{"id":286,"date":"2023-07-06T21:19:23","date_gmt":"2023-07-06T21:19:23","guid":{"rendered":"https:\/\/mathority.org\/ar\/%d9%82%d9%88%d9%89-%d8%a7%d9%84%d9%85%d8%b5%d9%81%d9%88%d9%81%d8%a7%d8%aa-2x2-%d9%88-3x3-%d8%a3%d9%85%d8%ab%d9%84%d8%a9-%d9%88%d8%aa%d9%85%d8%a7%d8%b1%d9%8a%d9%86-%d9%85%d8%ad%d9%84%d9%88%d9%84%d8%a9\/"},"modified":"2023-07-06T21:19:23","modified_gmt":"2023-07-06T21:19:23","slug":"%d9%82%d9%88%d9%89-%d8%a7%d9%84%d9%85%d8%b5%d9%81%d9%88%d9%81%d8%a7%d8%aa-2x2-%d9%88-3x3-%d8%a3%d9%85%d8%ab%d9%84%d8%a9-%d9%88%d8%aa%d9%85%d8%a7%d8%b1%d9%8a%d9%86-%d9%85%d8%ad%d9%84%d9%88%d9%84%d8%a9","status":"publish","type":"post","link":"https:\/\/mathority.org\/ar\/%d9%82%d9%88%d9%89-%d8%a7%d9%84%d9%85%d8%b5%d9%81%d9%88%d9%81%d8%a7%d8%aa-2x2-%d9%88-3x3-%d8%a3%d9%85%d8%ab%d9%84%d8%a9-%d9%88%d8%aa%d9%85%d8%a7%d8%b1%d9%8a%d9%86-%d9%85%d8%ad%d9%84%d9%88%d9%84%d8%a9\/","title":{"rendered":"\u0642\u0648\u0649 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629"},"content":{"rendered":"<p style=\";text-align:right;direction:rtl\">\u0641\u064a \u0647\u0630\u0647 \u0627\u0644\u0635\u0641\u062d\u0629 \u0633\u0646\u0631\u0649 \u0643\u064a\u0641\u064a\u0629 \u062d\u0633\u0627\u0628 <strong>\u0642\u0648\u0649 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0627\u062a.<\/strong> \u0633\u062a\u062c\u062f \u0623\u064a\u0636\u064b\u0627 \u0623\u0645\u062b\u0644\u0629 \u0648\u062a\u0645\u0627\u0631\u064a\u0646 \u062a\u0645 \u062d\u0644\u0647\u0627 \u062e\u0637\u0648\u0629 \u0628\u062e\u0637\u0648\u0629 \u0644\u0642\u0648\u0649 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0627\u062a \u0648\u0627\u0644\u062a\u064a \u0633\u062a\u0633\u0627\u0639\u062f\u0643 \u0639\u0644\u0649 \u0641\u0647\u0645\u0647\u0627 \u0628\u0634\u0643\u0644 \u0645\u062b\u0627\u0644\u064a. \u0633\u0648\u0641 \u062a\u062a\u0639\u0644\u0645 \u0623\u064a\u0636\u064b\u0627 \u0645\u0627 \u0647\u064a \u0627\u0644\u0642\u0648\u0629 n \u0644\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u0648\u0643\u064a\u0641\u064a\u0629 \u0627\u0644\u0639\u062b\u0648\u0631 \u0639\u0644\u064a\u0647\u0627.<\/p>\n<h2 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"> \u0643\u064a\u0641 \u064a\u062a\u0645 \u062d\u0633\u0627\u0628 \u0642\u0648\u0629 \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\"> \u0644\u062d\u0633\u0627\u0628 <strong>\u0642\u0648\u0629 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629<\/strong> \u060c \u064a\u062c\u0628 \u0639\u0644\u064a\u0643 \u0636\u0631\u0628 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u0641\u064a \u0646\u0641\u0633\u0647\u0627 \u0639\u062f\u0629 \u0645\u0631\u0627\u062a \u0643\u0645\u0627 \u064a\u0642\u0648\u0644 \u0627\u0644\u0623\u0633. \u0639\u0644\u0649 \u0633\u0628\u064a\u0644 \u0627\u0644\u0645\u062b\u0627\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-3e77b01db3eabfb211a806dcae2fc5c9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"A^4 = A \\cdot A \\cdot A \\cdot A\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"136\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<\/div>\n<p style=\";text-align:right;direction:rtl\"> \u0644\u0630\u0644\u0643\u060c \u0644\u0644\u062d\u0635\u0648\u0644 \u0639\u0644\u0649 \u0642\u0648\u0629 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629\u060c \u0639\u0644\u064a\u0643 \u0623\u0646 \u062a\u0639\u0631\u0641 \u0643\u064a\u0641\u064a\u0629 \u062d\u0644 <a href=\"https:\/\/mathority.org\/ar\/\u0636\u0631\u0628-\u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0627\u062a-2x2-\u0648-3x3-\u0627\u0654\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\/\">\u0636\u0631\u0628 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0627\u062a<\/a> . \u0648\u0625\u0644\u0627 \u0641\u0644\u0646 \u062a\u062a\u0645\u0643\u0646 \u0645\u0646 \u062d\u0633\u0627\u0628 \u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u0637\u0627\u0642\u0629.<\/p>\n<h3 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"> \u0645\u062b\u0627\u0644 \u0644\u062d\u0633\u0627\u0628 \u0642\u0648\u0629 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629: <\/h3>\n<figure class=\"wp-block-image aligncenter is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/exemples-de-puissances-de-matrices-22.webp\" alt=\"\u0623\u0645\u062b\u0644\u0629 \u0639\u0644\u0649 \u0642\u0648\u0649 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0627\u062a 2x2\" width=\"560\" height=\"471\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<p style=\";text-align:right;direction:rtl\"> \u0648\u0644\u0630\u0644\u0643\u060c \u064a\u062a\u0645 \u062d\u0633\u0627\u0628 \u0642\u0648\u0629 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u062a\u0631\u0628\u064a\u0639\u064a\u0629 \u0639\u0646 \u0637\u0631\u064a\u0642 \u0636\u0631\u0628 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u0641\u064a \u0646\u0641\u0633\u0647\u0627. \u0648\u0628\u0627\u0644\u0645\u062b\u0644\u060c \u0641\u0625\u0646 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u0645\u0643\u0639\u0628\u0629 \u062a\u0633\u0627\u0648\u064a \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u062a\u0631\u0628\u064a\u0639\u064a\u0629 \u0644\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u0646\u0641\u0633\u0647\u0627. \u0648\u0628\u0627\u0644\u0645\u062b\u0644\u060c \u0644\u0625\u064a\u062c\u0627\u062f \u0642\u0648\u0629 \u0645\u0635\u0641\u0648\u0641\u0629 \u0645\u0631\u0641\u0648\u0639\u0629 \u0625\u0644\u0649 \u0623\u0631\u0628\u0639\u0629\u060c \u064a\u062c\u0628 \u0636\u0631\u0628 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u0645\u0631\u0641\u0648\u0639\u0629 \u0625\u0644\u0649 \u062b\u0644\u0627\u062b\u0629 \u0641\u064a \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u0646\u0641\u0633\u0647\u0627. \u0648\u0645\u0627 \u0625\u0644\u0649 \u0630\u0644\u0643 \u0648\u0647\u0644\u0645 \u062c\u0631\u0627.<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0647\u0646\u0627\u0643 \u062e\u0627\u0635\u064a\u0629 \u0645\u0647\u0645\u0629 \u0644\u0642\u0648\u0629 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u064a\u062c\u0628 \u0623\u0646 \u062a\u0639\u0631\u0641\u0647\u0627: <strong>\u0644\u0627 \u064a\u0645\u0643\u0646 \u062d\u0633\u0627\u0628 \u0642\u0648\u0629 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u0625\u0644\u0627 \u0639\u0646\u062f\u0645\u0627 \u062a\u0643\u0648\u0646 \u0645\u0631\u0628\u0639\u0629<\/strong> \u060c \u0623\u064a \u0639\u0646\u062f\u0645\u0627 \u062a\u062d\u062a\u0648\u064a \u0639\u0644\u0649 \u0646\u0641\u0633 \u0639\u062f\u062f \u0627\u0644\u0635\u0641\u0648\u0641 \u0645\u062b\u0644 \u0627\u0644\u0623\u0639\u0645\u062f\u0629.<\/p>\n<h2 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"> \u0645\u0627 \u0647\u064a \u0642\u0648\u0629 n \u0644\u0644\u0645\u0635\u0641\u0648\u0641\u0629\u061f<\/h2>\n<p style=\";text-align:right;direction:rtl\"> <strong>\u0627\u0644\u0642\u0648\u0629 n \u0644\u0644\u0645\u0635\u0641\u0648\u0641\u0629<\/strong> \u0647\u064a \u062a\u0639\u0628\u064a\u0631 \u064a\u0633\u0645\u062d \u0644\u0646\u0627 \u0628\u062d\u0633\u0627\u0628 \u0623\u064a \u0642\u0648\u0629 \u0644\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u0628\u0633\u0647\u0648\u0644\u0629.<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u063a\u0627\u0644\u0628\u064b\u0627 \u0645\u0627 \u062a\u062a\u0628\u0639 \u0642\u0648\u0649 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0627\u062a <strong>\u0646\u0645\u0637\u064b\u0627 \u0645\u0627<\/strong> . \u0644\u0630\u0644\u0643\u060c \u0625\u0630\u0627 \u062a\u0645\u0643\u0646\u0627 \u0645\u0646 \u0641\u0643 \u0631\u0645\u0648\u0632 \u0627\u0644\u062a\u0633\u0644\u0633\u0644 \u0627\u0644\u0630\u064a \u062a\u062a\u0628\u0639\u0647\u060c \u0641\u0633\u0646\u0643\u0648\u0646 \u0642\u0627\u062f\u0631\u064a\u0646 \u0639\u0644\u0649 \u062d\u0633\u0627\u0628 \u0623\u064a \u0642\u0648\u0629 \u062f\u0648\u0646 \u0627\u0644\u062d\u0627\u062c\u0629 \u0625\u0644\u0649 \u0625\u062c\u0631\u0627\u0621 \u062c\u0645\u064a\u0639 \u0639\u0645\u0644\u064a\u0627\u062a \u0627\u0644\u0636\u0631\u0628.<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0647\u0630\u0627 \u064a\u0639\u0646\u064a \u0623\u0646\u0647 \u064a\u0645\u0643\u0646\u0646\u0627 \u0625\u064a\u062c\u0627\u062f \u0635\u064a\u063a\u0629 \u062a\u0639\u0637\u064a\u0646\u0627 \u0627\u0644\u0642\u0648\u0629 \u0627\u0644\u0646\u0648\u0646\u064a\u0629 \u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u062f\u0648\u0646 \u0627\u0644\u062d\u0627\u062c\u0629 \u0625\u0644\u0649 \u062d\u0633\u0627\u0628 \u062c\u0645\u064a\u0639 \u0627\u0644\u0642\u0648\u0649. <\/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\"> <strong>\u0646\u0635\u0627\u0626\u062d<\/strong> \u0644\u0627\u0643\u062a\u0634\u0627\u0641 \u0627\u0644\u0646\u0645\u0637 \u0627\u0644\u0630\u064a \u062a\u062a\u0628\u0639\u0647 \u0627\u0644\u0642\u0648\u0649:<\/p>\n<ul style=\"color:#1976d2; font-weight: bold;;text-align:right;direction:rtl\">\n<li style=\"margin-bottom:16px;text-align:right;direction:rtl\"> <span style=\"color:#000000;font-weight: normal;\"><strong>\u062a\u0643\u0627\u0641\u0624 \u0627\u0644\u0623\u0633<\/strong> . \u0631\u0628\u0645\u0627 \u062a\u0643\u0648\u0646 \u062d\u062a\u0649 \u0627\u0644\u0642\u0648\u0649 \u0641\u064a \u0627\u062a\u062c\u0627\u0647 \u0648\u0627\u0644\u0642\u0648\u0649 \u0627\u0644\u0641\u0631\u062f\u064a\u0629 \u0641\u064a \u0627\u0644\u0627\u062a\u062c\u0627\u0647 \u0627\u0644\u0622\u062e\u0631.<\/span><\/li>\n<li style=\"margin-bottom:16px;;text-align:right;direction:rtl\"> <span style=\"color:#000000;font-weight: normal;\"><strong>\u062a\u0628\u0627\u064a\u0646 \u0627\u0644\u0639\u0644\u0627\u0645\u0627\u062a.<\/strong> \u0639\u0644\u0649 \u0633\u0628\u064a\u0644 \u0627\u0644\u0645\u062b\u0627\u0644\u060c \u064a\u0645\u0643\u0646 \u0623\u0646 \u062a\u0643\u0648\u0646 \u0639\u0646\u0627\u0635\u0631 \u0627\u0644\u0642\u0648\u0649 \u0627\u0644\u0632\u0648\u062c\u064a\u0629 \u0645\u0648\u062c\u0628\u0629 \u0648\u0639\u0646\u0627\u0635\u0631 \u0627\u0644\u0642\u0648\u0649 \u0627\u0644\u0641\u0631\u062f\u064a\u0629 \u0633\u0627\u0644\u0628\u0629\u060c \u0623\u0648 \u0627\u0644\u0639\u0643\u0633.<\/span><\/li>\n<li style=\"margin-bottom:16px;;text-align:right;direction:rtl\"> <span style=\"color:#000000;font-weight: normal;\"><strong>\u0627\u0644\u062a\u0643\u0631\u0627\u0631:<\/strong> \u0647\u0644 \u062a\u062a\u0643\u0631\u0631 \u0646\u0641\u0633 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u0643\u0644 \u0639\u062f\u062f \u0645\u0639\u064a\u0646 \u0645\u0646 \u0627\u0644\u0642\u0648\u0649 \u0623\u0645 \u0644\u0627.<\/span><\/li>\n<li style=\";text-align:right;direction:rtl\"> <span style=\"color:#000000;font-weight: normal;\">\u064a\u062c\u0628 \u0639\u0644\u064a\u0646\u0627 \u0623\u064a\u0636\u064b\u0627 \u0623\u0646 \u0646\u0646\u0638\u0631 \u0625\u0644\u0649 \u0645\u0627 \u0625\u0630\u0627 \u0643\u0627\u0646\u062a \u0647\u0646\u0627\u0643 <strong>\u0639\u0644\u0627\u0642\u0629<\/strong> \u0628\u064a\u0646 \u0627\u0644\u0623\u0633 \u0648\u0639\u0646\u0627\u0635\u0631 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629.<\/span> <\/li>\n<\/ul>\n<\/div>\n<div class=\"adsb30\" style=\" margin:px; text-align:;text-align:right;direction:rtl\"><\/div>\n<h3 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"> \u0645\u062b\u0627\u0644 \u0644\u062d\u0633\u0627\u0628 \u0627\u0644\u0642\u062f\u0631\u0629 n \u0644\u0644\u0645\u0635\u0641\u0648\u0641\u0629:<\/h3>\n<ul style=\";text-align:right;direction:rtl\">\n<li style=\";text-align:right;direction:rtl\"> \u064a\u0643\u0648\u0646\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\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u062a\u0627\u0644\u064a\u0629\u060c \u0627\u062d\u0633\u0628<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-34564dd93ab535fd300f9ac993829376_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"A^n\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"21\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0648<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-52b77e64505e02204c8e501aea82c251_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"A^{100}\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"34\" style=\"vertical-align: 0px;\"><\/p>\n<p> .<\/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-60016ce1c6799c93007526681fbf4894_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  A = \\begin{pmatrix} 1 &amp; 1 \\\\[1.1ex] 1 &amp; 1 \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"95\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0633\u0646\u0642\u0648\u0645 \u0623\u0648\u0644\u0627\u064b \u0628\u062d\u0633\u0627\u0628 \u0639\u062f\u0629 \u0642\u0648\u0649 \u0644\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> \u0644\u0645\u062d\u0627\u0648\u0644\u0629 \u062a\u062e\u0645\u064a\u0646 \u0627\u0644\u0646\u0645\u0637 \u0627\u0644\u0630\u064a \u062a\u062a\u0628\u0639\u0647 \u0627\u0644\u0642\u0648\u0649. \u0644\u0630\u0644\u0643 \u0646\u062d\u0646 \u0646\u062d\u0633\u0628<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-8b49aeb7162689d03dd9f9470a2ae1a6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"A^2\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"20\" style=\"vertical-align: 0px;\"><\/p>\n<p> ,<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-07e0009cbaebcb5501371dd9f6795f4d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"A^3\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"20\" style=\"vertical-align: 0px;\"><\/p>\n<p> ,<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-2ccb300f7879fa598883dafb53bf7a5a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"A^4\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"20\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0648 <\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f2ce79bf092ea6898cbcbc086729ba93_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"A^5:\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"30\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<figure class=\"wp-block-image aligncenter is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/exercice-resolu-pas-a-pas-des-puissances-des-matrices-22.webp\" alt=\"\u062a\u0645\u0631\u064a\u0646 \u062a\u0645 \u062d\u0644\u0647 \u062e\u0637\u0648\u0629 \u0628\u062e\u0637\u0648\u0629 \u0644\u0642\u0648\u0649 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0627\u062a 2\u00d72\" width=\"409\" height=\"361\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<p style=\";text-align:right;direction:rtl\"> \u0639\u0646\u062f \u062d\u0633\u0627\u0628 \u0645\u0627 \u064a\u0635\u0644 \u0625\u0644\u0649<\/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-0d1e5d53cda856213bbb6b5796706dd8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"A^5\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"20\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u060c \u0646\u0631\u0649 \u0623\u0646 \u0635\u0644\u0627\u062d\u064a\u0627\u062a \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<p> \u0648\u0647\u064a \u062a\u062a\u0628\u0639 \u0646\u0645\u0637\u064b\u0627: \u0644\u0643\u0644 \u0632\u064a\u0627\u062f\u0629 \u0641\u064a \u0627\u0644\u0623\u0633\u060c \u064a\u062a\u0645 \u0636\u0631\u0628 \u0627\u0644\u0646\u062a\u064a\u062c\u0629 \u0641\u064a 2. \u0644\u0630\u0644\u0643\u060c <strong>\u062c\u0645\u064a\u0639 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0627\u062a \u0647\u064a \u0642\u0648\u0649 \u0644\u0644\u0639\u062f\u062f 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-4ec7ee835cf9eda6a4f9d497e8baff79_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^2= \\begin{pmatrix} 2 &amp; 2 \\\\[1.1ex] 2 &amp; 2 \\end{pmatrix} =\\begin{pmatrix} 2^1 &amp; 2^1 \\\\[1.1ex] 2^1 &amp; 2^1 \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"204\" 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-69c6ff0f4de92192584dadc4719167c7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^3= \\begin{pmatrix} 4 &amp; 4 \\\\[1.1ex] 4 &amp; 4 \\end{pmatrix}=\\begin{pmatrix} 2^2 &amp; 2^2 \\\\[1.1ex] 2^2 &amp; 2^2 \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"204\" 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-f724a50b220b3026d53e40ee17870359_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^4= \\begin{pmatrix} 8 &amp; 8 \\\\[1.1ex] 8 &amp; 8 \\end{pmatrix}=\\begin{pmatrix} 2^3 &amp; 2^3 \\\\[1.1ex] 2^3 &amp; 2^3 \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"204\" 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-f5f08f7cc00465a6a098ce7d752aa66f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^5= \\begin{pmatrix} 16 &amp; 16 \\\\[1.1ex] 16 &amp; 16 \\end{pmatrix}=\\begin{pmatrix} 2^4 &amp; 2^4 \\\\[1.1ex] 2^4 &amp; 2^4 \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"221\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u064a\u0645\u0643\u0646\u0646\u0627 \u0628\u0627\u0644\u062a\u0627\u0644\u064a \u0627\u0633\u062a\u0646\u062a\u0627\u062c \u0635\u064a\u063a\u0629 <strong>\u0627\u0644\u0642\u0648\u0629 \u0627\u0644\u0646\u0648\u0646\u064a\u0629<\/strong> \u0644\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-944477c7f7578892a57aa3b7c7dd8268_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"A:\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"22\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<figure class=\"wp-block-image aligncenter is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/nieme-puissance-dune-matrice.webp\" alt=\"\u0627\u0644\u0642\u0648\u0629 n \u0644\u0645\u0635\u0641\u0648\u0641\u0629 2x2\" width=\"201\" height=\"68\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<p style=\";text-align:right;direction:rtl\"> \u0648\u0645\u0646 \u0647\u0630\u0647 \u0627\u0644\u0635\u064a\u063a\u0629 \u064a\u0645\u0643\u0646\u0646\u0627 \u0627\u0644\u062d\u0633\u0627\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-560982f344534dee89eb7afbf6be520e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"A^{100}:\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"44\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<figure class=\"wp-block-image aligncenter is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/exercice-de-puissance-resolu-dune-matrice.webp\" alt=\"\u062a\u0645\u0631\u064a\u0646 \u062a\u0645 \u062d\u0644\u0647 \u062e\u0637\u0648\u0629 \u0628\u062e\u0637\u0648\u0629 \u0644\u0642\u0648\u0629 \u0645\u0635\u0641\u0648\u0641\u0629 2x2\" width=\"187\" height=\"68\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<h2 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"> \u062d\u0644 \u0645\u0634\u0627\u0643\u0644 \u0642\u0648\u0629 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629<\/h2>\n<h3 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"> \u0627\u0644\u062a\u0645\u0631\u064a\u0646 1<\/h3>\n<p style=\";text-align:right;direction:rtl\"> \u062e\u0630 \u0628\u0639\u064a\u0646 \u0627\u0644\u0627\u0639\u062a\u0628\u0627\u0631 \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-cdf81cf9fb956a144c7bda96a84ec7db_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A=\\begin{pmatrix} 1 &amp; 2 \\\\[1.1ex] -1 &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\"> \u0627\u062d\u0633\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-2589110bbf0eae4fa44ef48ab7b0f416_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^4\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"20\" 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\"> \u0644\u062d\u0633\u0627\u0628 \u0642\u0648\u0629 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629\u060c \u0639\u0644\u064a\u0643 \u0636\u0631\u0628 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u0648\u0627\u062d\u062f\u0629 \u062a\u0644\u0648 \u0627\u0644\u0623\u062e\u0631\u0649. \u0648\u0644\u0630\u0644\u0643\u060c \u0641\u0625\u0646\u0646\u0627 \u0646\u062d\u0633\u0628 \u0623\u0648\u0644\u0627 <\/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-d7581934ef6136b2b48380f1a53c7809_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^2 :\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"30\" 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-24916b0b0e4431b0a2ee2b09875dc903_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^2= A \\cdot A = \\begin{pmatrix} 1 &amp; 2 \\\\[1.1ex] -1 &amp; 1 \\end{pmatrix} \\cdot \\begin{pmatrix} 1 &amp; 2 \\\\[1.1ex] -1 &amp; 1 \\end{pmatrix} = \\begin{pmatrix} -1 &amp; 4 \\\\[1.1ex] -2 &amp;  -1\\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"381\" 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\u062d\u0633\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-fecf45671ed5e89f1f756fd265fcf13b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^3 :\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"30\" 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-57f79bd420c0044c84a64b431035b8ea_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^3= A^2 \\cdot A = \\begin{pmatrix} -1 &amp; 4 \\\\[1.1ex] -2 &amp;  -1 \\end{pmatrix} \\cdot \\begin{pmatrix} 1 &amp; 2 \\\\[1.1ex] -1 &amp; 1 \\end{pmatrix} =\\begin{pmatrix} -5 &amp; 2 \\\\[1.1ex] -1 &amp;  -5 \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"403\" 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 \u0646\u062d\u0633\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-f95589f39821fada84cb5b3d4ba91a46_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^4 :\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"30\" 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-bbc2ad8229ee141b323c9bbcc9df00fd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^4= A^3 \\cdot A = \\begin{pmatrix} -5 &amp; 2 \\\\[1.1ex] -1 &amp;  -5 \\end{pmatrix} \\cdot \\begin{pmatrix} 1 &amp; 2 \\\\[1.1ex] -1 &amp; 1 \\end{pmatrix} = \\begin{pmatrix} \\bm{-7} &amp; \\bm{-8} \\\\[1.1ex] \\bm{4} &amp;  \\bm{-7} \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"403\" 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<h3 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\">\u062a\u0645\u0631\u064a\u0646 2<\/h3>\n<p style=\";text-align:right;direction:rtl\"> \u0627\u0644\u0646\u0638\u0631 \u0641\u064a \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-33db03560b5c28f45eef9aa293484603_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A=\\begin{pmatrix} 1 &amp; 0 \\\\[1.1ex] 0 &amp; 3  \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"95\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0627\u062d\u0633\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-6f350af4394f9224a8a2d726ed6ed0aa_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^{35}\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"27\" 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 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-6f350af4394f9224a8a2d726ed6ed0aa_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^{35}\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"27\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0625\u0646\u0647\u0627 \u0642\u0648\u0629 \u0643\u0628\u064a\u0631\u0629 \u062c\u062f\u064b\u0627 \u0628\u062d\u064a\u062b \u0644\u0627 \u064a\u0645\u0643\u0646 \u062d\u0633\u0627\u0628\u0647\u0627 \u064a\u062f\u0648\u064a\u064b\u0627\u060c \u0644\u0630\u0644\u0643 \u064a\u062c\u0628 \u0623\u0646 \u062a\u062a\u0628\u0639 \u0642\u0648\u0649 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u0646\u0645\u0637\u064b\u0627 \u0645\u0627. \u0644\u0630\u0644\u0643 \u062f\u0639\u0648\u0646\u0627 \u0646\u062d\u0633\u0628<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-0678e990fe5d8fe1614d53eb51816f13_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^5\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"20\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0644\u0645\u062d\u0627\u0648\u0644\u0629 \u0641\u0647\u0645 \u0627\u0644\u062a\u0633\u0644\u0633\u0644 \u0627\u0644\u0630\u064a \u064a\u062a\u0628\u0639\u0648\u0646\u0647: <\/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-cb9646cc984d754d2a618e6223e93cd3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^2= A \\cdot A = \\begin{pmatrix} 1 &amp; 0 \\\\[1.1ex] 0 &amp; 3 \\end{pmatrix} \\cdot \\begin{pmatrix}1 &amp; 0 \\\\[1.1ex] 0 &amp; 3 \\end{pmatrix} = \\begin{pmatrix} 1 &amp; 0 \\\\[1.1ex] 0 &amp; 9 \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"326\" 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-22fdee28399b9115de98a214ba0c8473_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^3= A^2 \\cdot A = \\begin{pmatrix} 1 &amp; 0 \\\\[1.1ex] 0 &amp; 9 \\end{pmatrix} \\cdot \\begin{pmatrix}1 &amp; 0 \\\\[1.1ex] 0 &amp; 3 \\end{pmatrix} = \\begin{pmatrix} 1 &amp; 0 \\\\[1.1ex] 0 &amp; 27 \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"343\" 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-1a085a2338ce1e74885ca04bbd0011a7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^4= A^3 \\cdot A = \\begin{pmatrix}1 &amp; 0 \\\\[1.1ex] 0 &amp; 27 \\end{pmatrix} \\cdot \\begin{pmatrix}1 &amp; 0 \\\\[1.1ex] 0 &amp; 3 \\end{pmatrix} = \\begin{pmatrix} 1 &amp; 0 \\\\[1.1ex] 0 &amp; 81 \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"351\" 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-3dc357146829da8323a0755fa16a8ca8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^5= A^4 \\cdot A = \\begin{pmatrix}1 &amp; 0 \\\\[1.1ex] 0 &amp; 81 \\end{pmatrix} \\cdot \\begin{pmatrix}1 &amp; 0 \\\\[1.1ex] 0 &amp; 3 \\end{pmatrix} = \\begin{pmatrix} 1 &amp; 0 \\\\[1.1ex] 0 &amp; 243 \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"360\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0628\u0647\u0630\u0647 \u0627\u0644\u0637\u0631\u064a\u0642\u0629 \u064a\u0645\u0643\u0646\u0646\u0627 \u0623\u0646 \u0646\u0631\u0649 \u0627\u0644\u0646\u0645\u0637 \u0627\u0644\u0630\u064a \u062a\u062a\u0628\u0639\u0647 \u0627\u0644\u0642\u0648\u0649: \u0639\u0646\u062f \u0643\u0644 \u0642\u0648\u0629\u060c \u062a\u0638\u0644 \u062c\u0645\u064a\u0639 \u0627\u0644\u0623\u0631\u0642\u0627\u0645 \u0643\u0645\u0627 \u0647\u064a\u060c \u0628\u0627\u0633\u062a\u062b\u0646\u0627\u0621 \u0627\u0644\u0639\u0646\u0635\u0631 \u0627\u0644\u0645\u0648\u062c\u0648\u062f \u0641\u064a \u0627\u0644\u0639\u0645\u0648\u062f \u0627\u0644\u062b\u0627\u0646\u064a \u0645\u0646 \u0627\u0644\u0635\u0641 \u0627\u0644\u062b\u0627\u0646\u064a\u060c \u0648\u0627\u0644\u0630\u064a \u064a\u062a\u0645 \u0636\u0631\u0628\u0647 \u0628\u0640 3. \u0644\u0630\u0644\u0643\u060c <strong>\u062a\u0638\u0644 \u062c\u0645\u064a\u0639 \u0627\u0644\u0623\u0631\u0642\u0627\u0645 \u0643\u0645\u0627 \u0647\u064a \u062f\u0627\u0626\u0645\u064b\u0627. \u0648\u0627\u0644\u0639\u0646\u0635\u0631 \u0627\u0644\u0623\u062e\u064a\u0631 \u0647\u0648 \u0642\u0648\u0629 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-a0bfa34768808832e0fd5d3f730eb27b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A=\\begin{pmatrix} 1 &amp; 0 \\\\[1.1ex] 0 &amp; 3 \\end{pmatrix}=\\begin{pmatrix} 1 &amp; 0 \\\\[1.1ex] 0 &amp; 3^1 \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"188\" 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-f6e007f5ad5d38fd887d39f00bd2b9fc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^2=\\begin{pmatrix} 1 &amp; 0 \\\\[1.1ex] 0 &amp; 9 \\end{pmatrix}=\\begin{pmatrix} 1 &amp; 0 \\\\[1.1ex] 0 &amp; 3^2 \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"196\" 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-585d8a00f418b50f60b4f95d87c5839c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^3=\\begin{pmatrix} 1 &amp; 0 \\\\[1.1ex] 0 &amp; 27 \\end{pmatrix}=\\begin{pmatrix} 1 &amp; 0 \\\\[1.1ex] 0 &amp; 3^3 \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"205\" 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-dec6b9db4b59d9759adf85cee442cca3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^4=\\begin{pmatrix} 1 &amp; 0 \\\\[1.1ex] 0 &amp; 81 \\end{pmatrix}=\\begin{pmatrix} 1 &amp; 0 \\\\[1.1ex] 0 &amp; 3^4 \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"205\" 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-f7244b46950df4d9107cbdb7ad004e17_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^5=\\begin{pmatrix} 1 &amp; 0 \\\\[1.1ex] 0 &amp; 243 \\end{pmatrix}=\\begin{pmatrix} 1 &amp; 0 \\\\[1.1ex] 0 &amp; 3^5 \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"214\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0625\u0630\u0646 \u0635\u064a\u063a\u0629 <strong>\u0627\u0644\u0642\u0648\u0629 \u0627\u0644\u0646\u0648\u0646\u064a\u0629 \u0644\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-36386dbc4f20fb573357a406ce713887_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle 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-beec2f1ed3e47902de0f25fe1901e294_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^n=\\begin{pmatrix} 1 &amp; 0 \\\\[1.1ex] 0 &amp; 3^n\\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"113\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0648\u0645\u0646 \u0647\u0630\u0647 \u0627\u0644\u0635\u064a\u063a\u0629 \u064a\u0645\u0643\u0646\u0646\u0627 \u0627\u0644\u062d\u0633\u0627\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-c4057ee894404b505d020a186733732e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^{35}:\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"37\" 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-aa3261646ca7bfa41f8ad46331a0af4b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\bm{A^{35}=}\\begin{pmatrix} \\bm{1} &amp; \\bm{0} \\\\[1.1ex] \\bm{0} &amp; \\bm{3^{35}}\\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-end otfm-sp_end\" style=\";text-align:right;direction:rtl\"><\/div>\n<h3 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\">\u0627\u0644\u062a\u0645\u0631\u064a\u0646 3<\/h3>\n<p style=\";text-align:right;direction:rtl\"> \u062e\u0630 \u0628\u0639\u064a\u0646 \u0627\u0644\u0627\u0639\u062a\u0628\u0627\u0631 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 3\u00d73 \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-f11fe8a7dcd1e308faa0af24eee3f362_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A=\\begin{pmatrix} 1 &amp; \\frac{1}{5}  &amp; \\frac{1}{5} \\\\[1.1ex] 0 &amp; 1  &amp; 0 \\\\[1.1ex] 0 &amp; 0  &amp; 1 \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"85\" width=\"126\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0627\u062d\u0633\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-a99c928415cd39eb81240e79778e41df_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^{100}\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"34\" 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 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-a99c928415cd39eb81240e79778e41df_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^{100}\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"34\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0625\u0646\u0647\u0627 \u0642\u0648\u0629 \u0643\u0628\u064a\u0631\u0629 \u062c\u062f\u064b\u0627 \u0628\u062d\u064a\u062b \u0644\u0627 \u064a\u0645\u0643\u0646 \u062d\u0633\u0627\u0628\u0647\u0627 \u064a\u062f\u0648\u064a\u064b\u0627\u060c \u0644\u0630\u0644\u0643 \u064a\u062c\u0628 \u0623\u0646 \u062a\u062a\u0628\u0639 \u0642\u0648\u0649 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u0646\u0645\u0637\u064b\u0627 \u0645\u0627. \u0644\u0630\u0644\u0643 \u062f\u0639\u0648\u0646\u0627 \u0646\u062d\u0633\u0628<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-0678e990fe5d8fe1614d53eb51816f13_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^5\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"20\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0644\u0645\u062d\u0627\u0648\u0644\u0629 \u0641\u0647\u0645 \u0627\u0644\u062a\u0633\u0644\u0633\u0644 \u0627\u0644\u0630\u064a \u064a\u062a\u0628\u0639\u0648\u0646\u0647: <\/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-acb15d7f461d11e3668bc0b96a1fdc06_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^2= A \\cdot A = \\begin{pmatrix} 1 &amp; \\frac{1}{5}  &amp; \\frac{1}{5} \\\\[1.1ex] 0 &amp; 1  &amp; 0 \\\\[1.1ex] 0 &amp; 0  &amp; 1 \\end{pmatrix} \\cdot \\begin{pmatrix}1 &amp; \\frac{1}{5}  &amp; \\frac{1}{5} \\\\[1.1ex] 0 &amp; 1  &amp; 0 \\\\[1.1ex] 0 &amp; 0  &amp; 1 \\end{pmatrix} =  \\begin{pmatrix} 1 &amp; \\frac{2}{5}   &amp; \\frac{2}{5} \\\\[1.1ex] 0 &amp; 1  &amp; 0 \\\\[1.1ex] 0 &amp; 0  &amp; 1 \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"85\" width=\"421\" 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-f416625ded948830fa80799249c12608_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^3= A^2 \\cdot A = \\begin{pmatrix} 1 &amp; \\frac{2}{5}   &amp; \\frac{2}{5} \\\\[1.1ex] 0 &amp; 1  &amp; 0 \\\\[1.1ex] 0 &amp; 0  &amp; 1\\end{pmatrix} \\cdot \\begin{pmatrix}1 &amp; \\frac{1}{5}  &amp; \\frac{1}{5} \\\\[1.1ex] 0 &amp; 1  &amp; 0 \\\\[1.1ex] 0 &amp; 0  &amp; 1 \\end{pmatrix} = \\begin{pmatrix} 1 &amp; \\frac{3}{5}   &amp; \\frac{3}{5} \\\\[1.1ex] 0 &amp; 1  &amp; 0 \\\\[1.1ex] 0 &amp; 0  &amp; 1 \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"85\" width=\"429\" 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-a76fd60051b157f06c2a731ff575d1e5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^4= A^3 \\cdot A = \\begin{pmatrix} 1 &amp; \\frac{3}{5}   &amp; \\frac{3}{5} \\\\[1.1ex] 0 &amp; 1  &amp; 0 \\\\[1.1ex] 0 &amp; 0  &amp; 1\\end{pmatrix} \\cdot \\begin{pmatrix}1 &amp; \\frac{1}{5}  &amp; \\frac{1}{5} \\\\[1.1ex] 0 &amp; 1  &amp; 0 \\\\[1.1ex] 0 &amp; 0  &amp; 1 \\end{pmatrix} =  \\begin{pmatrix} 1 &amp; \\frac{4}{5}   &amp; \\frac{4}{5} \\\\[1.1ex] 0 &amp; 1  &amp; 0 \\\\[1.1ex] 0 &amp; 0  &amp; 1 \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"85\" width=\"429\" 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-3409c7b8d82ffd21cc084a12405fce74_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^5= A^4 \\cdot A = \\begin{pmatrix} 1 &amp; \\frac{4}{5}   &amp; \\frac{4}{5} \\\\[1.1ex] 0 &amp; 1  &amp; 0 \\\\[1.1ex] 0 &amp; 0  &amp; 1\\end{pmatrix} \\cdot \\begin{pmatrix}1 &amp; \\frac{1}{5}  &amp; \\frac{1}{5} \\\\[1.1ex] 0 &amp; 1  &amp; 0 \\\\[1.1ex] 0 &amp; 0  &amp; 1 \\end{pmatrix} =  \\begin{pmatrix} 1 &amp; \\frac{5}{5}   &amp; \\frac{5}{5} \\\\[1.1ex] 0 &amp; 1  &amp; 0 \\\\[1.1ex] 0 &amp; 0  &amp; 1 \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"85\" width=\"429\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0628\u0647\u0630\u0647 \u0627\u0644\u0637\u0631\u064a\u0642\u0629 \u064a\u0645\u0643\u0646\u0646\u0627 \u0623\u0646 \u0646\u0631\u0649 \u0627\u0644\u0646\u0645\u0637 \u0627\u0644\u0630\u064a \u062a\u062a\u0628\u0639\u0647 \u0627\u0644\u0642\u0648\u0649: \u0639\u0646\u062f \u0643\u0644 \u0642\u0648\u0629\u060c \u062a\u0638\u0644 \u062c\u0645\u064a\u0639 \u0627\u0644\u0623\u0631\u0642\u0627\u0645 \u0643\u0645\u0627 \u0647\u064a\u060c \u0628\u0627\u0633\u062a\u062b\u0646\u0627\u0621 \u0627\u0644\u0643\u0633\u0648\u0631\u060c \u0627\u0644\u062a\u064a <strong>\u062a\u0632\u064a\u062f \u0628\u0645\u0642\u062f\u0627\u0631 \u0648\u0627\u062d\u062f \u0641\u064a \u0627\u0644\u0628\u0633\u0637:<\/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-86c72aa2b21e7a68bbebfe7af5daa420_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A=\\begin{pmatrix} 1 &amp; \\frac{1}{5}   &amp; \\frac{1}{5} \\\\[1.1ex] 0 &amp; 1  &amp; 0 \\\\[1.1ex] 0 &amp; 0  &amp; 1 \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"85\" width=\"126\" 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-ce805455e49bf018f8f22588391ac44c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^2= \\begin{pmatrix} 1 &amp; \\frac{2}{5}   &amp; \\frac{2}{5} \\\\[1.1ex] 0 &amp; 1  &amp; 0 \\\\[1.1ex] 0 &amp; 0  &amp; 1 \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"85\" width=\"134\" 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-bd5468ece9001274493687f3786b0af3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^3= \\begin{pmatrix} 1 &amp; \\frac{3}{5}   &amp; \\frac{3}{5} \\\\[1.1ex] 0 &amp; 1  &amp; 0 \\\\[1.1ex] 0 &amp; 0  &amp; 1 \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"85\" width=\"134\" 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-07fd0e03c0163b58fffbe0235009fd8e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^4= \\begin{pmatrix} 1 &amp; \\frac{4}{5}   &amp; \\frac{4}{5} \\\\[1.1ex] 0 &amp; 1  &amp; 0 \\\\[1.1ex] 0 &amp; 0  &amp; 1 \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"85\" width=\"134\" 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-5ea88723757d1f2d8d6de1ac2d3843c7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^5= \\begin{pmatrix} 1 &amp; \\frac{5}{5}   &amp; \\frac{5}{5} \\\\[1.1ex] 0 &amp; 1  &amp; 0 \\\\[1.1ex] 0 &amp; 0  &amp; 1 \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"85\" width=\"134\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0625\u0630\u0646 \u0635\u064a\u063a\u0629 <strong>\u0642\u0648\u0629 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 <strong>n<\/strong><\/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-36386dbc4f20fb573357a406ce713887_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle 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-56308ff348d67ba1aba5816d85e9ee1c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^n= \\begin{pmatrix} 1 &amp; \\frac{n}{5}   &amp; \\frac{n}{5} \\\\[1.1ex] 0 &amp; 1  &amp; 0 \\\\[1.1ex] 0 &amp; 0  &amp; 1 \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"85\" width=\"138\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0648\u0645\u0646 \u0647\u0630\u0647 \u0627\u0644\u0635\u064a\u063a\u0629 \u064a\u0645\u0643\u0646\u0646\u0627 \u0627\u0644\u062d\u0633\u0627\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-d22628ae2f8152f9817b84fa09c97d6e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^{100}:\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"44\" 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-5352f021f5ab30e999c57f978ff55ad6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^{100}=   \\begin{pmatrix} 1 &amp; \\frac{100}{5}   &amp; \\frac{100}{5} \\\\[1.1ex] 0 &amp; 1  &amp; 0 \\\\[1.1ex] 0 &amp; 0  &amp; 1 \\end{pmatrix}= \\begin{pmatrix} \\bm{1} &amp; \\bm{20}   &amp; \\bm{20} \\\\[1.1ex] \\bm{0} &amp; \\bm{1}  &amp; \\bm{0} \\\\[1.1ex] \\bm{0} &amp; \\bm{0}  &amp; \\bm{1} \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"85\" width=\"307\" 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-118\" style=\";text-align:right;direction:rtl\"><\/div>\n<\/div>\n<h3 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"> \u0627\u0644\u062a\u0645\u0631\u064a\u0646 4<\/h3>\n<p style=\";text-align:right;direction:rtl\"> \u062e\u0630 \u0628\u0639\u064a\u0646 \u0627\u0644\u0627\u0639\u062a\u0628\u0627\u0631 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u062a\u0627\u0644\u064a\u0629 \u0630\u0627\u062a \u0627\u0644\u062d\u062c\u0645 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-4609248b534d656aa9495b58f42e343f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A=\\begin{pmatrix} 0 &amp; -1 \\\\[1.1ex] 1 &amp; 0 \\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\"> \u0627\u062d\u0633\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-4f8edde6fcaa57b102140f3d4437f95b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^{201}\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"33\" 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 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-4f8edde6fcaa57b102140f3d4437f95b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^{201}\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"33\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0625\u0646\u0647\u0627 \u0642\u0648\u0629 \u0643\u0628\u064a\u0631\u0629 \u062c\u062f\u064b\u0627 \u0628\u062d\u064a\u062b \u0644\u0627 \u064a\u0645\u0643\u0646 \u062d\u0633\u0627\u0628\u0647\u0627 \u064a\u062f\u0648\u064a\u064b\u0627\u060c \u0644\u0630\u0644\u0643 \u064a\u062c\u0628 \u0623\u0646 \u062a\u062a\u0628\u0639 \u0642\u0648\u0649 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u0646\u0645\u0637\u064b\u0627 \u0645\u0627. \u0641\u064a \u0647\u0630\u0647 \u0627\u0644\u062d\u0627\u0644\u0629\u060c \u0644\u0627 \u0628\u062f \u0645\u0646 \u062d\u0633\u0627\u0628<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-8f4a7b26a48a1e57dc08ef4c8c662af6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^{8}\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"20\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0644\u0645\u0639\u0631\u0641\u0629 \u0627\u0644\u062a\u0633\u0644\u0633\u0644 \u0627\u0644\u0630\u064a \u064a\u062a\u0628\u0639\u0648\u0646\u0647: <\/p>\n<p class=\"has-text-align-center\" style=\";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-c9a1fb4cf8bb75cf02d76a26054e6bfa_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^2= A \\cdot A = \\begin{pmatrix} 0 &amp; -1 \\\\[1.1ex] 1 &amp; 0 \\end{pmatrix} \\cdot \\begin{pmatrix} 0 &amp; -1 \\\\[1.1ex] 1 &amp; 0 \\end{pmatrix} = \\begin{pmatrix} -1 &amp; 0 \\\\[1.1ex] 0 &amp; -1 \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"381\" 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-110c4b30c78811cafdd4234e128ed414_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^3= A^2 \\cdot A = \\begin{pmatrix} -1 &amp; 0 \\\\[1.1ex] 0 &amp; -1 \\end{pmatrix} \\cdot \\begin{pmatrix} 0 &amp; -1 \\\\[1.1ex] 1 &amp; 0 \\end{pmatrix} = \\begin{pmatrix} 0 &amp; 1 \\\\[1.1ex] -1 &amp; 0 \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"389\" 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-2b1976bbdf3c1daa9d75497efc07975c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^4= A^3 \\cdot A = \\begin{pmatrix}0 &amp; 1 \\\\[1.1ex] -1 &amp; 0 \\end{pmatrix} \\cdot \\begin{pmatrix} 0 &amp; -1 \\\\[1.1ex] 1 &amp; 0 \\end{pmatrix} = \\begin{pmatrix} 1 &amp; 0 \\\\[1.1ex] 0 &amp; 1 \\end{pmatrix} = \\bm{I}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"398\" 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-e0266d832a2fc0a04c9f6582dc231d57_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^5= A^4 \\cdot A = \\begin{pmatrix} 1 &amp; 0 \\\\[1.1ex] 0 &amp; 1\\end{pmatrix} \\cdot \\begin{pmatrix} 0 &amp; -1 \\\\[1.1ex] 1 &amp; 0 \\end{pmatrix} = \\begin{pmatrix} 0 &amp; -1 \\\\[1.1ex] 1 &amp; 0 \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"361\" 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-21dea9844b7bfdb990bbb2bc955c866e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^6= A^5 \\cdot A = \\begin{pmatrix} 0 &amp; -1 \\\\[1.1ex] 1 &amp; 0 \\end{pmatrix} \\cdot \\begin{pmatrix} 0 &amp; -1 \\\\[1.1ex] 1 &amp; 0 \\end{pmatrix} = \\begin{pmatrix} -1 &amp; 0 \\\\[1.1ex] 0 &amp; -1 \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"389\" 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-788e75a71c1dfe4a60f0e52960715efe_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^7= A^6 \\cdot A = \\begin{pmatrix} -1 &amp; 0 \\\\[1.1ex] 0 &amp; -1 \\end{pmatrix} \\cdot \\begin{pmatrix} 0 &amp; -1 \\\\[1.1ex] 1 &amp; 0 \\end{pmatrix} = \\begin{pmatrix} 0 &amp; 1 \\\\[1.1ex] -1 &amp; 0 \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"389\" 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-4947286a163847383e3735a508b0037d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^8= A^7 \\cdot A = \\begin{pmatrix}0 &amp; 1 \\\\[1.1ex] -1 &amp; 0 \\end{pmatrix} \\cdot \\begin{pmatrix} 0 &amp; -1 \\\\[1.1ex] 1 &amp; 0 \\end{pmatrix} = \\begin{pmatrix} 1 &amp; 0 \\\\[1.1ex] 0 &amp; 1 \\end{pmatrix} = \\bm{I}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"398\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0628\u0647\u0630\u0647 \u0627\u0644\u062d\u0633\u0627\u0628\u0627\u062a \u064a\u0645\u0643\u0646\u0646\u0627 \u0623\u0646 \u0646\u0631\u0649 \u0623\u0646 \u0643\u0644 4 \u0642\u0648\u0649 \u0646\u062d\u0635\u0644 \u0639\u0644\u064a\u0647\u0627 \u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u0647\u0648\u064a\u0629. \u0648\u0647\u0630\u0627 \u064a\u0639\u0646\u064a \u0623\u0646\u0647 \u0633\u064a\u0639\u0637\u064a\u0646\u0627 \u0646\u062a\u064a\u062c\u0629 \u0644\u0630\u0644\u0643 \u0645\u0635\u0641\u0648\u0641\u0629 \u0647\u0648\u064a\u0629 \u0627\u0644\u0642\u0648\u0649<\/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-2589110bbf0eae4fa44ef48ab7b0f416_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^4\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"20\" style=\"vertical-align: 0px;\"><\/p>\n<p> ,<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-b6df3f4d3068241a434e489e7f1d655e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^8\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"20\" style=\"vertical-align: 0px;\"><\/p>\n<p> ,<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-d390d2dcb2acd63a2b3af76fa1451d29_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^{12}\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"27\" style=\"vertical-align: 0px;\"><\/p>\n<p> ,<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-26e32d520eee6a2f5c39f1d6de0c9ffc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^{16}\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"27\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u060c\u2026 \u0644\u0630\u0627 \u0627\u062d\u0633\u0628<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-4f8edde6fcaa57b102140f3d4437f95b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^{201}\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"33\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u064a\u062c\u0628 \u0639\u0644\u064a\u0646\u0627 \u062a\u062d\u0644\u064a\u0644 201 \u0625\u0644\u0649 \u0645\u0636\u0627\u0639\u0641\u0627\u062a 4: <\/p>\n<figure class=\"wp-block-image aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/exercice-etape-par-etape-puissance-dune-matrice.webp\" alt=\"\u062a\u0645\u0631\u064a\u0646 \u062a\u0645 \u062d\u0644\u0647 \u062e\u0637\u0648\u0629 \u0628\u062e\u0637\u0648\u0629 \u0644\u0642\u0648\u0649 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0627\u062a 2x2 \u0648\u0627\u0644\u0642\u0648\u0629 n\" class=\"wp-image-327\" width=\"416\" height=\"160\" srcset=\"\" sizes=\"auto, \"><\/figure>\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-3c705236856598d218f071b1ca9a370d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle 201= 4 \\cdot 50 +1\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"119\" style=\"vertical-align: -2px;\"><\/p>\n<p> \u060c\u062d\u062a\u0649 \u0627\u0644\u0622\u0646\u060c<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-01a8a8f62467b5a911593c44559f2dc6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"A^{201}\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"33\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0633\u064a\u0643\u0648\u0646 50 \u0645\u0631\u0629<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-1483b12f3e81520e751acccec37f9c21_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^{4}\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"20\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0648 \u0644\u0645\u0631\u0629 \u0648\u0627\u062d\u062f\u0629<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-3937de4ff8cc137d41d4ac1bbccf561c_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>\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-0e169084d9ac06e6c2895a2b1f4be3f7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^{201}=\\left(A^4 \\right)^{50} \\cdot A^1\" title=\"Rendered by QuickLaTeX.com\" height=\"27\" width=\"142\" style=\"vertical-align: -7px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0648\u0643\u064a\u0641 \u0646\u0639\u0631\u0641 \u0630\u0644\u0643<\/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-2589110bbf0eae4fa44ef48ab7b0f416_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^4\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"20\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0647\u064a \u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u0647\u0648\u064a\u0629 <\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-867357beec26a26d9d9b4af01b8086e7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle I :\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"18\" 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-e3f630d4fa8da50f18be6835617a6982_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^4 =I\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"54\" 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-29c53c0280332f200d37936b211faf39_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^{201}=\\left(A^4 \\right)^{50} \\cdot A^1 = I^{50}\\cdot A\" title=\"Rendered by QuickLaTeX.com\" height=\"27\" width=\"217\" style=\"vertical-align: -7px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0639\u0644\u0627\u0648\u0629 \u0639\u0644\u0649 \u0630\u0644\u0643\u060c \u0641\u0625\u0646 \u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u0647\u0648\u064a\u0629 \u0627\u0644\u0645\u0631\u0641\u0648\u0639\u0629 \u0625\u0644\u0649 \u0623\u064a \u0631\u0642\u0645 \u062a\u0639\u0637\u064a \u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u0647\u0648\u064a\u0629. \u062d\u062a\u0649 \u0627\u0644\u0622\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-f0748e850cbae2f5a2d9eb797e27641b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^{201}= I^{50}\\cdot A = I \\cdot A\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"167\" 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 \u0623\u064a \u0645\u0635\u0641\u0648\u0641\u0629 \u0645\u0636\u0631\u0648\u0628\u0629 \u0641\u064a \u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u0647\u0648\u064a\u0629 \u062a\u0639\u0637\u064a \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u0646\u0641\u0633\u0647\u0627. \u0644\u0630\u0627:<\/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-c88ebfbbdcc01a0cbdcf840aba32313e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^{201}= I \\cdot A = A\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"130\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0644\u0645\u0627\u0630\u0627<\/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-01a8a8f62467b5a911593c44559f2dc6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"A^{201}\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"33\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0645\u0633\u0627\u0648\u064a \u0644 <\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-944477c7f7578892a57aa3b7c7dd8268_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"A:\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"22\" 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-1214abe876a5aede8fbbce79009d5dbc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^{201}= A =\\begin{pmatrix} \\bm{0} &amp; \\bm{-1} \\\\[1.1ex] \\bm{1} &amp; \\bm{0} \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"167\" 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<h3 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\">\u0627\u0644\u062a\u0645\u0631\u064a\u0646 5<\/h3>\n<p style=\";text-align:right;direction:rtl\"> \u062e\u0630 \u0628\u0639\u064a\u0646 \u0627\u0644\u0627\u0639\u062a\u0628\u0627\u0631 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u062a\u0627\u0644\u064a\u0629 \u0645\u0646 \u0627\u0644\u062a\u0631\u062a\u064a\u0628 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-b8f3ba8b2d15b622f99774be05aa2620_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A=\\begin{pmatrix} 3 &amp; 4 &amp; -1 \\\\[1.1ex] -2 &amp; -3 &amp; 1 \\\\[1.1ex] -2 &amp; -3 &amp; 0 \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"85\" width=\"164\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0627\u062d\u0633\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-bd886e003dc8d850cca00cfe4d00ed4a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^{62}\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"27\" 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\u0646 \u0627\u0644\u0648\u0627\u0636\u062d\u060c \u062d\u0633\u0627\u0628 \u0642\u0648\u0629 \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-bd886e003dc8d850cca00cfe4d00ed4a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^{62}\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"27\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0647\u0630\u0647 \u0639\u0645\u0644\u064a\u0629 \u062d\u0633\u0627\u0628\u064a\u0629 \u0643\u0628\u064a\u0631\u0629 \u062c\u062f\u064b\u0627 \u0628\u062d\u064a\u062b \u0644\u0627 \u064a\u0645\u0643\u0646 \u0625\u062c\u0631\u0627\u0624\u0647\u0627 \u064a\u062f\u0648\u064a\u064b\u0627\u060c \u0644\u0630\u0627 \u064a\u062c\u0628 \u0623\u0646 \u062a\u062a\u0628\u0639 \u0642\u0648\u0649 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u0646\u0645\u0637\u064b\u0627 \u0645\u0627. \u0641\u064a \u0647\u0630\u0647 \u0627\u0644\u062d\u0627\u0644\u0629\u060c \u0644\u0627 \u0628\u062f \u0645\u0646 \u062d\u0633\u0627\u0628<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-b9dcf97a16a30b4167b19a2313ee060c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^{6}\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"20\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0644\u0645\u0639\u0631\u0641\u0629 \u0627\u0644\u062a\u0633\u0644\u0633\u0644 \u0627\u0644\u0630\u064a \u064a\u062a\u0628\u0639\u0648\u0646\u0647: <\/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-4032b55d68a5615911a5b7c997b05e6f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^2= A \\cdot A = \\begin{pmatrix}3 &amp; 4 &amp; -1 \\\\[1.1ex] -2 &amp; -3 &amp; 1 \\\\[1.1ex] -2 &amp; -3 &amp; 0 \\end{pmatrix} \\cdot \\begin{pmatrix} 3 &amp; 4 &amp; -1 \\\\[1.1ex] -2 &amp; -3 &amp; 1 \\\\[1.1ex] -2 &amp; -3 &amp; 0 \\end{pmatrix} = \\begin{pmatrix} 3 &amp; 3 &amp; 1 \\\\[1.1ex] -2 &amp; -2 &amp; -1 \\\\[1.1ex] 0 &amp; 1 &amp; -1 \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"85\" width=\"534\" 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-8b5deef2a7728c5e82e1a1dafb1a939c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^3= A^2 \\cdot A = \\begin{pmatrix}3 &amp; 3 &amp; 1 \\\\[1.1ex] -2 &amp; -2 &amp; -1 \\\\[1.1ex] 0 &amp; 1 &amp; -1\\end{pmatrix} \\cdot \\begin{pmatrix} 3 &amp; 4 &amp; -1 \\\\[1.1ex] -2 &amp; -3 &amp; 1 \\\\[1.1ex] -2 &amp; -3 &amp; 0 \\end{pmatrix} = \\begin{pmatrix} 1 &amp; 0 &amp; 0 \\\\[1.1ex] 0 &amp; 1 &amp; 0 \\\\[1.1ex] 0 &amp; 0 &amp; 1 \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"85\" width=\"500\" 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-f62e856d037138b2ead39b17ccebf96d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^4= A^3 \\cdot A = \\begin{pmatrix}1 &amp; 0 &amp; 0 \\\\[1.1ex] 0 &amp; 1 &amp; 0 \\\\[1.1ex] 0 &amp; 0 &amp; 1 \\end{pmatrix} \\cdot \\begin{pmatrix} 3 &amp; 4 &amp; -1 \\\\[1.1ex] -2 &amp; -3 &amp; 1 \\\\[1.1ex] -2 &amp; -3 &amp; 0 \\end{pmatrix} = \\begin{pmatrix} 3 &amp; 4 &amp; -1 \\\\[1.1ex] -2 &amp; -3 &amp; 1 \\\\[1.1ex] -2 &amp; -3 &amp; 0 \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"85\" width=\"500\" 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-854da5c09b6662da46acb790afb6d01a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^5= A^4 \\cdot A = \\begin{pmatrix}3 &amp; 4 &amp; -1 \\\\[1.1ex] -2 &amp; -3 &amp; 1 \\\\[1.1ex] -2 &amp; -3 &amp; 0 \\end{pmatrix} \\cdot \\begin{pmatrix} 3 &amp; 4 &amp; -1 \\\\[1.1ex] -2 &amp; -3 &amp; 1 \\\\[1.1ex] -2 &amp; -3 &amp; 0 \\end{pmatrix} = \\begin{pmatrix} 3 &amp; 3 &amp; 1 \\\\[1.1ex] -2 &amp; -2 &amp; -1 \\\\[1.1ex] 0 &amp; 1 &amp; -1 \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"85\" width=\"541\" 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-c9f804a1c129e18d105fb92254c971fa_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^6= A^5 \\cdot A = \\begin{pmatrix}3 &amp; 3 &amp; 1 \\\\[1.1ex] -2 &amp; -2 &amp; -1 \\\\[1.1ex] 0 &amp; 1 &amp; -1\\end{pmatrix} \\cdot \\begin{pmatrix} 3 &amp; 4 &amp; -1 \\\\[1.1ex] -2 &amp; -3 &amp; 1 \\\\[1.1ex] -2 &amp; -3 &amp; 0 \\end{pmatrix} = \\begin{pmatrix} 1 &amp; 0 &amp; 0 \\\\[1.1ex] 0 &amp; 1 &amp; 0 \\\\[1.1ex] 0 &amp; 0 &amp; 1 \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"85\" width=\"500\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0628\u0647\u0630\u0647 \u0627\u0644\u062d\u0633\u0627\u0628\u0627\u062a \u064a\u0645\u0643\u0646\u0646\u0627 \u0623\u0646 \u0646\u0631\u0649 \u0623\u0646 \u0643\u0644 3 \u0642\u0648\u0649 \u0646\u062d\u0635\u0644 \u0639\u0644\u0649 \u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u0647\u0648\u064a\u0629. \u0648\u0647\u0630\u0627 \u064a\u0639\u0646\u064a \u0623\u0646\u0647 \u0633\u064a\u0639\u0637\u064a\u0646\u0627 \u0646\u062a\u064a\u062c\u0629 \u0644\u0630\u0644\u0643 \u0645\u0635\u0641\u0648\u0641\u0629 \u0647\u0648\u064a\u0629 \u0627\u0644\u0642\u0648\u0649<\/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-ca00633b1d21d63a177e78aed3846413_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^3\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"20\" style=\"vertical-align: 0px;\"><\/p>\n<p> ,<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-33a1b80dd4db27f09aa071e4b8bf01a0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^6\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"20\" style=\"vertical-align: 0px;\"><\/p>\n<p> ,<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-4c2f4eb36ca05968a81ef76d76e9275c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^{9}\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"20\" style=\"vertical-align: 0px;\"><\/p>\n<p> ,<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-d390d2dcb2acd63a2b3af76fa1451d29_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^{12}\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"27\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u060c\u2026 \u0644\u0643\u064a \u062a\u062d\u0633\u0628<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-bd886e003dc8d850cca00cfe4d00ed4a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^{62}\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"27\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u064a\u062c\u0628 \u0639\u0644\u064a\u0646\u0627 \u062a\u062d\u0644\u064a\u0644 62 \u0625\u0644\u0649 \u0645\u0636\u0627\u0639\u0641\u0627\u062a 3: <\/p>\n<figure class=\"wp-block-image aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/exercice-resolu-des-puissances-des-matrices-33.webp\" alt=\"\u062a\u0645\u0631\u064a\u0646 \u062a\u0645 \u062d\u0644\u0647 \u062e\u0637\u0648\u0629 \u0628\u062e\u0637\u0648\u0629 \u0644\u0642\u0648\u0629 \u0645\u0635\u0641\u0648\u0641\u0629 3x3\u060c \u0627\u0644\u0642\u0648\u0629 n\" class=\"wp-image-339\" width=\"394\" height=\"160\" srcset=\"\" sizes=\"auto, \"><\/figure>\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-f1ebd498146526b26797fc73174c6bef_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle 62= 3 \\cdot 20 +2\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"110\" style=\"vertical-align: -2px;\"><\/p>\n<p> \u060c\u062d\u062a\u0649 \u0627\u0644\u0622\u0646\u060c<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-bd886e003dc8d850cca00cfe4d00ed4a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^{62}\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"27\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0633\u064a\u0643\u0648\u0646 20 \u0645\u0631\u0629<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-6129a88e40a1a7fa3b922c8ef6ec57cc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^{3}\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"20\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0648 \u0644\u0645\u0631\u0629 \u0648\u0627\u062d\u062f\u0629<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-490432e07ef01473684f6a975567a3d6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^{2}:\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"30\" 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-db1749b0c96e2613326aa9bac2cbf651_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^{62}=\\left(A^3 \\right)^{20} \\cdot A^2\" title=\"Rendered by QuickLaTeX.com\" height=\"27\" width=\"136\" style=\"vertical-align: -7px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0648\u0643\u064a\u0641 \u0646\u0639\u0631\u0641 \u0630\u0644\u0643<\/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-ca00633b1d21d63a177e78aed3846413_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^3\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"20\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0647\u064a \u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u0647\u0648\u064a\u0629 <\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-867357beec26a26d9d9b4af01b8086e7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle I :\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"18\" 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-e4af75581d64edceeaa20edefbde7d8a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^3 =I\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"54\" 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-c885875cfd8f37ead41f1b9cae94a3f8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^{62}=\\left(A^3 \\right)^{20} \\cdot A^2 = I^{20}\\cdot A^2\" title=\"Rendered by QuickLaTeX.com\" height=\"27\" width=\"217\" style=\"vertical-align: -7px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0639\u0644\u0627\u0648\u0629 \u0639\u0644\u0649 \u0630\u0644\u0643\u060c \u0641\u0625\u0646 \u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u0647\u0648\u064a\u0629 \u0627\u0644\u0645\u0631\u0641\u0648\u0639\u0629 \u0625\u0644\u0649 \u0623\u064a \u0631\u0642\u0645 \u062a\u0639\u0637\u064a \u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u0647\u0648\u064a\u0629. \u062d\u062a\u0649 \u0627\u0644\u0622\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-a3175b230605c5218a3fc03c53cbd14b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^{62}= I^{20}\\cdot A^2 = I \\cdot A^2\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"175\" 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 \u0623\u064a \u0645\u0635\u0641\u0648\u0641\u0629 \u0645\u0636\u0631\u0648\u0628\u0629 \u0641\u064a \u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u0647\u0648\u064a\u0629 \u062a\u0639\u0637\u064a \u0646\u0641\u0633 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629. \u062d\u062a\u0649 \u0627\u0644\u0622\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-269a862d24453f1dff22c4599b6fa775_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^{62}= I \\cdot A^2 = A^2\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"138\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0644\u0645\u0627\u0630\u0627<\/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-23af6c06fb07a3267b3401415f6c0449_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"A^{62}\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"27\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0633\u064a\u0643\u0648\u0646 \u0645\u0633\u0627\u0648\u064a\u0627 \u0644<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-6e1844da717e117a743161ee5e453ae3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"A^{2}\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"20\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0648\u0627\u0644\u062a\u064a \u0642\u0645\u0646\u0627 \u0628\u062d\u0633\u0627\u0628 \u0627\u0644\u0646\u062a\u064a\u062c\u0629 \u0644\u0647\u0627 \u0633\u0627\u0628\u0642\u064b\u0627:<\/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-3f95e17aacde501ca1c28dbf14324f0b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^{62}= A^2=\\begin{pmatrix} \\bm{3} &amp; \\bm{3} &amp; \\bm{1} \\\\[1.1ex] \\bm{-2} &amp; \\bm{-2} &amp; \\bm{-1} \\\\[1.1ex] \\bm{0} &amp; \\bm{1} &amp; \\bm{-1} \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"85\" width=\"223\" 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<p style=\";text-align:right;direction:rtl\"> \u0625\u0630\u0627 \u0643\u0627\u0646\u062a \u0647\u0630\u0647 \u0627\u0644\u062a\u0645\u0627\u0631\u064a\u0646 \u0627\u0644\u0645\u062a\u0639\u0644\u0642\u0629 \u0628\u0642\u0648\u0649 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0627\u062a \u0627\u0644\u0645\u0631\u0628\u0639\u0629 \u0645\u0641\u064a\u062f\u0629 \u0644\u0643\u060c \u0641\u064a\u0645\u0643\u0646\u0643 \u0623\u064a\u0636\u064b\u0627 \u0627\u0644\u0639\u062b\u0648\u0631 \u0639\u0644\u0649 \u062a\u0645\u0627\u0631\u064a\u0646 \u0645\u062d\u0644\u0648\u0644\u0629 \u062e\u0637\u0648\u0629 \u0628\u062e\u0637\u0648\u0629 \u062d\u0648\u0644 \u062c\u0645\u0639 <a href=\"https:\/\/mathority.org\/ar\/\u0627\u0644\u062c\u0645\u0639-\u0648\u0627\u0644\u0637\u0631\u062d-\u0644\u0644\u0645\u0635\u0641\u0648\u0641\u0627\u062a-2x2-3x3-\u0627\u0654\u0645\u062b\u0644\u0629-\u062a\u0645\u0627\u0631\u064a\u0646-\u0645\u062d\u0644\u0648\u0644\u0629\/\">\u0648\u0637\u0631\u062d \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0627\u062a<\/a> \u060c \u0648\u0647\u064a \u0625\u062d\u062f\u0649 \u0627\u0644\u0639\u0645\u0644\u064a\u0627\u062a \u0627\u0644\u0623\u0643\u062b\u0631 \u0627\u0633\u062a\u062e\u062f\u0627\u0645\u064b\u0627 \u0645\u0639 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0627\u062a.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u0641\u064a \u0647\u0630\u0647 \u0627\u0644\u0635\u0641\u062d\u0629 \u0633\u0646\u0631\u0649 \u0643\u064a\u0641\u064a\u0629 \u062d\u0633\u0627\u0628 \u0642\u0648\u0649 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0627\u062a. \u0633\u062a\u062c\u062f \u0623\u064a\u0636\u064b\u0627 \u0623\u0645\u062b\u0644\u0629 \u0648\u062a\u0645\u0627\u0631\u064a\u0646 \u062a\u0645 \u062d\u0644\u0647\u0627 \u062e\u0637\u0648\u0629 \u0628\u062e\u0637\u0648\u0629 \u0644\u0642\u0648\u0649 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0627\u062a \u0648\u0627\u0644\u062a\u064a \u0633\u062a\u0633\u0627\u0639\u062f\u0643 \u0639\u0644\u0649 \u0641\u0647\u0645\u0647\u0627 \u0628\u0634\u0643\u0644 \u0645\u062b\u0627\u0644\u064a. \u0633\u0648\u0641 \u062a\u062a\u0639\u0644\u0645 \u0623\u064a\u0636\u064b\u0627 \u0645\u0627 \u0647\u064a \u0627\u0644\u0642\u0648\u0629 n \u0644\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u0648\u0643\u064a\u0641\u064a\u0629 \u0627\u0644\u0639\u062b\u0648\u0631 \u0639\u0644\u064a\u0647\u0627. \u0643\u064a\u0641 \u064a\u062a\u0645 \u062d\u0633\u0627\u0628 \u0642\u0648\u0629 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629\u061f \u0644\u062d\u0633\u0627\u0628 \u0642\u0648\u0629 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u060c \u064a\u062c\u0628 \u0639\u0644\u064a\u0643 \u0636\u0631\u0628 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u0641\u064a \u0646\u0641\u0633\u0647\u0627 \u0639\u062f\u0629 \u0645\u0631\u0627\u062a \u0643\u0645\u0627 \u064a\u0642\u0648\u0644 \u0627\u0644\u0623\u0633. &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/ar\/%d9%82%d9%88%d9%89-%d8%a7%d9%84%d9%85%d8%b5%d9%81%d9%88%d9%81%d8%a7%d8%aa-2x2-%d9%88-3x3-%d8%a3%d9%85%d8%ab%d9%84%d8%a9-%d9%88%d8%aa%d9%85%d8%a7%d8%b1%d9%8a%d9%86-%d9%85%d8%ad%d9%84%d9%88%d9%84%d8%a9\/\"> <span class=\"screen-reader-text\">\u0642\u0648\u0649 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629<\/span> \u0642\u0631\u0627\u0621\u0629 \u0627\u0644\u0645\u0632\u064a\u062f 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