643 \u064a\u062c\u0628 \u0639\u0644\u064a\u0646\u0627 \u062a\u062d\u0648\u064a\u0644 2 \u0625\u0644\u0649 0. \u0644\u0644\u0642\u064a\u0627\u0645 \u0628\u0630\u0644\u0643\u060c \u0645\u0646 \u0627\u0644\u0633\u0637\u0631 1 \u0646\u0637\u0631\u062d \u0627\u0644\u0633\u0637\u0631 2 \u0645\u0636\u0631\u0648\u0628\u064b\u0627 \u0641\u064a 2:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f87cbc594287f7ea4938091878562b4c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left( \\begin{array}{ccc|ccc} 1 &amp; 2 &amp; 1 &amp; 1 &amp; 0 &amp; 0 \\\\[2ex]  0 &amp; 1 &amp; 0 &amp; 0 &amp; 1 &amp; 0 \\\\[2ex] 0 &amp; -4 &amp; 1 &amp; -2 &amp; 0 &amp; 1 \\end{array} \\right) \\begin{array}{c} \\xrightarrow{f_1 -2f_2} \\\\[2ex]  \\\\[2ex] &amp; \\end{array} \\left( \\begin{array}{ccc|ccc} 1 &amp; 0 &amp; 1 &amp; 1 &amp; -2 &amp; 0\\\\[2ex]  0 &amp; 1 &amp; 0 &amp; 0 &amp; 1 &amp; 0 \\\\[2ex] 0 &amp; -4 &amp; 1 &amp; -2 &amp; 0 &amp; 1 \\end{array} \\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"98\" width=\"499\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u062a\u062d\u062a\u0648\u064a \u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u0647\u0648\u064a\u0629 \u0639\u0644\u0649 0 \u0641\u064a \u0627\u0644\u0639\u0646\u0635\u0631 \u0627\u0644\u0623\u062e\u064a\u0631 \u0645\u0646 \u0627\u0644\u0639\u0645\u0648\u062f \u0627\u0644\u062b\u0627\u0646\u064a\u060c \u062d\u064a\u062b \u064a\u0648\u062c\u062f \u0627\u0644\u0622\u0646 -4. \u0644\u0630\u0644\u0643 \u064a\u062c\u0628 \u0639\u0644\u064a\u0646\u0627 \u062a\u062d\u0648\u064a\u0644 -4 \u0625\u0644\u0649 0. \u0644\u0644\u0642\u064a\u0627\u0645 \u0628\u0630\u0644\u0643\u060c \u0646\u0636\u064a\u0641 \u0627\u0644\u0633\u0637\u0631 2 \u0645\u0636\u0631\u0648\u0628\u064b\u0627 \u0641\u064a 4 \u0625\u0644\u0649 \u0627\u0644\u0633\u0637\u0631 3:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-b8cf2c3878d2d35656953a55bb3baf94_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left( \\begin{array}{ccc|ccc} 1 &amp; 0 &amp; 1 &amp; 1 &amp; -2 &amp; 0\\\\[2ex]  0 &amp; 1 &amp; 0 &amp; 0 &amp; 1 &amp; 0 \\\\[2ex] 0 &amp; -4 &amp; 1 &amp; -2 &amp; 0 &amp; 1 \\end{array} \\right) \\begin{array}{c} \\\\[2ex]  \\\\[2ex] \\xrightarrow{f_3 +4f_2} \\end{array} \\left( \\begin{array}{ccc|ccc} 1 &amp; 0 &amp; 1 &amp; 1 &amp; -2 &amp; 0\\\\[2ex]  0 &amp; 1 &amp; 0 &amp; 0 &amp; 1 &amp; 0 \\\\[2ex] 0 &amp; 0 &amp; 1 &amp; -2 &amp; 4 &amp; 1 \\end{array} \\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"98\" width=\"499\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0643\u0644 \u0645\u0627 \u0639\u0644\u064a\u0646\u0627 \u0641\u0639\u0644\u0647 \u0627\u0644\u0622\u0646 \u0647\u0648 \u062a\u062d\u0648\u064a\u0644 \u0627\u0644\u0639\u0646\u0635\u0631 \u0627\u0644\u0623\u0648\u0644 \u0645\u0646 \u0627\u0644\u0639\u0645\u0648\u062f \u0627\u0644\u062b\u0627\u0644\u062b \u0625\u0644\u0649 0. \u0644\u0644\u0642\u064a\u0627\u0645 \u0628\u0630\u0644\u0643\u060c \u0646\u0636\u064a\u0641 \u0627\u0644\u0633\u0637\u0631 3 \u0645\u0636\u0631\u0648\u0628\u064b\u0627 \u0641\u064a -1 \u0625\u0644\u0649 \u0627\u0644\u0633\u0637\u0631 1:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-aac851b05c2dc25af3d7b9ecc622c9f6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left( \\begin{array}{ccc|ccc}1 &amp; 0 &amp; 1 &amp; 1 &amp; -2 &amp; 0\\\\[2ex]  0 &amp; 1 &amp; 0 &amp; 0 &amp; 1 &amp; 0 \\\\[2ex] 0 &amp; 0 &amp; 1 &amp; -2 &amp; 4 &amp; 1 \\end{array} \\right) \\begin{array}{c} \\xrightarrow{f_1 - f_3} \\\\[2ex]  \\\\[2ex] &amp;  \\end{array} \\left( \\begin{array}{ccc|ccc}1 &amp; 0 &amp; 0 &amp; 3 &amp; -6  &amp; -1\\\\[2ex]  0 &amp; 1 &amp; 0 &amp; 0 &amp; 1 &amp; 0 \\\\[2ex] 0 &amp; 0 &amp; 1 &amp; -2 &amp; 4 &amp; 1 \\end{array} \\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"98\" width=\"492\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0644\u0642\u062f \u0623\u062f\u0631\u0643\u0646\u0627 \u0628\u0627\u0644\u0641\u0639\u0644 \u0623\u0646 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u0645\u0648\u062c\u0648\u062f\u0629 \u0639\u0644\u0649 \u0627\u0644\u064a\u0633\u0627\u0631 \u0647\u064a \u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u0648\u062d\u062f\u0629. \u0625\u0630\u0646 \u0645\u0639\u0643\u0648\u0633 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-25b206f25506e6d6f46be832f7119ffa_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"A\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"13\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0634\u0631\u0642:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-161fbe4a4d4dcc4fc503b6e3a9e0bfeb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{A^{-1}= \\left( } \\begin{array}{ccc}  \\bm{3} &amp; \\bm{-6}  &amp; \\bm{-1} \\\\[2ex]  \\bm{0} &amp; \\bm{1} &amp; \\bm{0} \\\\[2ex] \\bm{-2} &amp; \\bm{4}&amp; \\bm{1} \\end{array} \\bm{ \\right)}\" title=\"Rendered by QuickLaTeX.com\" height=\"96\" width=\"198\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\" style=\";text-align:right;direction:rtl\"><\/div>\n<h4 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\">\u0627\u0644\u062a\u0645\u0631\u064a\u0646 4<\/h4>\n<p style=\";text-align:right;direction:rtl\"> \u0627\u0642\u0644\u0628 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u062a\u0627\u0644\u064a\u0629 \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0627\u0644\u0637\u0631\u064a\u0642\u0629 \u0627\u0644\u063a\u0648\u0633\u064a\u0629: <\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-47ad7ccd6aafab72255c96f2bc9148a2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A=\\begin{pmatrix} 1 &amp; -2 &amp; 0 \\\\[1.1ex]  1 &amp; 2 &amp; 2 \\\\[1.1ex] 0 &amp; 3 &amp; 2 \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"85\" width=\"136\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E3F2FD boto_ver_solucion\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E3F2FD\" style=\"text-align:center;text-align:right;direction:rtl\">\n<div class=\"otfm-sp__title\" style=\";text-align:right;direction:rtl\"> <strong>\u0627\u0646\u0638\u0631 \u0627\u0644\u062d\u0644<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0623\u0648\u0644 \u0634\u064a\u0621 \u064a\u062a\u0639\u064a\u0646 \u0639\u0644\u064a\u0646\u0627 \u0627\u0644\u0642\u064a\u0627\u0645 \u0628\u0647 \u0647\u0648 \u0636\u0645 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 A \u0648\u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u0647\u0648\u064a\u0629 \u0641\u064a \u0645\u0635\u0641\u0648\u0641\u0629 \u0648\u0627\u062d\u062f\u0629: <\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-3cbeb2e5edb9eaf9e47efc4cc74b1333_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\left( A \\ | \\ I \\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"51\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a832ceb9f09dfa88238c570b46b74d92_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left( \\begin{array}{ccc|ccc}1 &amp; -2 &amp; 0 &amp; 1 &amp; 0 &amp; 0 \\\\[2ex] 1 &amp; 2 &amp; 2 &amp; 0 &amp; 1 &amp; 0 \\\\[2ex] 0 &amp; 3 &amp; 2 &amp; 0 &amp; 0 &amp; 1 \\end{array} \\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"97\" width=\"186\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u064a\u062c\u0628 \u0639\u0644\u064a\u0646\u0627 \u0627\u0644\u0622\u0646 \u062a\u062d\u0648\u064a\u0644 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u0645\u0648\u062c\u0648\u062f\u0629 \u0639\u0644\u0649 \u0627\u0644\u062c\u0627\u0646\u0628 \u0627\u0644\u0623\u064a\u0633\u0631 \u0625\u0644\u0649 \u0645\u0635\u0641\u0648\u0641\u0629 \u0647\u0648\u064a\u0629 \u0645\u0646 \u062e\u0644\u0627\u0644 \u062a\u0637\u0628\u064a\u0642 \u0639\u0645\u0644\u064a\u0627\u062a \u0627\u0644\u0635\u0641.<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0627\u0644\u0639\u0646\u0635\u0631 \u0627\u0644\u0623\u0648\u0644 \u0641\u064a \u0627\u0644\u0639\u0645\u0648\u062f \u0627\u0644\u0623\u0648\u0644 \u0647\u0648 \u0628\u0627\u0644\u0641\u0639\u0644 \u0646\u0641\u0633 \u0639\u0646\u0635\u0631 \u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u0647\u0648\u064a\u0629. \u0648\u0644\u0630\u0644\u0643 \u0644\u064a\u0633 \u0645\u0646 \u0627\u0644\u0636\u0631\u0648\u0631\u064a \u062a\u063a\u064a\u064a\u0631\u0647.<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0648\u0645\u0639 \u0630\u0644\u0643\u060c \u0641\u0625\u0646 \u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u0647\u0648\u064a\u0629 \u0644\u062f\u064a\u0647\u0627 0 \u0641\u064a \u0627\u0644\u0639\u0646\u0635\u0631 \u0627\u0644\u062b\u0627\u0646\u064a \u0645\u0646 \u0627\u0644\u0639\u0645\u0648\u062f \u0627\u0644\u0623\u0648\u0644\u060c \u062d\u064a\u062b \u064a\u0648\u062c\u062f \u0627\u0644\u0622\u0646 1. \u0644\u0630\u0644\u0643 \u064a\u062c\u0628 \u0639\u0644\u064a\u0646\u0627 \u062a\u062d\u0648\u064a\u0644 1 \u0625\u0644\u0649 0. \u0644\u0644\u0642\u064a\u0627\u0645 \u0628\u0630\u0644\u0643\u060c \u0646\u0637\u0631\u062d \u0627\u0644\u0633\u0637\u0631 1 \u0645\u0646 \u0627\u0644\u0633\u0637\u0631 2:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-83933b5a2315a4dcbc770bf92bf3831b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left( \\begin{array}{ccc|ccc}1 &amp; -2 &amp; 0 &amp; 1 &amp; 0 &amp; 0 \\\\[2ex] 1 &amp; 2 &amp; 2 &amp; 0 &amp; 1 &amp; 0 \\\\[2ex] 0 &amp; 3 &amp; 2 &amp; 0 &amp; 0 &amp; 1 \\end{array} \\right) \\begin{array}{c} \\\\[2ex] \\xrightarrow{f_2 - f_1} \\\\[2ex] &amp;  \\end{array} \\left( \\begin{array}{ccc|ccc} 1 &amp; -2 &amp; 0 &amp; 1 &amp; 0 &amp; 0 \\\\[2ex] 0 &amp; 4 &amp; 2 &amp; -1 &amp; 1 &amp; 0 \\\\[2ex] 0 &amp; 3 &amp; 2 &amp; 0 &amp; 0 &amp; 1 \\end{array} \\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"98\" width=\"465\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0646\u0646\u062a\u0642\u0644 \u0625\u0644\u0649 \u0627\u0644\u0639\u0645\u0648\u062f \u0627\u0644\u062b\u0627\u0646\u064a: \u0646\u0642\u0648\u0645 \u0623\u0648\u0644\u0627\u064b \u0628\u062a\u062d\u0648\u064a\u0644 4 \u0625\u0644\u0649 1 \u0628\u0642\u0633\u0645\u0629 \u0627\u0644\u0635\u0641 \u0627\u0644\u062b\u0627\u0646\u064a \u0639\u0644\u0649 4:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-298984c72a249e2b5c98740cc0c1a11e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left( \\begin{array}{ccc|ccc} 1 &amp; -2 &amp; 0 &amp; 1 &amp; 0 &amp; 0 \\\\[2ex] 0 &amp; 4 &amp; 2 &amp; -1 &amp; 1 &amp; 0 \\\\[2ex] 0 &amp; 3 &amp; 2 &amp; 0 &amp; 0 &amp; 1\\end{array} \\right) \\begin{array}{c} \\\\[2ex] \\xrightarrow{f_2\/4} \\\\[2ex] &amp;  \\end{array} \\left( \\begin{array}{ccc|ccc} 1 &amp; -2 &amp; 0 &amp; 1 &amp; 0 &amp; 0 \\\\[2ex] 0 &amp; 1 &amp; \\sfrac{2}{4} &amp; \\sfrac{-1}{4} &amp; \\sfrac{1}{4} &amp; 0 \\\\[2ex] 0 &amp; 3 &amp; 2 &amp; 0 &amp; 0 &amp; 1 \\end{array} \\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"97\" width=\"495\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u062a\u062d\u062a\u0648\u064a \u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u0647\u0648\u064a\u0629 \u0639\u0644\u0649 0 \u0641\u064a \u0627\u0644\u0639\u0646\u0635\u0631 \u0627\u0644\u0623\u0648\u0644 \u0645\u0646 \u0627\u0644\u0639\u0645\u0648\u062f \u0627\u0644\u062b\u0627\u0646\u064a\u060c \u062d\u064a\u062b \u064a\u0648\u062c\u062f \u0627\u0644\u0622\u0646 -2. \u0644\u0630\u0644\u0643 \u064a\u062c\u0628 \u0639\u0644\u064a\u0646\u0627 \u062a\u062d\u0648\u064a\u0644 -2 \u0625\u0644\u0649 0. \u0644\u0644\u0642\u064a\u0627\u0645 \u0628\u0630\u0644\u0643\u060c \u0646\u0636\u064a\u0641 \u0627\u0644\u0633\u0637\u0631 2 \u0645\u0636\u0631\u0648\u0628\u064b\u0627 \u0641\u064a 2 \u0625\u0644\u0649 \u0627\u0644\u0633\u0637\u0631 1: <\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-ce876446d5d01a152e39480d69affd8c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{lrrr|rcr} &amp; 1 &amp; -2 &amp; 0 &amp; 1 &amp; 0 &amp; 0 \\\\ + &amp; 0 &amp; 2 &amp; 1 &amp; \\vphantom{\\Bigl(}\\sfrac{-2}{4} &amp; \\sfrac{2}{4} &amp; 0 \\\\ \\hline &amp; 1 &amp; 0 &amp; 1 &amp; \\sfrac{2}{4} &amp; \\sfrac{2}{4} \\vphantom{\\Bigl(}&amp; 0 \\end{array} \\begin{array}{l} \\color{blue}\\bm{\\leftarrow f_1} \\\\ \\color{blue}\\bm{\\leftarrow 2f_2}\\vphantom{\\Bigl(} \\\\ \\phantom{hline} \\vphantom{\\Bigl(} \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"88\" width=\"313\" style=\"vertical-align: -39px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-3dfcdcb586eed87861b3ac0ea46bea2f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left( \\begin{array}{ccc|ccc} 1 &amp; -2 &amp; 0 &amp; 1 &amp; 0 &amp; 0 \\\\[2ex] 0 &amp; 1 &amp; \\sfrac{2}{4} &amp; \\sfrac{-1}{4} &amp; \\sfrac{1}{4} &amp; 0 \\\\[2ex] 0 &amp; 3 &amp; 2 &amp; 0 &amp; 0 &amp; 1\\end{array} \\right) \\begin{array}{c} \\xrightarrow{f_1 +2f_2} \\\\[2ex]  \\\\[2ex] &amp; \\end{array} \\left( \\begin{array}{ccc|ccc} 1 &amp; 0 &amp; 1 &amp; \\sfrac{2}{4} &amp; \\sfrac{2}{4} &amp; 0 \\\\[2ex] 0 &amp; 1 &amp; \\sfrac{2}{4} &amp; \\sfrac{-1}{4} &amp; \\sfrac{1}{4} &amp; 0 \\\\[2ex] 0 &amp; 3 &amp; 2 &amp; 0 &amp; 0 &amp; 1 \\end{array} \\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"98\" width=\"525\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u062a\u062d\u062a\u0648\u064a \u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u0647\u0648\u064a\u0629 \u0639\u0644\u0649 0 \u0641\u064a \u0627\u0644\u0639\u0646\u0635\u0631 \u0627\u0644\u0623\u062e\u064a\u0631 \u0645\u0646 \u0627\u0644\u0639\u0645\u0648\u062f \u0627\u0644\u062b\u0627\u0646\u064a\u060c \u062d\u064a\u062b \u064a\u0648\u062c\u062f \u0627\u0644\u0622\u0646 3. \u0644\u0630\u0644\u0643 \u064a\u062c\u0628 \u0639\u0644\u064a\u0646\u0627 \u062a\u062d\u0648\u064a\u0644 3 \u0625\u0644\u0649 0. \u0644\u0644\u0642\u064a\u0627\u0645 \u0628\u0630\u0644\u0643\u060c \u0645\u0646 \u0627\u0644\u0633\u0637\u0631 3 \u0646\u0637\u0631\u062d \u0627\u0644\u0633\u0637\u0631 2 \u0645\u0636\u0631\u0648\u0628\u064b\u0627 \u0641\u064a 3: <\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-210ca8df473a00d9f205470ed2aa19a7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{lrrr|crr} &amp; 0 &amp; 3 &amp; 2 &amp; 0 &amp; 0\\phantom{0} &amp; 1 \\\\ + &amp; 0 &amp; -3 &amp; \\vphantom{\\Bigl(}\\sfrac{-6}{4} &amp; \\sfrac{3}{4} &amp; \\sfrac{-3}{4} &amp; 0 \\\\ \\hline &amp; 0 &amp; 0 &amp; \\vphantom{\\Bigl(}\\sfrac{2}{4} &amp; \\sfrac{3}{4} &amp; \\sfrac{-3}{4} &amp; 1 \\end{array} \\begin{array}{l} \\color{blue}\\bm{\\leftarrow f_3} \\\\ \\color{blue}\\bm{\\leftarrow -3f_2}\\vphantom{\\Bigl(} \\\\ \\phantom{hline} \\vphantom{\\Bigl(} \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"88\" width=\"350\" style=\"vertical-align: -39px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-94ed5a1b9cf1db0bfb99ce79d0a6d36b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left( \\begin{array}{ccc|ccc} 1 &amp; 0 &amp; 1 &amp; \\sfrac{2}{4} &amp; \\sfrac{2}{4} &amp; 0 \\\\[2ex] 0 &amp; 1 &amp; \\sfrac{2}{4} &amp; \\sfrac{-1}{4} &amp; \\sfrac{1}{4} &amp; 0 \\\\[2ex] 0 &amp; 3 &amp; 2 &amp; 0 &amp; 0 &amp; 1 \\end{array} \\right) \\begin{array}{c} \\\\[2ex]  \\\\[2ex] \\xrightarrow{f_3 -3f_2} \\end{array} \\left( \\begin{array}{ccc|ccc} 1 &amp; 0 &amp; 1 &amp; \\sfrac{2}{4} &amp; \\sfrac{2}{4} &amp; 0 \\\\[2ex] 0 &amp; 1 &amp; \\sfrac{2}{4} &amp; \\sfrac{-1}{4} &amp; \\sfrac{1}{4} &amp; 0 \\\\[2ex] 0 &amp; 0 &amp;\\sfrac{2}{4} &amp; \\sfrac{3}{4} &amp; \\sfrac{-3}{4} &amp; 1  \\end{array} \\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"98\" width=\"525\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0646\u0646\u062a\u0642\u0644 \u0625\u0644\u0649 \u0627\u0644\u0639\u0645\u0648\u062f \u0627\u0644\u062b\u0627\u0644\u062b: \u064a\u062c\u0628 \u0639\u0644\u064a\u0646\u0627 \u062a\u062d\u0648\u064a\u0644 \u0627\u0644\u0623\u062e\u064a\u0631<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-cd7d08f65ca5dd13d94128372d3b6c95_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\sfrac{2}{4}\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"18\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0625\u0644\u0649 1. \u0648\u0644\u0644\u0642\u064a\u0627\u0645 \u0628\u0630\u0644\u0643\u060c \u0646\u0636\u0631\u0628 \u0627\u0644\u0633\u0637\u0631 \u0627\u0644\u062b\u0627\u0644\u062b \u0628\u0640 2:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a8134938726d3b48fe3d7d789260b128_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left( \\begin{array}{ccc|ccc} 1 &amp; 0 &amp; 1 &amp; \\sfrac{2}{4} &amp; \\sfrac{2}{4} &amp; 0 \\\\[2ex] 0 &amp; 1 &amp; \\sfrac{2}{4} &amp; \\sfrac{-1}{4} &amp; \\sfrac{1}{4} &amp; 0 \\\\[2ex] 0 &amp; 0 &amp;\\sfrac{2}{4} &amp; \\sfrac{3}{4} &amp; \\sfrac{-3}{4} &amp; 1   \\end{array} \\right) \\begin{array}{c} \\\\[2ex]  \\\\[2ex] \\xrightarrow{2f_3 } \\end{array} \\left( \\begin{array}{ccc|ccc} 1 &amp; 0 &amp; 1 &amp; \\sfrac{2}{4} &amp; \\sfrac{2}{4} &amp; 0 \\\\[2ex] 0 &amp; 1 &amp; \\sfrac{2}{4} &amp; \\sfrac{-1}{4} &amp; \\sfrac{1}{4} &amp; 0 \\\\[2ex] 0 &amp; 0 &amp; 1 &amp; \\sfrac{6}{4} &amp; \\sfrac{-6}{4} &amp; 2   \\end{array} \\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"98\" width=\"515\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u062a\u062d\u062a\u0648\u064a \u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u0647\u0648\u064a\u0629 \u0639\u0644\u0649 0 \u0641\u064a \u0627\u0644\u0639\u0646\u0635\u0631 \u0627\u0644\u062b\u0627\u0646\u064a \u0645\u0646 \u0627\u0644\u0639\u0645\u0648\u062f \u0627\u0644\u0623\u062e\u064a\u0631. \u0648\u0644\u0630\u0644\u0643 \u0641\u0645\u0646 \u0627\u0644\u0636\u0631\u0648\u0631\u064a \u062a\u062d\u0648\u064a\u0644<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-cd7d08f65ca5dd13d94128372d3b6c95_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\sfrac{2}{4}\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"18\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0625\u0644\u0649 0. \u0644\u0644\u0642\u064a\u0627\u0645 \u0628\u0630\u0644\u0643\u060c \u0645\u0646 \u0627\u0644\u0633\u0637\u0631 2 \u0646\u0637\u0631\u062d \u0627\u0644\u0633\u0637\u0631 3 \u0645\u0642\u0633\u0648\u0645\u064b\u0627 \u0639\u0644\u0649 2: <\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-dc74ebe003751fd9ae3a5a77b2f589c8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{lrrr|ccr} &amp; 0 &amp; 1 &amp; \\vphantom{\\Bigl(} \\sfrac{2}{4} &amp; \\sfrac{-1}{4} &amp; \\sfrac{1}{4} &amp; 0 \\\\ + &amp; 0 &amp; 0 &amp; \\vphantom{\\Bigl(} \\sfrac{-1}{2} &amp; \\sfrac{-6}{8} &amp; \\sfrac{6}{8} &amp; -1  \\\\ \\hline &amp; 0 &amp; 1 &amp; 0\\phantom{0} &amp; -1 &amp; 1 &amp; -1\\vphantom{\\Bigl(} \\end{array} \\begin{array}{l} \\color{blue}\\bm{\\leftarrow f_2}\\vphantom{\\Bigl(}  \\\\ \\color{blue}\\bm{\\leftarrow -f_3\/2}\\vphantom{\\Bigl(} \\\\ \\phantom{hline} \\vphantom{\\Bigl(} \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"97\" width=\"358\" style=\"vertical-align: -44px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-8b91b71183a50e41e9be5c7305f8cf3e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left( \\begin{array}{ccc|ccc} 1 &amp; 0 &amp; 1 &amp; \\sfrac{2}{4} &amp; \\sfrac{2}{4} &amp; 0 \\\\[2ex] 0 &amp; 1 &amp; \\sfrac{2}{4} &amp; \\sfrac{-1}{4} &amp; \\sfrac{1}{4} &amp; 0 \\\\[2ex] 0 &amp; 0 &amp; 1 &amp; \\sfrac{6}{4} &amp; \\sfrac{-6}{4} &amp; 2 \\end{array} \\right) \\begin{array}{c} \\\\[2ex] \\xrightarrow{f_2-f_3\/2 } \\\\[2ex] &amp; \\end{array} \\left( \\begin{array}{ccc|ccc} 1 &amp; 0 &amp; 1 &amp; \\sfrac{2}{4} &amp; \\sfrac{2}{4} &amp; 0 \\\\[2ex] 0 &amp; 1 &amp; 0 &amp; -1 &amp; 1 &amp; -1 \\\\[2ex] 0 &amp; 0 &amp; 1 &amp; \\sfrac{6}{4} &amp; \\sfrac{-6}{4} &amp; 2   \\end{array} \\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"97\" width=\"542\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0643\u0644 \u0645\u0627 \u0639\u0644\u064a\u0646\u0627 \u0641\u0639\u0644\u0647 \u0627\u0644\u0622\u0646 \u0647\u0648 \u062a\u062d\u0648\u064a\u0644 \u0627\u0644\u0639\u0646\u0635\u0631 \u0627\u0644\u0623\u0648\u0644 \u0645\u0646 \u0627\u0644\u0639\u0645\u0648\u062f \u0627\u0644\u062b\u0627\u0644\u062b \u0625\u0644\u0649 0. \u0644\u0644\u0642\u064a\u0627\u0645 \u0628\u0630\u0644\u0643\u060c \u0646\u0637\u0631\u062d \u0627\u0644\u0635\u0641 3 \u0645\u0646 \u0627\u0644\u0635\u0641 1: <\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-38796ed093a0fef52426fb5559931586_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{lrrr|rcr} &amp; 1 &amp; 0 &amp; 1 &amp; \\sfrac{2}{4} &amp; \\sfrac{2}{4} &amp; 0 \\vphantom{\\Bigl(} \\\\ + &amp; 0 &amp; 0 &amp; -1 &amp; \\sfrac{-6}{4} &amp; \\sfrac{6}{4} &amp; -2 \\vphantom{\\Bigl(}  \\\\ \\hline &amp; 1 &amp; 0 &amp; 0 &amp; -1 &amp; 2 &amp; -2 \\vphantom{\\Bigl(} \\end{array} \\begin{array}{l} \\color{blue}\\bm{\\leftarrow f_1}\\vphantom{\\Bigl(}  \\\\ \\color{blue}\\bm{\\leftarrow -f_3}\\vphantom{\\Bigl(} \\\\ \\phantom{hline} \\vphantom{\\Bigl(} \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"97\" width=\"332\" style=\"vertical-align: -44px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-2023374b9885dd33fe4d3c12e5a4de59_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left( \\begin{array}{ccc|ccc}1 &amp; 0 &amp; 1 &amp; \\sfrac{2}{4} &amp; \\sfrac{2}{4} &amp; 0 \\\\[2ex] 0 &amp; 1 &amp; 0 &amp; -1 &amp; 1 &amp; -1 \\\\[2ex] 0 &amp; 0 &amp; 1 &amp; \\sfrac{6}{4} &amp; \\sfrac{-6}{4} &amp; 2 \\end{array} \\right) \\begin{array}{c} \\xrightarrow{f_1-f_3 }  \\\\[2ex] \\\\[2ex] &amp; \\end{array} \\left( \\begin{array}{ccc|ccc} 1 &amp; 0 &amp; 0 &amp; -1 &amp; 2 &amp; -2 \\\\[2ex] 0 &amp; 1 &amp; 0 &amp; -1 &amp; 1 &amp; -1 \\\\[2ex] 0 &amp; 0 &amp; 1 &amp; \\sfrac{6}{4} &amp; \\sfrac{-6}{4} &amp; 2   \\end{array} \\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"98\" width=\"524\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a \u0641\u0625\u0646 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u0639\u0643\u0633\u064a\u0629 \u0647\u064a:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-0854e7cb80ba561b6e0c724a9a9b5fff_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"A^{-1}= \\left(  \\begin{array}{ccc}  -1  &amp; 2 &amp; -2 \\\\[2ex]  -1 &amp; 1 &amp; -1 \\\\[2ex] \\sfrac{6}{4} &amp;\\sfrac{-6}{4} &amp; 2 \\end{array} \\bm{ \\right)}\" title=\"Rendered by QuickLaTeX.com\" height=\"96\" width=\"207\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0648\u0623\u062e\u064a\u0631\u0627\u060c \u064a\u0645\u0643\u0646 \u062a\u0628\u0633\u064a\u0637 \u0643\u0633\u0648\u0631 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u0639\u0643\u0633\u064a\u0629:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-6c7ef6b6cdca2f4a808ed9457bde3b3f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{A^{-1}= \\left( } \\begin{array}{ccc}  \\bm{-1} &amp; \\bm{2}  &amp; \\bm{-2} \\\\[2ex]  \\bm{-1} &amp; \\bm{1} &amp; \\bm{-1} \\\\[2ex] \\sfrac{\\bm{3}}{\\bm{2}} &amp;\\sfrac{\\bm{-3}}{\\bm{2}} &amp; \\bm{2} \\end{array} \\bm{ \\right)}\" title=\"Rendered by QuickLaTeX.com\" height=\"96\" width=\"207\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\" style=\";text-align:right;direction:rtl\"><\/div>\n<div class=\"adsb30\" style=\" margin:12px; text-align:center;text-align:right;direction:rtl\">\n<div id=\"ezoic-pub-ad-placeholder-119\" style=\";text-align:right;direction:rtl\"><\/div>\n<\/div>\n<h2 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"> \u062e\u0635\u0627\u0626\u0635 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u0639\u0643\u0633\u064a\u0629<\/h2>\n<p style=\";text-align:right;direction:rtl\"> \u062a\u062a\u0645\u064a\u0632 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u0639\u0643\u0633\u064a\u0629 \u0628\u0627\u0644\u062e\u0635\u0627\u0626\u0635 \u0627\u0644\u062a\u0627\u0644\u064a\u0629:<\/p>\n<ul style=\";text-align:right;direction:rtl\">\n<li style=\";text-align:right;direction:rtl\"> \u0645\u0639\u0643\u0648\u0633 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 <span style=\"color:#1976d2;\"><strong>\u0641\u0631\u064a\u062f \u0645\u0646 \u0646\u0648\u0639\u0647<\/strong><\/span> .<\/li>\n<\/ul>\n<ul style=\";text-align:right;direction:rtl\">\n<li style=\";text-align:right;direction:rtl\"> <span style=\"color:#1976d2;\"><strong>\u0645\u0639\u0643\u0648\u0633 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u0639\u0643\u0633\u064a\u0629<\/strong><\/span> \u0647\u0648 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u0623\u0635\u0644\u064a\u0629:<\/li>\n<\/ul>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-caac2cfeece17b627e46c7ec04020319_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left(A^{-1}\\right)^{-1} = A\" title=\"Rendered by QuickLaTeX.com\" height=\"26\" width=\"101\" style=\"vertical-align: -7px;\"><\/p>\n<\/p>\n<ul style=\";text-align:right;direction:rtl\">\n<li style=\";text-align:right;direction:rtl\"> <span style=\"color:#1976d2;\"><strong>\u0645\u0639\u0643\u0648\u0633 \u0636\u0631\u0628<\/strong><\/span> \u0645\u0635\u0641\u0648\u0641\u062a\u064a\u0646 \u064a\u0633\u0627\u0648\u064a \u062d\u0627\u0635\u0644 \u0636\u0631\u0628 \u0645\u0639\u0643\u0648\u0633 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u062a\u064a\u0646 \u0648\u0644\u0643\u0646 \u064a\u062a\u063a\u064a\u0631 \u062a\u0631\u062a\u064a\u0628\u0647\u0645\u0627.<\/li>\n<\/ul>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-8f0dd4094bdc2faa4449008d1d8ee8c9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left(A \\cdot B)^{-1} = B^{-1} \\cdot A^{-1}\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"171\" style=\"vertical-align: -7px;\"><\/p>\n<\/p>\n<ul style=\";text-align:right;direction:rtl\">\n<li style=\";text-align:right;direction:rtl\"> <span style=\"color:#1976d2;\"><strong>\u0625\u0646 \u0646\u0642\u0644 \u0645\u0635\u0641\u0648\u0641\u0629<\/strong><\/span> \u062b\u0645 \u0627\u0644\u0642\u064a\u0627\u0645 \u0628\u0639\u0643\u0633 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u064a\u0634\u0628\u0647 \u0625\u062c\u0631\u0627\u0621 \u0642\u0644\u0628 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u0623\u0648\u0644\u0627\u064b \u062b\u0645 \u0646\u0642\u0644\u0647\u0627.<\/li>\n<\/ul>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f2dc6d83dd3d9b9dacec6e7806c9c0e5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left(A^t\\right)^{-1} = \\left(A^{-1}\\right)^{t}\" title=\"Rendered by QuickLaTeX.com\" height=\"26\" width=\"128\" style=\"vertical-align: -7px;\"><\/p>\n<\/p>\n<ul style=\";text-align:right;direction:rtl\">\n<li style=\";text-align:right;direction:rtl\"> \u0644\u062d\u0644 <span style=\"color:#1976d2;\"><strong>\u0645\u062d\u062f\u062f \u0645\u0639\u0643\u0648\u0633 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629<\/strong><\/span> \u064a\u0645\u0643\u0646\u0646\u0627 \u062d\u0633\u0627\u0628 \u0645\u062d\u062f\u062f \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u062b\u0645 \u0639\u0645\u0644 \u0645\u0639\u0643\u0648\u0633\u0647\u0627\u060c \u062d\u064a\u062b \u0623\u0646 \u0627\u0644\u0639\u0645\u0644\u064a\u062a\u064a\u0646 \u062a\u0639\u0637\u064a\u0627\u0646 \u0646\u0641\u0633 \u0627\u0644\u0646\u062a\u064a\u062c\u0629.<\/li>\n<\/ul>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-e32fcd8a6c25d8c863947e6cc31efdc6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle det\\left(A^{-1}\\right) =\\bigl( det(A) \\bigr) ^{-1} = \\cfrac{1}{det(A)}\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"261\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"> \u0635\u064a\u063a\u0629 \u0644\u062d\u0633\u0627\u0628 \u0645\u0639\u0643\u0648\u0633 \u0645\u0635\u0641\u0648\u0641\u0629 2&#215;2 \u0628\u0633\u0631\u0639\u0629<\/h2>\n<p style=\";text-align:right;direction:rtl\"> \u0643\u0645\u0627 \u0631\u0623\u064a\u0646\u0627\u060c \u064a\u0645\u0643\u0646 \u0642\u0644\u0628 \u0623\u064a \u0645\u0635\u0641\u0648\u0641\u0629 \u0628\u0637\u0631\u064a\u0642\u0629 \u0627\u0644\u0645\u062d\u062f\u062f\u0627\u062a \u0623\u0648 \u0628\u0637\u0631\u064a\u0642\u0629 \u063a\u0627\u0648\u0633. \u0648\u0644\u0643\u0646\u060c \u0628\u0634\u0643\u0644 \u0645\u0646\u0641\u0635\u0644\u060c \u0647\u0646\u0627\u0643 \u0623\u064a\u0636\u064b\u0627 <strong>\u0635\u064a\u063a\u0629 \u0644\u0625\u064a\u062c\u0627\u062f \u0645\u0639\u0643\u0648\u0633 \u0645\u0635\u0641\u0648\u0641\u0629 2\u00d72 \u0628\u0633\u0631\u0639\u0629 \u0643\u0628\u064a\u0631\u0629<\/strong> : <\/p>\n<div class=\"wp-block-image estil_requadre_foto\" style=\";text-align:right;direction:rtl\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/formule-de-matrice-inverse-22152.webp\" alt=\"\u0635\u064a\u063a\u0629 \u0644\u0644\u0639\u062b\u0648\u0631 \u0639\u0644\u0649 \u0645\u0639\u0643\u0648\u0633 \u0645\u0635\u0641\u0648\u0641\u0629 2x2\u060c \u0635\u064a\u063a\u0629 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u0639\u0643\u0633\u064a\u0629 2x2\" class=\"wp-image-673\" width=\"475\" height=\"75\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p style=\";text-align:right;direction:rtl\"> \u0643\u0645\u0627 \u062a\u0631\u0648\u0646\u060c \u0641\u0625\u0646 \u0642\u0644\u0628 \u0645\u0635\u0641\u0648\u0641\u0629 2&#215;2 \u0623\u0645\u0631 \u0628\u0633\u064a\u0637: \u0645\u0627 \u0639\u0644\u064a\u0643 \u0633\u0648\u0649 \u062d\u0644 \u0645\u062d\u062f\u062f \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-3c046b53b17b87e9ca0f447d664754ba_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(|A|)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"35\" style=\"vertical-align: -5px;\"><\/p>\n<p> \u0642\u0645 \u0628\u062a\u0628\u062f\u064a\u0644 \u0645\u0648\u0636\u0639 \u0639\u0646\u0627\u0635\u0631 \u0627\u0644\u0642\u0637\u0631 \u0627\u0644\u0631\u0626\u064a\u0633\u064a \u0648\u062a\u063a\u064a\u064a\u0631 \u0639\u0644\u0627\u0645\u0629 \u0639\u0646\u0627\u0635\u0631 \u0627\u0644\u0642\u0637\u0631 \u0627\u0644\u062b\u0627\u0646\u0648\u064a.<\/p>\n<h3 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"> \u0645\u062b\u0627\u0644 \u0644\u0643\u064a\u0641\u064a\u0629 \u0627\u0644\u062d\u0635\u0648\u0644 \u0639\u0644\u0649 \u0645\u0635\u0641\u0648\u0641\u0629 \u0645\u0639\u0643\u0648\u0633\u0629 2 \u00d7 2 \u0628\u0627\u0644\u0635\u064a\u063a\u0629<\/h3>\n<div class=\"adsb30\" style=\" margin:px; text-align:;text-align:right;direction:rtl\"><\/div>\n<p style=\";text-align:right;direction:rtl\"> \u0627\u062d\u0633\u0628 \u0645\u0639\u0643\u0648\u0633 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u0645\u0631\u0628\u0639\u0629 \u0627\u0644\u062a\u0627\u0644\u064a\u0629 2 \u00d7 2:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-599baee27c05b5610a8714363e1260eb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  A = \\begin{pmatrix} 3 &amp; 5 \\\\[1.1ex] -2 &amp; -4 \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"122\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0645\u062d\u062f\u062f \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 A \u0647\u0648:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-ab99f7b87d01c670a8598df6364ab58f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\begin{aligned}\\begin{vmatrix}A\\end{vmatrix} = \\begin{vmatrix} 3 &amp; 5 \\\\[1.1ex] -2 &amp; -4 \\end{vmatrix} &amp; = 3 \\cdot (-4)- (-2) \\cdot 5 \\\\ &amp; = -12-(-10) \\\\[2ex] &amp; =-12+10\\\\[2ex] &amp;=-2\\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"160\" width=\"281\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0627\u0644\u0622\u0646 \u0646\u0637\u0628\u0642 <strong>\u0635\u064a\u063a\u0629 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u0639\u0643\u0633\u064a\u0629<\/strong> :<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-7d5308484309da4485a3d9b92af86e7d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A = \\begin{pmatrix} a &amp; b \\\\[1.1ex] c &amp; d \\end{pmatrix}\\longrightarrow A^{-1} = \\cfrac{1}{|A|} \\begin{pmatrix} d &amp; -b \\\\[1.1ex] -c &amp; a \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"305\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-68fd6e830b576af8abf55be1e11fbafb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A = \\begin{pmatrix} 3 &amp; 5 \\\\[1.1ex] -2 &amp; -4 \\end{pmatrix}\\longrightarrow A^{-1} = \\cfrac{1}{-2} \\begin{pmatrix} -4 &amp; -5 \\\\[1.1ex] 2 &amp; 3 \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"333\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0648\u0646\u0636\u0631\u0628 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u0641\u064a \u0627\u0644\u0643\u0633\u0631:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-41da8ef6bef1d339337717ed4ad86ae5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  A^{-1} =\\begin{pmatrix} \\cfrac{-4}{-2} &amp; \\cfrac{-5}{-2} \\\\[3ex] \\cfrac{2}{-2} &amp; \\cfrac{3}{-2} \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"97\" width=\"163\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a \u0641\u0625\u0646 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u0645\u0642\u0644\u0648\u0628\u0629 A \u0647\u064a:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-29da2a64f6da927857de112ca8363ba5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\bm{A^{-1} =}\\begin{pmatrix} \\bm{2} &amp; \\cfrac{\\bm{5}}{\\bm{2}} \\\\[3ex] \\bm{-1} &amp; \\bm{-}\\cfrac{\\bm{3}}{\\bm{2}} \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"97\" width=\"143\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0643\u0645\u0627 \u062a\u0631\u0648\u0646\u060c \u0641\u0625\u0646 \u0639\u0643\u0633 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u0628\u0647\u0630\u0647 \u0627\u0644\u0635\u064a\u063a\u0629 \u064a\u0643\u0648\u0646 \u0623\u0633\u0631\u0639 \u0628\u0643\u062b\u064a\u0631\u060c \u0648\u0644\u0643\u0646 \u0644\u0627 \u064a\u0645\u0643\u0646 \u0627\u0633\u062a\u062e\u062f\u0627\u0645\u0647 \u0625\u0644\u0627 \u0639\u0644\u0649 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0627\u062a \u0630\u0627\u062a \u0627\u0644\u0628\u0639\u062f 2&#215;2.<\/p>\n<h3 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"> \u062d\u0644 \u062a\u0645\u0627\u0631\u064a\u0646 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0627\u062a \u0627\u0644\u0639\u0643\u0633\u064a\u0629 2\u00d72 \u0628\u0627\u0644\u0635\u064a\u063a\u0629<\/h3>\n<h4 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"> \u0627\u0644\u062a\u0645\u0631\u064a\u0646 1<\/h4>\n<p style=\";text-align:right;direction:rtl\"> \u0627\u0642\u0644\u0628 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u062a\u0627\u0644\u064a\u0629 \u0630\u0627\u062a \u0627\u0644\u0628\u0639\u062f 2\u00d72: <\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-dc06e21fc1c3c54f9b3fc0dcd4912a8f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A=\\begin{pmatrix} 2 &amp; 5 \\\\[1.1ex] 1 &amp; 3 \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"95\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E3F2FD boto_ver_solucion\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E3F2FD\" style=\"text-align:center;text-align:right;direction:rtl\">\n<div class=\"otfm-sp__title\" style=\";text-align:right;direction:rtl\"> <strong>\u0627\u0646\u0638\u0631 \u0627\u0644\u062d\u0644<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0645\u062d\u062f\u062f \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 A \u0647\u0648:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-1b0ae510ea7a336cbe5ea56a554da719_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\begin{aligned}\\begin{vmatrix}A\\end{vmatrix} = \\begin{vmatrix} 2 &amp; 5 \\\\[1.1ex] 1 &amp; 3 \\end{vmatrix} &amp; = 2 \\cdot 3- 1 \\cdot 5 \\\\ &amp; = 6-5 \\\\[2ex] &amp; =1\\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"118\" width=\"198\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0627\u0644\u0622\u0646 \u0646\u0637\u0628\u0642 \u0627\u0644\u0635\u064a\u063a\u0629 \u0644\u0625\u064a\u062c\u0627\u062f \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u0639\u0643\u0633\u064a\u0629: <\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-7d5308484309da4485a3d9b92af86e7d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A = \\begin{pmatrix} a &amp; b \\\\[1.1ex] c &amp; d \\end{pmatrix}\\longrightarrow A^{-1} = \\cfrac{1}{|A|} \\begin{pmatrix} d &amp; -b \\\\[1.1ex] -c &amp; a \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"305\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-b8f18178c829fd38360a04a947d52017_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  A=\\begin{pmatrix} 2 &amp; 5 \\\\[1.1ex] 1 &amp; 3 \\end{pmatrix} \\longrightarrow A^{-1} = \\cfrac{1}{1} \\begin{pmatrix} 3 &amp; -5 \\\\[1.1ex] -1 &amp; 2 \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"292\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a \u0641\u0625\u0646 \u0645\u0639\u0643\u0648\u0633 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 A \u0647\u0648:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-237fe82cd91972f667f6751fa4735534_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\bm{A^{-1} =}\\begin{pmatrix} \\bm{3} &amp; \\bm{-5} \\\\[1.1ex] \\bm{-1} &amp; \\bm{2} \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"139\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\" style=\";text-align:right;direction:rtl\"><\/div>\n<h4 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\">\u062a\u0645\u0631\u064a\u0646 2<\/h4>\n<p style=\";text-align:right;direction:rtl\"> \u0627\u062d\u0633\u0628 \u0645\u0639\u0643\u0648\u0633 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u062a\u0627\u0644\u064a\u0629 \u0645\u0646 \u0627\u0644\u062a\u0631\u062a\u064a\u0628 2: <\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f2289d1c5c9aeb87016f719305d900a7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A=\\begin{pmatrix} 2 &amp; 6 \\\\[1.1ex] -1 &amp; -2 \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"122\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E3F2FD boto_ver_solucion\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E3F2FD\" style=\"text-align:center;text-align:right;direction:rtl\">\n<div class=\"otfm-sp__title\" style=\";text-align:right;direction:rtl\"> <strong>\u0627\u0646\u0638\u0631 \u0627\u0644\u062d\u0644<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0645\u062d\u062f\u062f \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 A \u0647\u0648:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a3fef2cc00702131123994cc588bf7ea_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\begin{aligned}\\begin{vmatrix}A\\end{vmatrix} = \\begin{vmatrix} 2 &amp; 6 \\\\[1.1ex] -1 &amp; -2 \\end{vmatrix} &amp; = 2 \\cdot (-2)- (-1) \\cdot 6 \\\\ &amp; = -4-(-6) \\\\[2ex] &amp; =-4+6 \\\\[2ex] &amp; =2\\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"160\" width=\"282\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0646\u0637\u0628\u0642 \u0627\u0644\u0622\u0646 \u0627\u0644\u0635\u064a\u063a\u0629 \u0644\u062d\u0644 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u0639\u0643\u0633\u064a\u0629 \u0644\u0644\u0628\u0639\u062f 2\u00d72: <\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-7d5308484309da4485a3d9b92af86e7d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A = \\begin{pmatrix} a &amp; b \\\\[1.1ex] c &amp; d \\end{pmatrix}\\longrightarrow A^{-1} = \\cfrac{1}{|A|} \\begin{pmatrix} d &amp; -b \\\\[1.1ex] -c &amp; a \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"305\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-2de7166a0cf59e0f8c5b7750e1947f04_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  A=\\begin{pmatrix} 2 &amp; 6 \\\\[1.1ex] -1 &amp; -2 \\end{pmatrix} \\longrightarrow A^{-1} = \\cfrac{1}{2} \\begin{pmatrix} -2 &amp; -6 \\\\[1.1ex] 1 &amp; 2 \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"319\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0648\u0623\u062e\u064a\u0631\u064b\u0627 \u0646\u0642\u0648\u0645 \u0628\u0639\u0645\u0644\u064a\u0629 \u0627\u0644\u0636\u0631\u0628: <\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f6a5973078468914beb4bd4d85a40331_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  A^{-1} = \\begin{pmatrix} \\cfrac{-2}{2} &amp; \\cfrac{-6}{2} \\\\[3ex] \\cfrac{1}{2} &amp; \\cfrac{2}{2} \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"97\" width=\"163\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a540a077ee9a24da96fa988410aef429_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\bm{A^{-1} =}\\begin{pmatrix} \\bm{-1} &amp; \\bm{-3} \\\\[2ex] \\cfrac{\\bm{1}}{\\bm{2}} &amp; \\bm{1} \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"76\" width=\"141\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\" style=\";text-align:right;direction:rtl\"><\/div>\n<h4 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\">\u0627\u0644\u062a\u0645\u0631\u064a\u0646 3<\/h4>\n<p style=\";text-align:right;direction:rtl\"> \u0627\u0642\u0644\u0628 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 2&#215;2 \u0627\u0644\u062a\u0627\u0644\u064a\u0629: <\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-36e230a808c42411a9cfd2d9eb44543d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A=\\begin{pmatrix} 4 &amp; 1 \\\\[1.1ex] 5 &amp; 2 \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"95\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E3F2FD boto_ver_solucion\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E3F2FD\" style=\"text-align:center;text-align:right;direction:rtl\">\n<div class=\"otfm-sp__title\" style=\";text-align:right;direction:rtl\"> <strong>\u0627\u0646\u0638\u0631 \u0627\u0644\u062d\u0644<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0645\u062d\u062f\u062f \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 A \u0647\u0648:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-e7a6c5ef316ae51b43c90863c6245780_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\begin{aligned}\\begin{vmatrix}A\\end{vmatrix} = \\begin{vmatrix} 4 &amp; 1 \\\\[1.1ex] 5 &amp; 2\\end{vmatrix} &amp; = 4 \\cdot 2 - 5 \\cdot 1 \\\\ &amp; = 8-5 \\\\[2ex] &amp;  =3\\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"118\" width=\"198\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0646\u0637\u0628\u0642 \u0627\u0644\u0622\u0646 \u0627\u0644\u0635\u064a\u063a\u0629 \u0644\u062d\u0633\u0627\u0628 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u0639\u0643\u0633\u064a\u0629 \u0644\u0644\u0628\u0639\u062f 2\u00d72: <\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-7d5308484309da4485a3d9b92af86e7d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A = \\begin{pmatrix} a &amp; b \\\\[1.1ex] c &amp; d \\end{pmatrix}\\longrightarrow A^{-1} = \\cfrac{1}{|A|} \\begin{pmatrix} d &amp; -b \\\\[1.1ex] -c &amp; a \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"305\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-e2f359bd166c295b869a8cf04d927097_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  A=\\begin{pmatrix} 4 &amp; 1 \\\\[1.1ex] 5 &amp; 2 \\end{pmatrix} \\longrightarrow A^{-1} = \\cfrac{1}{3} \\begin{pmatrix} 2 &amp; -1 \\\\[1.1ex] -5 &amp; 4 \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"292\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0648\u0623\u062e\u064a\u0631\u064b\u0627\u060c \u0646\u0642\u0648\u0645 \u0628\u0639\u0645\u0644 \u062d\u0627\u0635\u0644 \u0627\u0644\u0636\u0631\u0628 \u0628\u064a\u0646 \u0627\u0644\u0643\u0633\u0631 \u0648\u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-6a02ea2e547dcc21081ae80df407a4e0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  A^{-1} = \\begin{pmatrix} \\cfrac{\\bm{2}}{\\bm{3}} &amp; \\bm{-}\\cfrac{\\bm{1}}{\\bm{3}} \\\\[3ex] \\bm{-}\\cfrac{\\bm{5}}{\\bm{3}} &amp; \\cfrac{\\bm{4}}{\\bm{3}} \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"97\" width=\"147\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\" style=\";text-align:right;direction:rtl\"><\/div>\n<h4 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\">\u0627\u0644\u062a\u0645\u0631\u064a\u0646 4<\/h4>\n<p style=\";text-align:right;direction:rtl\"> \u0623\u0648\u062c\u062f \u0645\u0639\u0643\u0648\u0633 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u062a\u0627\u0644\u064a\u0629 \u0645\u0646 \u0627\u0644\u062f\u0631\u062c\u0629 \u0627\u0644\u062b\u0627\u0646\u064a\u0629: <\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-422fcd6f391a2682e4b546c9e9c05b55_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A=\\begin{pmatrix} -2 &amp; 5 \\\\[1.1ex] -3 &amp; 10 \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"117\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E3F2FD boto_ver_solucion\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E3F2FD\" style=\"text-align:center;text-align:right;direction:rtl\">\n<div class=\"otfm-sp__title\" style=\";text-align:right;direction:rtl\"> <strong>\u0627\u0646\u0638\u0631 \u0627\u0644\u062d\u0644<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0645\u062d\u062f\u062f \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 A \u0647\u0648:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-9e9997751e16d3b976454be828cb914d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\begin{aligned}\\begin{vmatrix}A\\end{vmatrix} = \\begin{vmatrix} -2 &amp; 5 \\\\[1.1ex] -3 &amp; 10\\end{vmatrix} &amp; = (-2) \\cdot 10- (-3) \\cdot 5 \\\\ &amp; = -20-(-15) \\\\[2ex] &amp; =-20+15 \\\\[2ex] &amp; =-5\\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"160\" width=\"285\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0627\u0644\u0622\u0646 \u0646\u0637\u0628\u0642 \u0627\u0644\u0635\u064a\u063a\u0629 \u0644\u0625\u0646\u0634\u0627\u0621 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u0639\u0643\u0633\u064a\u0629 \u0644\u0644\u0628\u0639\u062f 2\u00d72: <\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-7d5308484309da4485a3d9b92af86e7d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A = \\begin{pmatrix} a &amp; b \\\\[1.1ex] c &amp; d \\end{pmatrix}\\longrightarrow A^{-1} = \\cfrac{1}{|A|} \\begin{pmatrix} d &amp; -b \\\\[1.1ex] -c &amp; a \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"305\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-7c0c614039614bd9125b2920da8698eb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  A=\\begin{pmatrix} -2 &amp; 5 \\\\[1.1ex] -3 &amp; 10\\end{pmatrix} \\longrightarrow A^{-1} = \\cfrac{1}{-5} \\begin{pmatrix} 10 &amp; -5 \\\\[1.1ex] 3 &amp; -2 \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"323\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0648\u0623\u062e\u064a\u0631\u064b\u0627 \u0646\u0642\u0648\u0645 \u0628\u0639\u0645\u0644\u064a\u0629 \u0627\u0644\u0636\u0631\u0628: <\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-edb1dfc870b3045eaefc1716a80e2ca2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  A^{-1} = \\begin{pmatrix} \\cfrac{10}{-5} &amp; \\cfrac{-5}{-5} \\\\[3ex] \\cfrac{3}{-5} &amp; \\cfrac{-2}{-5} \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"97\" width=\"155\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-5c49e161c701254cfbe20353c11980eb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\bm{A^{-1} =}\\begin{pmatrix} \\bm{-2} &amp; \\bm{1} \\\\[2ex] \\bm{-}\\cfrac{\\bm{3}}{\\bm{5}} &amp; \\cfrac{\\bm{2}}{\\bm{5}} \\ \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"76\" width=\"137\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\" style=\";text-align:right;direction:rtl\"><\/div>\n<h2 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\">\u062d\u0644 \u0646\u0638\u0627\u0645 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0645\u0639 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u0639\u0643\u0633\u064a\u0629<\/h2>\n<p style=\";text-align:right;direction:rtl\"> \u0645\u0646 \u0627\u0644\u0635\u0639\u0628 \u062a\u0642\u062f\u064a\u0631 \u0627\u0644\u062a\u0637\u0628\u064a\u0642\u0627\u062a \u0627\u0644\u062d\u0642\u064a\u0642\u064a\u0629 \u0644\u0639\u0643\u0633 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629. \u0641\u064a \u0627\u0644\u0648\u0627\u0642\u0639\u060c \u0631\u0628\u0645\u0627 \u062a\u062a\u0633\u0627\u0621\u0644&#8230; \u0645\u0627 \u0647\u0648 \u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u0639\u0643\u0633\u064a\u0629\u061f \u0647\u0644 \u064a\u0633\u062a\u062e\u062f\u0645 \u062d\u0642\u0627 \u0644\u0623\u064a \u0634\u064a\u0621\u061f<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u062d\u0633\u0646\u064b\u0627\u060c \u0623\u062d\u062f \u0627\u0633\u062a\u062e\u062f\u0627\u0645\u0627\u062a \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u0639\u0643\u0633\u064a\u0629 \u0647\u0648 <strong>\u062d\u0644 \u0623\u0646\u0638\u0645\u0629 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0627\u0644\u062e\u0637\u064a\u0629<\/strong> . \u0648\u0646\u0639\u0645\u060c \u0639\u0644\u0649 \u0627\u0644\u0631\u063a\u0645 \u0645\u0646 \u0623\u0646\u0647\u0645\u0627 \u0642\u062f \u064a\u0628\u062f\u0648\u0627\u0646 \u0645\u0641\u0647\u0648\u0645\u064a\u0646 \u0645\u062e\u062a\u0644\u0641\u064a\u0646 \u062a\u0645\u0627\u0645\u064b\u0627\u060c \u0641\u0645\u0646 \u0627\u0644\u0645\u0645\u0643\u0646 \u0625\u064a\u062c\u0627\u062f \u062d\u0644 \u0644\u0646\u0638\u0627\u0645 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0639\u0646 \u0637\u0631\u064a\u0642 \u0642\u0644\u0628 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629.<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u062f\u0639\u0648\u0646\u0627 \u0646\u0631\u0649 \u0628\u0645\u062b\u0627\u0644 \u0643\u064a\u0641 \u064a\u062a\u0645 \u0630\u0644\u0643:<\/p>\n<ul style=\";text-align:right;direction:rtl\">\n<li style=\";text-align:right;direction:rtl\"> \u0627\u062d\u0633\u0628 \u062d\u0644 \u0646\u0638\u0627\u0645 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0627\u0644\u062a\u0627\u0644\u064a \u0628\u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u0639\u0643\u0633\u064a\u0629:<\/li>\n<\/ul>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-200c0f994f86752e7d650621a0d4100f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left. \\begin{array}{r} x+3y=5 \\\\[2ex] 2x+4y=6 \\end{array} \\right\\}\" title=\"Rendered by QuickLaTeX.com\" height=\"65\" width=\"112\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0628\u062f\u0627\u064a\u0629\u060c \u064a\u062c\u0628 \u0645\u0644\u0627\u062d\u0638\u0629 \u0623\u0646\u0647 \u064a\u0645\u0643\u0646 \u0627\u0644\u062a\u0639\u0628\u064a\u0631 \u0639\u0646 \u0646\u0638\u0627\u0645 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0641\u064a \u0634\u0643\u0644 \u0645\u0635\u0641\u0648\u0641\u0627\u062a:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-4b9c9f181fc16a501799145c516a9747_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\begin{pmatrix} 1 &amp; 3 \\\\[1.1ex] 2 &amp; 4 \\end{pmatrix}\\begin{pmatrix} x \\\\[1.1ex]y \\end{pmatrix} = \\begin{pmatrix} 5 \\\\[1.1ex] 6 \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"156\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u064a\u0645\u0643\u0646\u0646\u0627 \u0627\u0644\u062a\u062d\u0642\u0642 \u0645\u0646 \u0623\u0646 \u0635\u064a\u063a\u0629 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u0647\u0630\u0647 \u0644\u0644\u0646\u0638\u0627\u0645 \u062a\u0639\u0627\u062f\u0644 \u0627\u0644\u062a\u0639\u0628\u064a\u0631 \u0630\u0648 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0627\u062a: \u0625\u0630\u0627 \u0636\u0631\u0628\u0646\u0627 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0627\u062a \u0641\u0633\u0646\u0631\u0649 \u0623\u0646\u0646\u0627 \u062d\u0635\u0644\u0646\u0627 \u0639\u0644\u0649 \u0645\u0639\u0627\u062f\u0644\u062a\u064a \u0627\u0644\u0646\u0638\u0627\u0645.<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0627\u0644\u0622\u0646\u060c \u0644\u062a\u0628\u0633\u064a\u0637 \u0627\u0644\u062e\u0637\u0648\u0627\u062a \u0627\u0644\u062a\u0627\u0644\u064a\u0629\u060c \u0633\u0648\u0641 \u0646\u062a\u0635\u0644<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-25b206f25506e6d6f46be832f7119ffa_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"A\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"13\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0625\u0644\u0649 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u062a\u064a \u0644\u062f\u064a\u0647\u0627 \u0645\u0639\u0627\u0645\u0644\u0627\u062a \u0627\u0644\u0645\u062c\u0647\u0648\u0644\u060c<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-d4ee28752517d6062a3ca0314890342d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"X\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"16\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0625\u0644\u0649 \u0623\u0639\u0645\u062f\u0629 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u0645\u0639 \u0627\u0644\u0645\u062c\u0647\u0648\u0644\u064a\u0646\u060c \u0648<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-770fd1447ccf2fc229801b486b0d8f8a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"B\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"14\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0625\u0644\u0649 \u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u0623\u0639\u0645\u062f\u0629 \u0628\u0634\u0631\u0648\u0637 \u0645\u0633\u062a\u0642\u0644\u0629:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-ec1e9c04147230526534e694fb54f316_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle AX=B\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"67\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0644\u0630\u0644\u0643 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-d4ee28752517d6062a3ca0314890342d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"X\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"16\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0647\u0648 \u0627\u0644\u0645\u062c\u0647\u0648\u0644 \u0644\u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629.<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0644\u062d\u0644 \u0647\u0630\u0647 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u064a\u0629\u060c \u064a\u062c\u0628 \u0639\u0644\u064a\u0643 \u0627\u062a\u0628\u0627\u0639 \u0625\u062c\u0631\u0627\u0621 \u0644\u0646 \u0646\u0634\u0631\u062d\u0647 \u0628\u0627\u0644\u062a\u0641\u0635\u064a\u0644 \u0647\u0646\u0627. \u0625\u0630\u0627 \u0643\u0646\u062a \u062a\u0631\u064a\u062f \u0623\u0646 \u062a\u0641\u0647\u0645 \u0627\u0644\u0623\u0645\u0631 \u0628\u0634\u0643\u0644 \u0643\u0627\u0645\u0644\u060c \u064a\u0645\u0643\u0646\u0643 \u0627\u0644\u0627\u0637\u0644\u0627\u0639 \u0639\u0644\u0649 \u0643\u064a\u0641\u064a\u0629 \u062d\u0644 <a href=\"https:\/\/mathority.org\/ar\/\u0643\u064a\u0641\u064a\u0629-\u062d\u0644-\u0627\u0654\u0645\u062b\u0644\u0629-\u0645\u0639\u0627\u062f\u0644\u0627\u062a-\u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0627\u062a-\u0648\u062a\u0645\u0627\u0631\u064a\u0646-\u062d\u0644\u0647\u0627-\u0644\u0644\u0645\u0635\u0641\u0648\u0641\u0627\u062a-2x2-\u0648-3x3\/\">\u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0627\u062a<\/a> \u060c \u062d\u064a\u062b \u0646\u0634\u0631\u062d \u0627\u0644\u0639\u0645\u0644\u064a\u0629 \u0628\u0631\u0645\u062a\u0647\u0627 \u062e\u0637\u0648\u0629 \u0628\u062e\u0637\u0648\u0629.<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u064a\u0639\u062a\u0645\u062f \u0647\u0630\u0627 \u0627\u0644\u0625\u062c\u0631\u0627\u0621 \u0639\u0644\u0649 \u062e\u0627\u0635\u064a\u0629 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0627\u062a \u0627\u0644\u0639\u0643\u0633\u064a\u0629: \u0623\u064a \u0645\u0635\u0641\u0648\u0641\u0629 \u0645\u0636\u0631\u0648\u0628\u0629 \u0641\u064a \u0645\u0639\u0643\u0648\u0633\u0647\u0627 \u062a\u0633\u0627\u0648\u064a \u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u0647\u0648\u064a\u0629 (\u0623\u0648 \u0627\u0644\u0648\u062d\u062f\u0629). \u0644\u0630\u0644\u0643\u060c \u064a\u0645\u0643\u0646 \u062d\u0644 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u0645\u062c\u0647\u0648\u0644\u0629 \u0628\u0633\u0647\u0648\u0644\u0629<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-d4ee28752517d6062a3ca0314890342d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"X\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"16\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0628\u0636\u0631\u0628 \u0637\u0631\u0641\u064a \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0629 \u0641\u064a \u0645\u0639\u0643\u0648\u0633 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 A: <\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-ec1e9c04147230526534e694fb54f316_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle AX=B\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"67\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-e20a8dfa638cb0fa47765a784dc47a61_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^{-1}\\cdot AX=A^{-1}\\cdot B\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"156\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-218f48c32d9bfd298c1e9559e8059a82_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle IX=A^{-1}\\cdot B\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"107\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-acfded1a5d11f4b183ac34c85df906fc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle X=A^{-1}\\cdot B\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"98\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0648\u0628\u0645\u062c\u0631\u062f \u0639\u0632\u0644\u0646\u0627 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-d4ee28752517d6062a3ca0314890342d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"X\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"16\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u060c \u0646\u062d\u0633\u0628 \u0645\u0639\u0643\u0648\u0633<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-25b206f25506e6d6f46be832f7119ffa_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"A\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"13\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0648\u0646\u062d\u0644 \u062d\u0627\u0635\u0644 \u0636\u0631\u0628 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0627\u062a: <\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-9a1290e37a9e3f56fc6b288bc7686d66_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle X=\\left.\\begin{pmatrix} 1 &amp; 3 \\\\[1.1ex] 2 &amp; 4 \\end{pmatrix}\\right.^{-1}\\cdot \\begin{pmatrix} 5 \\\\[1.1ex] 6 \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"58\" width=\"170\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-21471fc8a4c04aac3121519e8ef874e5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle X=\\cfrac{1}{-2} \\begin{pmatrix} 4 &amp; -3 \\\\[1.1ex] -2 &amp; 1 \\end{pmatrix}\\cdot \\begin{pmatrix} 5 \\\\[1.1ex] 6 \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"202\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-b9457fedf68c4bdfea898922e465eeb8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle X= \\begin{pmatrix} -1 \\\\[1.1ex] 2 \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"86\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a \u0641\u0625\u0646 \u062d\u0644 \u0646\u0638\u0627\u0645 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0647\u0648:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-c2748b49f967580a0871d8739ee0d4f4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\bm{x=-1} \\qquad \\bm{y=2}\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"133\" style=\"vertical-align: -4px;\"><\/p><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u0641\u064a \u0647\u0630\u0647 \u0627\u0644\u0635\u0641\u062d\u0629 \u0633\u0648\u0641 \u062a\u062a\u0639\u0644\u0645 \u0645\u0627 \u0647\u0648 \u0648\u0643\u064a\u0641\u064a\u0629 \u062d\u0633\u0627\u0628 \u0645\u0639\u0643\u0648\u0633 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u0628\u0637\u0631\u064a\u0642\u0629 \u0627\u0644\u0645\u062d\u062f\u062f\u0627\u062a (\u0623\u0648 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u0645\u062c\u0627\u0648\u0631\u0629) \u0648\u0628\u0648\u0627\u0633\u0637\u0629 \u0637\u0631\u064a\u0642\u0629 \u063a\u0627\u0648\u0633. \u0633\u062a\u0634\u0627\u0647\u062f \u0623\u064a\u0636\u064b\u0627 \u062c\u0645\u064a\u0639 \u062e\u0635\u0627\u0626\u0635 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u0639\u0643\u0633\u064a\u0629\u060c \u0648\u0633\u062a\u062c\u062f \u0623\u064a\u0636\u064b\u0627 \u0623\u0645\u062b\u0644\u0629 \u0648\u062a\u0645\u0627\u0631\u064a\u0646 \u0645\u062d\u0644\u0648\u0644\u0629 \u062e\u0637\u0648\u0629 \u0628\u062e\u0637\u0648\u0629 \u0644\u0643\u0644 \u0637\u0631\u064a\u0642\u0629 \u062d\u062a\u0649 \u062a\u0641\u0647\u0645\u0647\u0627 \u062a\u0645\u0627\u0645\u064b\u0627. \u0623\u062e\u064a\u0631\u064b\u0627\u060c \u0646\u0634\u0631\u062d \u0635\u064a\u063a\u0629 \u0644\u0639\u0643\u0633 \u0645\u0635\u0641\u0648\u0641\u0629 2&#215;2 \u0628\u0633\u0631\u0639\u0629 \u0648\u062d\u062a\u0649 \u0623\u0639\u0638\u0645 \u0641\u0627\u0626\u062f\u0629 \u0644\u0639\u0645\u0644\u064a\u0629 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u0647\u0630\u0647: \u062d\u0644 \u0646\u0638\u0627\u0645 \u0645\u0646 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0627\u0644\u062e\u0637\u064a\u0629. &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/ar\/%d9%85%d8%b5%d9%81%d9%88%d9%81%d8%a9-%d9%85%d8%b9%d9%83%d9%88%d8%b3%d8%a9\/\"> <span class=\"screen-reader-text\">\u0643\u064a\u0641\u064a\u0629 \u062d\u0633\u0627\u0628 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u0639\u0643\u0633\u064a\u0629<\/span> \u0642\u0631\u0627\u0621\u0629 \u0627\u0644\u0645\u0632\u064a\u062f &raquo;<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"","footnotes":""},"categories":[7],"tags":[],"class_list":["post-70","post","type-post","status-publish","format-standard","hentry","category-7"],"yoast_head":"<!-- This site is optimized 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