{"id":308,"date":"2023-07-06T14:13:39","date_gmt":"2023-07-06T14:13:39","guid":{"rendered":"https:\/\/mathority.org\/ar\/%d8%a3%d9%85%d8%ab%d9%84%d8%a9-%d8%b9%d9%84%d9%89-%d8%a7%d9%84%d9%82%d9%88%d8%a7%d8%b9%d8%af-%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-%d9%84%d9%83%d8%b1%d8%a7\/"},"modified":"2023-07-06T14:13:39","modified_gmt":"2023-07-06T14:13:39","slug":"%d8%a3%d9%85%d8%ab%d9%84%d8%a9-%d8%b9%d9%84%d9%89-%d8%a7%d9%84%d9%82%d9%88%d8%a7%d8%b9%d8%af-%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-%d9%84%d9%83%d8%b1%d8%a7","status":"publish","type":"post","link":"https:\/\/mathority.org\/ar\/%d8%a3%d9%85%d8%ab%d9%84%d8%a9-%d8%b9%d9%84%d9%89-%d8%a7%d9%84%d9%82%d9%88%d8%a7%d8%b9%d8%af-%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-%d9%84%d9%83%d8%b1%d8%a7\/","title":{"rendered":"\u062d\u0643\u0645 \u0643\u0631\u064a\u0645\u0631"},"content":{"rendered":"<p style=\";text-align:right;direction:rtl\">\u0633\u062a\u0634\u0627\u0647\u062f \u0641\u064a \u0647\u0630\u0647 \u0627\u0644\u0635\u0641\u062d\u0629 \u0645\u0627 \u0647\u064a \u0642\u0627\u0639\u062f\u0629 \u0643\u0631\u0627\u0645\u0631\u060c \u0628\u0627\u0644\u0625\u0636\u0627\u0641\u0629 \u0625\u0644\u0649 \u0630\u0644\u0643\u060c \u0633\u062a\u062c\u062f \u0623\u0645\u062b\u0644\u0629 \u0648\u062a\u0645\u0627\u0631\u064a\u0646 \u0644\u062d\u0644 \u0623\u0646\u0638\u0645\u0629 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0645\u0646 \u062e\u0644\u0627\u0644 \u0642\u0627\u0639\u062f\u0629 \u0643\u0631\u0627\u0645\u0631.<\/p>\n<h2 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"> \u0645\u0627 \u0647\u064a \u0642\u0627\u0639\u062f\u0629 \u0643\u0631\u064a\u0645\u0631\u061f<\/h2>\n<p style=\";text-align:right;direction:rtl\"> <strong>\u0642\u0627\u0639\u062f\u0629 \u0643\u0631\u0627\u0645\u0631<\/strong> \u0647\u064a \u0637\u0631\u064a\u0642\u0629 \u062a\u0633\u062a\u062e\u062f\u0645 \u0644\u062d\u0644 \u0623\u0646\u0638\u0645\u0629 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0628\u0648\u0627\u0633\u0637\u0629 \u0627\u0644\u0645\u062d\u062f\u062f\u0627\u062a. \u062f\u0639\u0648\u0646\u0627 \u0646\u0631\u0649 \u0643\u064a\u0641 \u064a\u062a\u0645 \u0627\u0633\u062a\u062e\u062f\u0627\u0645\u0647:<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0627\u0644\u0646\u0638\u0631 \u0641\u064a \u0646\u0638\u0627\u0645 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0627\u062a:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-e0141f3451719f665ef28e4061489551_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{cases} ax+by+cz= \\color{red}\\bm{j} \\\\[1.5ex] dx+ey+fz=\\color{red}\\bm{k} \\\\[1.5ex] gx+hy+iz = \\color{red}\\bm{l} \\end{cases}\" title=\"Rendered by QuickLaTeX.com\" height=\"97\" width=\"171\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 A \u0648\u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u0645\u0648\u0633\u0639\u0629 A&#8217; \u0644\u0644\u0646\u0638\u0627\u0645 \u0647\u0645\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-1d628a13ec7de4b3ba7a301c0a5d8ac6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  A= \\left( \\begin{array}{ccc} a &amp; b &amp; c  \\\\[1.1ex] d &amp; e &amp; f  \\\\[1.1ex] g &amp; h &amp; i  \\end{array} \\right) \\qquad A'= \\left( \\begin{array}{ccc|c} a &amp; b &amp; c &amp;  \\color{red}\\bm{j}  \\\\[1.1ex] d &amp; e &amp; f &amp; \\color{red}\\bm{k} \\\\[1.1ex] g &amp; h &amp; i &amp; \\color{red}\\bm{l} \\end{array} \\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"85\" width=\"384\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u062a\u0646\u0635 <strong><span style=\"text-decoration: underline;\">\u0642\u0627\u0639\u062f\u0629 \u0643\u0631\u064a\u0645\u0631<\/span><\/strong> \u0639\u0644\u0649 \u0623\u0646 \u062d\u0644 \u0646\u0638\u0627\u0645 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0647\u0648: <\/p>\n<div class=\"wp-block-image\" style=\";text-align:right;direction:rtl\">\n<figure class=\"aligncenter size-full is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/quelle-est-la-regle-de-cramer.webp\" alt=\"\u0645\u0627 \u0647\u064a \u0642\u0627\u0639\u062f\u0629 \u0643\u0631\u0627\u0645\u0631\u060c \u0634\u0631\u062d \u0642\u0627\u0639\u062f\u0629 \u0643\u0631\u0627\u0645\u0631\" class=\"wp-image-1062\" width=\"677\" height=\"385\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p style=\";text-align:right;direction:rtl\"> \u0644\u0627\u062d\u0638 \u0623\u0646 \u0645\u062d\u062f\u062f\u0627\u062a \u0627\u0644\u0628\u0633\u0637\u064a\u0646 \u062a\u0634\u0628\u0647 \u0645\u062d\u062f\u062f\u0627\u062a \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 A \u0648\u0644\u0643\u0646 \u064a\u062a\u0645 \u062a\u063a\u064a\u064a\u0631 \u0639\u0645\u0648\u062f \u0643\u0644 \u0645\u062c\u0647\u0648\u0644 \u0625\u0644\u0649 \u0639\u0645\u0648\u062f \u0627\u0644\u062d\u062f\u0648\u062f \u0627\u0644\u0645\u0633\u062a\u0642\u0644\u0629.<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0648\u0644\u0630\u0644\u0643\u060c \u064a\u062a\u0645 \u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0642\u0627\u0639\u062f\u0629 \u0643\u0631\u0627\u0645\u0631 \u0644\u062d\u0644 \u0623\u0646\u0638\u0645\u0629 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0627\u0644\u062e\u0637\u064a\u0629. \u0648\u0644\u0643\u0646\u060c \u0643\u0645\u0627 \u062a\u0639\u0644\u0645\u0648\u0646\u060c \u0647\u0646\u0627\u0643 \u0627\u0644\u0639\u062f\u064a\u062f \u0645\u0646 \u0627\u0644\u0637\u0631\u0642 \u0644\u062d\u0644 \u0646\u0638\u0627\u0645 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0627\u062a\u060c \u0639\u0644\u0649 \u0633\u0628\u064a\u0644 \u0627\u0644\u0645\u062b\u0627\u0644 <a href=\"https:\/\/mathority.org\/ar\/\u0637\u0631\u064a\u0642\u0629-\u062c\u0648\u0631\u062f\u0646-\u062c\u0627\u0648\u0633-\u0645\u0639-\u0627\u0644\u0627\u0654\u0645\u062b\u0644\u0629-\u0648\u0627\u0644\u062a\u0645\u0627\u0631\u064a\u0646-\u0627\u0644\u0645\u062d\u0644\u0648\u0644\u0629\/\">\u0637\u0631\u064a\u0642\u0629 \u063a\u0627\u0648\u0633 \u062c\u0648\u0631\u062f\u0627\u0646<\/a> \u0645\u0639\u0631\u0648\u0641\u0629 \u062c\u064a\u062f\u0627\u064b.<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0641\u064a\u0645\u0627 \u064a\u0644\u064a \u0623\u0645\u062b\u0644\u0629 \u0644\u062d\u0644 \u0623\u0646\u0638\u0645\u0629 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0627\u0644\u062e\u0637\u064a\u0629 \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0642\u0627\u0639\u062f\u0629 \u0643\u0631\u0627\u0645\u0631\u060c \u0623\u0648 \u0623\u062d\u064a\u0627\u0646\u064b\u0627 \u062a\u064f\u0643\u062a\u0628 \u0623\u064a\u0636\u064b\u0627 \u0639\u0644\u0649 \u0647\u064a\u0626\u0629 \u0642\u0627\u0639\u062f\u0629 \u0643\u0631\u0627\u0645\u0631.<\/p>\n<h2 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"> \u0645\u062b\u0627\u0644 1: \u062a\u062d\u062f\u064a\u062f \u0627\u0644\u0646\u0638\u0627\u0645 \u0627\u0644\u0645\u062a\u0648\u0627\u0641\u0642 (SCD)<\/h2>\n<ul style=\";text-align:right;direction:rtl\">\n<li style=\";text-align:right;direction:rtl\"> \u062d\u0644 \u0627\u0644\u0646\u0638\u0627\u0645 \u0627\u0644\u062a\u0627\u0644\u064a \u0627\u0644\u0645\u0643\u0648\u0646 \u0645\u0646 3 \u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0630\u0627\u062a 3 \u0645\u062c\u0627\u0647\u064a\u0644 \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0642\u0627\u0639\u062f\u0629 \u0643\u0631\u0627\u0645\u0631:<\/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-6013b7e73c89c24fe388f1a5d018f32b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{cases} 2x+y+3z= 1 \\\\[1.5ex] 3x-2y-z=0 \\\\[1.5ex] x+3y+2z = 5\\end{cases}\" title=\"Rendered by QuickLaTeX.com\" height=\"97\" width=\"135\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0646\u0642\u0648\u0645 \u0623\u0648\u0644\u0627\u064b \u0628\u0625\u0646\u0634\u0627\u0621 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 A \u0648\u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u0645\u0648\u0633\u0639\u0629 A&#8217; \u0644\u0644\u0646\u0638\u0627\u0645:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-c710ed86223f47f39b5a25720b5ca19d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  A= \\left( \\begin{array}{ccc} 2 &amp; 1 &amp; 3 \\\\[1.1ex] 3 &amp; -2 &amp; -1 \\\\[1.1ex] 1 &amp; 3 &amp; 2\\end{array} \\right) \\qquad A'= \\left( \\begin{array}{ccc|c} 2 &amp; 1 &amp; 3 &amp; 1 \\\\[1.1ex] 3 &amp; -2 &amp; -1 &amp; 0 \\\\[1.1ex] 1 &amp; 3 &amp; 2 &amp; 5 \\end{array} \\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"85\" width=\"405\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0646\u0642\u0648\u0645 \u0627\u0644\u0622\u0646 \u0628\u062d\u0633\u0627\u0628 \u0631\u062a\u0628\u0629 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u062a\u064a\u0646 \u0644\u0645\u0639\u0631\u0641\u0629 \u0646\u0648\u0639 \u0627\u0644\u0646\u0638\u0627\u0645. \u0644\u062d\u0633\u0627\u0628 \u0631\u062a\u0628\u0629 A\u060c \u0646\u062d\u0633\u0628 \u0627\u0644\u0645\u062d\u062f\u062f 3\u00d73 \u0644\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u0628\u0623\u0643\u0645\u0644\u0647\u0627 (\u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0642\u0627\u0639\u062f\u0629 \u0633\u0627\u0631\u0648\u0633) \u0648\u0646\u0631\u0649 \u0645\u0627 \u0625\u0630\u0627 \u0643\u0627\u0646\u062a \u062a\u0639\u0637\u064a 0:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-ae4a3bb88d113494463df8e670c326c6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\begin{vmatrix}A \\end{vmatrix}= \\begin{vmatrix} 2 &amp; 1 &amp; 3 \\\\[1.1ex] 3 &amp; -2 &amp; -1 \\\\[1.1ex] 1 &amp; 3 &amp; 2\\end{vmatrix} =-8-1+27+6+6-6 = 24 \\neq 0\" title=\"Rendered by QuickLaTeX.com\" height=\"86\" width=\"427\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0645\u062d\u062f\u062f A \u064a\u062e\u062a\u0644\u0641 \u0639\u0646 0\u060c \u0644\u0630\u0627 \u0641\u0625\u0646 <strong>\u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 A \u0644\u0647\u0627 \u0627\u0644\u0631\u062a\u0628\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-842ae3b68df41813d9e409968f3ae946_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  rg(A)=3\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"77\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0644\u0630\u0627 \u0641\u0625\u0646 <strong>\u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 A&#8217; \u0647\u064a \u0623\u064a\u0636\u064b\u0627 \u0645\u0646 \u0627\u0644\u0631\u062a\u0628\u0629 3<\/strong> \u060c \u062d\u064a\u062b \u0644\u0627 \u064a\u0645\u0643\u0646 \u0623\u0646 \u062a\u0643\u0648\u0646 \u0645\u0646 \u0627\u0644\u0631\u062a\u0628\u0629 4 \u0648\u064a\u062c\u0628 \u0623\u0646 \u062a\u0643\u0648\u0646 \u0639\u0644\u0649 \u0627\u0644\u0623\u0642\u0644 \u0645\u0646 \u0646\u0641\u0633 \u0631\u062a\u0628\u0629 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 A.<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-150bbc9c8e363db471c2d5bc4f33e1fd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  rg(A')=3\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"82\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0645\u062f\u0649 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 A \u064a\u0633\u0627\u0648\u064a \u0645\u062f\u0649 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 A&#8217; \u0648\u0639\u062f\u062f \u0627\u0644\u0645\u062c\u0647\u0648\u0644\u0627\u062a \u0644\u0644\u0646\u0638\u0627\u0645 (3)\u060c \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a\u060c \u0645\u0646 \u062e\u0644\u0627\u0644 <strong>\u0646\u0638\u0631\u064a\u0629 \u0631\u0648\u0634\u064a\u0647-\u0641\u0631\u0648\u0628\u064a\u0646\u064a\u0648\u0633<\/strong> \u060c \u0646\u0639\u0644\u0645 \u0623\u0646\u0647 <strong>\u0646\u0638\u0627\u0645 \u0645\u062a\u0648\u0627\u0641\u0642 \u0645\u062d\u062f\u062f<\/strong> (SCD):<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-557185e16670c72d23eec5a3ea13b487_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\begin{array}{c} \\begin{array}{c} \\color{black}rg(A) = 3 \\\\[1.3ex] \\color{black}rg(A')=3 \\\\[1.3ex] \\color{black}\\text{N\\'umero de inc\\'ognitas} = 3    \\end{array}} \\\\ \\\\  \\color{blue} \\boxed{ \\color{black}\\phantom{^9_9} rg(A) = rg(A') = n = 3  \\color{blue} \\ \\bm{\\longrightarrow} \\ \\color{black} \\bm{SCD}\\phantom{^9_9}} \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"138\" width=\"436\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0628\u0645\u062c\u0631\u062f \u0623\u0646 \u0646\u0639\u0631\u0641 \u0623\u0646 \u0627\u0644\u0646\u0638\u0627\u0645 \u0647\u0648 SCD\u060c \u0646\u0637\u0628\u0642 <strong>\u0642\u0627\u0639\u062f\u0629 \u0643\u0631\u0627\u0645\u0631<\/strong> \u0644\u062d\u0644\u0647\u0627. \u0644\u0644\u0642\u064a\u0627\u0645 \u0628\u0630\u0644\u0643\u060c \u062a\u0630\u0643\u0631 \u0623\u0646 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 A \u0648\u0645\u062d\u062f\u062f\u062a\u0647\u0627 \u0648\u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 A&#8217; \u0647\u064a:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-31b2b3e5865c2264c360fb887d37a5f6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  A= \\left( \\begin{array}{ccc} 2 &amp; 1 &amp; 3 \\\\[1.1ex] 3 &amp; -2 &amp; -1 \\\\[1.1ex] 1 &amp; 3 &amp; 2\\end{array} \\right) \\qquad A'= \\left( \\begin{array}{ccc|c} 2 &amp; 1 &amp; 3 &amp; \\color{red}\\bm{1} \\\\[1.1ex] 3 &amp; -2 &amp; -1 &amp; \\color{red}\\bm{0} \\\\[1.1ex] 1 &amp; 3 &amp; 2 &amp; \\color{red}\\bm{5} \\end{array} \\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"85\" width=\"431\" 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-0a604d8f5a3927a47a264d28f7a007b2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\begin{vmatrix}A \\end{vmatrix}= \\begin{vmatrix} 2 &amp; 1 &amp; 3 \\\\[1.1ex] 3 &amp; -2 &amp; -1 \\\\[1.1ex] 1 &amp; 3 &amp; 2\\end{vmatrix} =24\" title=\"Rendered by QuickLaTeX.com\" height=\"86\" width=\"187\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0644\u062d\u0633\u0627\u0628 \u0627\u0644\u0645\u062c\u0647\u0648\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-757d0eed520b26d08cc3b8b397d0f980_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  x\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"10\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0642\u0627\u0639\u062f\u0629 \u0643\u0631\u0627\u0645\u0631\u060c \u0646\u0642\u0648\u0645 \u0628\u062a\u063a\u064a\u064a\u0631 \u0627\u0644\u0639\u0645\u0648\u062f \u0627\u0644\u0623\u0648\u0644 \u0645\u0646 \u0645\u062d\u062f\u062f A \u0625\u0644\u0649 \u0639\u0645\u0648\u062f \u0627\u0644\u062d\u062f\u0648\u062f \u0627\u0644\u0645\u0633\u062a\u0642\u0644\u0629 \u0648\u0646\u0642\u0633\u0645\u0647 \u0639\u0644\u0649 \u0645\u062d\u062f\u062f A:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a1fa494ffb5e452d59c4d2dad40f925a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\bm{x} = \\cfrac{\\begin{vmatrix} \\color{red}\\bm{1} &amp; 1 &amp; 3 \\\\[1.1ex] \\color{red}\\bm{0} &amp; -2 &amp; -1 \\\\[1.1ex] \\color{red}\\bm{5} &amp; 3 &amp; 2 \\end{vmatrix}}{\\begin{vmatrix} A \\end{vmatrix}} = \\cfrac{24}{24} = \\bm{1}\" title=\"Rendered by QuickLaTeX.com\" height=\"113\" width=\"238\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0644\u062d\u0633\u0627\u0628 \u0627\u0644\u0645\u062c\u0647\u0648\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-5fb4fb8b1addff607711094fd1ed326e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  y\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"9\" style=\"vertical-align: -4px;\"><\/p>\n<p> \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0642\u0627\u0639\u062f\u0629 \u0643\u0631\u0627\u0645\u0631\u060c \u0646\u0642\u0648\u0645 \u0628\u062a\u063a\u064a\u064a\u0631 \u0627\u0644\u0639\u0645\u0648\u062f \u0627\u0644\u062b\u0627\u0646\u064a \u0645\u0646 \u0645\u062d\u062f\u062f A \u0625\u0644\u0649 \u0639\u0645\u0648\u062f \u0627\u0644\u062d\u062f\u0648\u062f \u0627\u0644\u0645\u0633\u062a\u0642\u0644\u0629 \u0648\u0646\u0642\u0633\u0645\u0647 \u0639\u0644\u0649 \u0645\u062d\u062f\u062f A:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-08e3dabe2f33434eb96658491f67c0b4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\bm{y} = \\cfrac{\\begin{vmatrix} 2 &amp; \\color{red}\\bm{1} &amp; 3 \\\\[1.1ex] 3 &amp;  \\color{red}\\bm{0} &amp; -1 \\\\[1.1ex] 1 &amp; \\color{red}\\bm{5} &amp; 2\\end{vmatrix}}{\\begin{vmatrix} A \\end{vmatrix}} = \\cfrac{48}{24} = \\bm{2}\" title=\"Rendered by QuickLaTeX.com\" height=\"113\" width=\"223\" 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-23aa090e6102a41de5ad5515112e4d03_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  z\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"9\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0642\u0627\u0639\u062f\u0629 \u0643\u0631\u0627\u0645\u0631\u060c \u0646\u0642\u0648\u0645 \u0628\u062a\u063a\u064a\u064a\u0631 \u0627\u0644\u0639\u0645\u0648\u062f \u0627\u0644\u062b\u0627\u0644\u062b \u0645\u0646 \u0645\u062d\u062f\u062f A \u0625\u0644\u0649 \u0639\u0645\u0648\u062f \u0627\u0644\u062d\u062f\u0648\u062f \u0627\u0644\u0645\u0633\u062a\u0642\u0644\u0629 \u0648\u0646\u0642\u0633\u0645\u0647 \u0639\u0644\u0649 \u0645\u062d\u062f\u062f A:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-96e76cb8867224755e9c19254678abd4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\bm{z} = \\cfrac{\\begin{vmatrix} 2 &amp; 1 &amp; \\color{red}\\bm{1} \\\\[1.1ex] 3 &amp; -2 &amp;  \\color{red}\\bm{0} \\\\[1.1ex] 1 &amp; 3 &amp;  \\color{red}\\bm{5}\\end{vmatrix}}{\\begin{vmatrix} A \\end{vmatrix}} = \\cfrac{-24}{24} = \\bm{-1}\" title=\"Rendered by QuickLaTeX.com\" height=\"113\" width=\"259\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a \u0641\u0625\u0646 \u062d\u0644 \u0646\u0638\u0627\u0645 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0647\u0648:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-be5a19fed42dcb59880c2d0eee8e51f4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\bm{x = 1 \\qquad y=2 \\qquad z = -1}\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"210\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"> \u0627\u0644\u0645\u062b\u0627\u0644 2: \u0646\u0638\u0627\u0645 \u0645\u062a\u0648\u0627\u0641\u0642 \u063a\u064a\u0631 \u0645\u062d\u062f\u062f (ICS)<\/h2>\n<ul style=\";text-align:right;direction:rtl\">\n<li style=\";text-align:right;direction:rtl\"> \u062d\u0644 \u0646\u0638\u0627\u0645 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0627\u0644\u062a\u0627\u0644\u064a \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0642\u0627\u0639\u062f\u0629 \u0643\u0631\u0627\u0645\u0631:<\/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-781530aac4d8507fd6c7cbd77c3b4651_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{cases} 3x+2y+4z=1 \\\\[1.5ex] -2x+3y-z=0 \\\\[1.5ex] x+5y+3z = 1 \\end{cases}\" title=\"Rendered by QuickLaTeX.com\" height=\"97\" width=\"149\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0646\u0642\u0648\u0645 \u0623\u0648\u0644\u0627\u064b \u0628\u0625\u0646\u0634\u0627\u0621 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 A \u0648\u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u0645\u0648\u0633\u0639\u0629 A&#8217; \u0644\u0644\u0646\u0638\u0627\u0645:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a64800a78bf8e2e2f547be907e6863cb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  A= \\left( \\begin{array}{ccc} 3 &amp; 2 &amp; 4 \\\\[1.1ex] -2 &amp; 3 &amp; -1 \\\\[1.1ex] 1 &amp; 5 &amp; 3 \\end{array} \\right) \\qquad A'= \\left( \\begin{array}{ccc|c} 3 &amp; 2 &amp; 4 &amp; 1 \\\\[1.1ex] -2 &amp; 3 &amp; -1 &amp; 0 \\\\[1.1ex] 1 &amp; 5 &amp; 3 &amp; 1 \\end{array} \\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"85\" width=\"405\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0627\u0644\u0622\u0646 \u0646\u062d\u0633\u0628 \u0645\u062f\u0649 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u062a\u064a\u0646 \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a \u064a\u0645\u0643\u0646\u0646\u0627 \u0645\u0639\u0631\u0641\u0629 \u0646\u0648\u0639 \u0627\u0644\u0646\u0638\u0627\u0645. \u0644\u062d\u0633\u0627\u0628 \u0631\u062a\u0628\u0629 A\u060c \u0646\u062d\u0633\u0628 \u0645\u062d\u062f\u062f \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u0628\u0623\u0643\u0645\u0644\u0647\u0627 (\u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0642\u0627\u0639\u062f\u0629 \u0633\u0627\u0631\u0648\u0633) \u0648\u0646\u062a\u062d\u0642\u0642 \u0645\u0645\u0627 \u0625\u0630\u0627 \u0643\u0627\u0646\u062a 0:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-581c58cbe0fdd9952e7e25b919ecc33b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\begin{vmatrix}A \\end{vmatrix}= \\begin{vmatrix} 3 &amp; 2 &amp; 4 \\\\[1.1ex] -2 &amp; 3 &amp; -1 \\\\[1.1ex] 1 &amp; 5 &amp; 3\\end{vmatrix} = 27-2-40-12+15+12= 0\" title=\"Rendered by QuickLaTeX.com\" height=\"86\" width=\"407\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0627\u0644\u0645\u062d\u062f\u062f \u064a\u0639\u0637\u064a 0\u060c \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a \u0641\u0625\u0646 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 A \u0644\u064a\u0633\u062a \u0645\u0646 \u0627\u0644\u0645\u0631\u062a\u0628\u0629 3. \u0648\u0644\u0643\u0646 \u0644\u062f\u064a\u0647\u0627 \u0645\u062d\u062f\u062f 2 \u00d7 2 \u064a\u062e\u062a\u0644\u0641 \u0639\u0646 0:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a5d1acad8bc31240f80d8cfbf3605997_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\begin{vmatrix} 3 &amp; 2 \\\\[1.1ex] -2 &amp; 3 \\end{vmatrix} =9-(-4)=13\\neq 0\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"222\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0644\u0630\u0627 \u0641\u0625\u0646 <strong>\u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 A \u0644\u0647\u0627 \u0627\u0644\u0645\u0631\u062a\u0628\u0629 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-eded270b78ab3d95ce827e3ea428efb1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  rg(A)=2\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"76\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0628\u0645\u062c\u0631\u062f \u0623\u0646 \u0646\u0639\u0631\u0641 \u0645\u062f\u0649 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 A\u060c \u0646\u062d\u0633\u0628 \u0645\u062f\u0649 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 A&#8217;. \u0645\u062d\u062f\u062f \u0627\u0644\u0623\u0639\u0645\u062f\u0629 \u0627\u0644\u062b\u0644\u0627\u062b\u0629 \u0627\u0644\u0623\u0648\u0644\u0649 \u064a\u0639\u0637\u064a 0\u060c \u0644\u0630\u0644\u0643 \u062c\u0631\u0628\u0646\u0627 \u0627\u0644\u0645\u062d\u062f\u062f\u0627\u062a \u0627\u0644\u0623\u062e\u0631\u0649 3\u00d73 \u0641\u064a \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 A&#8217;:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-686e7ca635ecee685005f6013c2e64ad_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\begin{vmatrix} 2 &amp; 4 &amp; 1 \\\\[1.1ex] 3 &amp; -1 &amp; 0 \\\\[1.1ex] 5 &amp; 3 &amp; 1 \\end{vmatrix} = 0 \\qquad \\begin{vmatrix} 3 &amp; 4 &amp; 1 \\\\[1.1ex] -2 &amp; -1 &amp; 0 \\\\[1.1ex] 1 &amp; 3 &amp; 1 \\end{vmatrix} = 0 \\qquad \\begin{vmatrix} 3 &amp; 2 &amp; 1 \\\\[1.1ex] -2 &amp; 3 &amp; 0 \\\\[1.1ex] 1 &amp; 5 &amp; 1 \\end{vmatrix} = 0\" title=\"Rendered by QuickLaTeX.com\" height=\"86\" width=\"440\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u062c\u0645\u064a\u0639 \u0645\u062d\u062f\u062f\u0627\u062a \u0627\u0644\u0631\u062a\u0628\u0629 3 \u062a\u0639\u0637\u064a 0. \u0644\u0643\u0646 \u0645\u0646 \u0627\u0644\u0648\u0627\u0636\u062d \u0623\u0646 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 A&#8217; \u0644\u0647\u0627 \u0646\u0641\u0633 \u0627\u0644\u0645\u062d\u062f\u062f \u063a\u064a\u0631 0 2\u00d72 \u0645\u062b\u0644 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 A:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a5d1acad8bc31240f80d8cfbf3605997_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\begin{vmatrix} 3 &amp; 2 \\\\[1.1ex] -2 &amp; 3 \\end{vmatrix} =9-(-4)=13\\neq 0\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"222\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a \u0641\u0625\u0646 <strong>\u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 A&#8217; \u0647\u064a \u0623\u064a\u0636\u064b\u0627 \u0645\u0646 \u0627\u0644\u0645\u0631\u062a\u0628\u0629 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-80398cfd2fff647f81c0d4160f3b2f7e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  rg(A')=2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"81\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0644\u0630\u0627\u060c \u0628\u0645\u0627 \u0623\u0646 \u0631\u062a\u0628\u0629 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 A \u062a\u0633\u0627\u0648\u064a \u0631\u062a\u0628\u0629 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 A&#8217; \u0644\u0643\u0646 \u0647\u0627\u062a\u064a\u0646 \u0627\u0644\u0631\u062a\u0628\u062a\u064a\u0646 \u0623\u0635\u063a\u0631 \u0645\u0646 \u0639\u062f\u062f \u0627\u0644\u0645\u062c\u0647\u0648\u0644\u0627\u062a \u0641\u064a \u0627\u0644\u0646\u0638\u0627\u0645 (3)\u060c \u0641\u0625\u0646\u0646\u0627 \u0646\u0639\u0631\u0641 \u0645\u0646 \u062e\u0644\u0627\u0644 <strong>\u0646\u0638\u0631\u064a\u0629 \u0631\u0648\u0634\u064a\u0647-\u0641\u0631\u0648\u0628\u064a\u0646\u064a\u0648\u0633<\/strong> \u0623\u0646\u0647 <strong>\u0646\u0638\u0627\u0645 \u0645\u062a\u0648\u0627\u0641\u0642 \u0628\u0634\u0643\u0644 \u063a\u064a\u0631 \u0645\u062d\u062f\u062f<\/strong> (\u0627\u0644\u0645\u0631\u0643\u0632 \u0627\u0644\u062f\u0648\u0644\u064a):<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-96868a2569ea0ab5ca99d8dc606d3dc9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\begin{array}{c} \\begin{array}{c} \\color{black}rg(A) = 2 \\\\[1.3ex] \\color{black}rg(A')=2 \\\\[1.3ex] \\color{black}\\text{N\\'umero de inc\\'ognitas} = 3    \\end{array}} \\\\ \\\\  \\color{blue} \\boxed{ \\color{black}\\phantom{^9_9} rg(A) = rg(A') = 2 \\ < \\ n =3  \\color{blue} \\ \\bm{\\longrightarrow} \\ \\color{black} \\bm{SCI}\\phantom{^9_9}} \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"138\" width=\"475\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-background\" style=\"background-color:#dff6ff;text-align:right;direction:rtl\"> \u0639\u0646\u062f\u0645\u0627 \u0646\u0631\u064a\u062f \u062d\u0644 \u0646\u0638\u0627\u0645 \u063a\u064a\u0631 \u0645\u062d\u062f\u062f \u0645\u062a\u0648\u0627\u0641\u0642 (SCI)\u060c \u0646\u062d\u062a\u0627\u062c <strong>\u0625\u0644\u0649 \u062a\u062d\u0648\u064a\u0644 \u0627\u0644\u0646\u0638\u0627\u0645<\/strong> : \u0646\u062d\u0630\u0641 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0629 \u0623\u0648\u0644\u0627\u064b\u060c \u062b\u0645 \u0646\u062d\u0648\u0644 \u0645\u062a\u063a\u064a\u0631\u064b\u0627 \u0625\u0644\u0649 lect (\u0639\u0627\u062f\u0629\u064b \u0627\u0644\u0645\u062a\u063a\u064a\u0631 z)\u060c \u0648\u0623\u062e\u064a\u0631\u064b\u0627 \u0646\u0636\u0639 \u0627\u0644\u062d\u062f\u0648\u062f \u0645\u0639 lect \u0645\u0639 \u0627\u0644\u0645\u0635\u0637\u0644\u062d\u0627\u062a \u0627\u0644\u0645\u0633\u062a\u0642\u0644\u0629.<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0628\u0645\u062c\u0631\u062f \u062a\u062d\u0648\u064a\u0644 \u0627\u0644\u0646\u0638\u0627\u0645\u060c \u0646\u0637\u0628\u0642 \u0642\u0627\u0639\u062f\u0629 \u0643\u0631\u0627\u0645\u0631 \u0648\u0633\u0646\u062d\u0635\u0644 \u0639\u0644\u0649 \u062d\u0644 \u0627\u0644\u0646\u0638\u0627\u0645 \u0643\u062f\u0627\u0644\u0629 \u0644\u0640 lect.<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0641\u064a \u0647\u0630\u0647 \u0627\u0644\u062d\u0627\u0644\u0629 <strong>\u0633\u0648\u0641 \u0646\u0642\u0648\u0645 \u0628\u062d\u0630\u0641 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u0623\u062e\u064a\u0631\u0629<\/strong> \u0645\u0646 \u0627\u0644\u0646\u0638\u0627\u0645:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f0511fecc9c2af695b6b8eccae6b0661_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{cases} 3x+2y+4z=1 \\\\[1.5ex] -2x+3y-z=0 \\\\[1.5ex]\\cancel{x+5y+3z = 1} \\end{cases} \\longrightarrow \\quad \\begin{cases} 3x+2y+4z=1 \\\\[1.5ex] -2x+3y-z=0\\end{cases}\" title=\"Rendered by QuickLaTeX.com\" height=\"97\" width=\"377\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> <strong>\u0627\u0644\u0622\u0646 \u062f\u0639\u0648\u0646\u0627 \u0646\u062d\u0648\u0644 \u0627\u0644\u0645\u062a\u063a\u064a\u0631 z \u0625\u0644\u0649 lect:<\/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-2d6142d2be611954fd849a032a97245a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{cases} 3x+2y+4z=1 \\\\[1.5ex] -2x+3y-z=0  \\end{cases} \\xrightarrow{z \\ = \\ \\lambda}\\quad \\begin{cases} 3x+2y+4\\lambda=1 \\\\[1.5ex] -2x+3y-\\lambda=0\\end{cases}\" title=\"Rendered by QuickLaTeX.com\" height=\"65\" width=\"398\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0648\u0646\u0636\u0639 <strong>\u0627\u0644\u062d\u062f\u0648\u062f \u0645\u0639 \u03b1 \u0645\u0639 \u0627\u0644\u062d\u062f\u0648\u062f \u0627\u0644\u0645\u0633\u062a\u0642\u0644\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-00214205f2334f1c9bc10810c1c1df83_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{cases} 3x+2y=1-4\\lambda \\\\[1.5ex] -2x+3y=\\lambda \\end{cases}\" title=\"Rendered by QuickLaTeX.com\" height=\"65\" width=\"145\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<div class=\"adsb30\" style=\" margin:px; text-align:;text-align:right;direction:rtl\"><\/div>\n<p style=\";text-align:right;direction:rtl\"> \u0644\u0630\u0644\u0643\u060c \u062a\u0638\u0644 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 A \u0648\u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 A&#8217; \u0644\u0644\u0646\u0638\u0627\u0645 \u0643\u0645\u0627 \u064a\u0644\u064a:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-9c4b47303973b823a1c5628f5448ca79_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  A= \\left( \\begin{array}{ccc} 3 &amp; 2  \\\\[1.1ex] -2 &amp; 3 \\end{array} \\right) \\qquad A'= \\left( \\begin{array}{cc|c} 3 &amp; 2 &amp; 1 -4\\lambda \\\\[1.1ex] -2 &amp; 3 &amp; \\lambda \\end{array} \\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"363\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0623\u062e\u064a\u0631\u064b\u0627\u060c \u0628\u0645\u062c\u0631\u062f \u0623\u0646 \u0646\u0642\u0648\u0645 \u0628\u062a\u062d\u0648\u064a\u0644 \u0627\u0644\u0646\u0638\u0627\u0645\u060c <strong>\u0641\u0625\u0646\u0646\u0627 \u0646\u0637\u0628\u0642 \u0642\u0627\u0639\u062f\u0629 \u0643\u0631\u0627\u0645\u0631<\/strong> . \u0644\u0630\u0644\u0643 \u0646\u062d\u0644 \u0645\u062d\u062f\u062f A :<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-d1b79f52dc82f5cfc311867273e78c06_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\begin{vmatrix}A \\end{vmatrix}= \\begin{vmatrix} 3 &amp; 2  \\\\[1.1ex] -2 &amp; 3\\end{vmatrix} = 13\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"148\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0644\u062d\u0633\u0627\u0628 \u0627\u0644\u0645\u062c\u0647\u0648\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-757d0eed520b26d08cc3b8b397d0f980_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  x\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"10\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0642\u0627\u0639\u062f\u0629 \u0643\u0631\u0627\u0645\u0631\u060c \u0646\u0642\u0648\u0645 \u0628\u062a\u063a\u064a\u064a\u0631 \u0627\u0644\u0639\u0645\u0648\u062f \u0627\u0644\u0623\u0648\u0644 \u0645\u0646 \u0645\u062d\u062f\u062f A \u0625\u0644\u0649 \u0639\u0645\u0648\u062f \u0627\u0644\u062d\u062f\u0648\u062f \u0627\u0644\u0645\u0633\u062a\u0642\u0644\u0629 \u0648\u0646\u0642\u0633\u0645\u0647 \u0639\u0644\u0649 \u0645\u062d\u062f\u062f A:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-0ff917eaea976c65bd18e0476078d3cb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\bm{x} = \\cfrac{\\begin{vmatrix} 1 -4\\lambda &amp; 2  \\\\[1.1ex] \\lambda &amp; 3 \\end{vmatrix}}{\\begin{vmatrix} A \\end{vmatrix}} = \\cfrac{3(1-4\\lambda) -2\\lambda}{13} = \\cfrac{\\bm{3-14\\lambda} }{\\bm{13}}\" title=\"Rendered by QuickLaTeX.com\" height=\"81\" width=\"349\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0644\u062d\u0633\u0627\u0628 \u0627\u0644\u0645\u062c\u0647\u0648\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-5fb4fb8b1addff607711094fd1ed326e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  y\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"9\" style=\"vertical-align: -4px;\"><\/p>\n<p> \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0642\u0627\u0639\u062f\u0629 \u0643\u0631\u0627\u0645\u0631\u060c \u0646\u0642\u0648\u0645 \u0628\u062a\u063a\u064a\u064a\u0631 \u0627\u0644\u0639\u0645\u0648\u062f \u0627\u0644\u062b\u0627\u0646\u064a \u0645\u0646 \u0645\u062d\u062f\u062f A \u0625\u0644\u0649 \u0639\u0645\u0648\u062f \u0627\u0644\u062d\u062f\u0648\u062f \u0627\u0644\u0645\u0633\u062a\u0642\u0644\u0629 \u0648\u0646\u0642\u0633\u0645\u0647 \u0639\u0644\u0649 \u0645\u062d\u062f\u062f A:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-155ca520739bbf7e040a6cdc632f7c27_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\bm{y} = \\cfrac{\\begin{vmatrix} 3 &amp; 1 -4\\lambda  \\\\[1.1ex]-2&amp;  \\lambda  \\end{vmatrix}}{\\begin{vmatrix} A \\end{vmatrix}} = \\cfrac{3\\lambda -\\bigl(-2(1-4\\lambda)\\bigr)}{13}= \\cfrac{3\\lambda -\\bigl(-2+8\\lambda\\bigr)}{13} = \\cfrac{\\bm{2-5\\lambda} }{\\bm{13}}\" title=\"Rendered by QuickLaTeX.com\" height=\"81\" width=\"529\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0641\u064a \u062d\u064a\u0646 \u0623\u0646 \u062d\u0644 \u0646\u0638\u0627\u0645 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0647\u0648 \u062f\u0627\u0644\u0629 \u0644\u0640 lect\u060c \u0646\u0638\u0631\u064b\u0627 \u0644\u0623\u0646\u0647 \u0645\u0646 SCI\u060c \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a \u0641\u0625\u0646 \u0644\u062f\u064a\u0647 \u0639\u062f\u062f \u0644\u0627 \u0646\u0647\u0627\u0626\u064a \u0645\u0646 \u0627\u0644\u062d\u0644\u0648\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-c9866e045041eb2d8fe103db2309f229_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\bm{x =} \\cfrac{\\bm{3-14\\lambda} }{\\bm{13}} \\qquad \\bm{y=}\\cfrac{\\bm{2-5\\lambda} }{\\bm{13}} \\qquad \\bm{z = \\lambda}\" title=\"Rendered by QuickLaTeX.com\" height=\"39\" width=\"283\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"> \u0642\u0627\u0639\u062f\u0629 \u0643\u0631\u064a\u0645\u0631 \u062a\u062d\u0644 \u0627\u0644\u0645\u0633\u0627\u0626\u0644 <\/h2>\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 1<\/h3>\n<p style=\";text-align:right;direction:rtl\"> \u0637\u0628\u0642 \u0642\u0627\u0639\u062f\u0629 \u0643\u0631\u0627\u0645\u0631 \u0644\u062d\u0644 \u0627\u0644\u0646\u0638\u0627\u0645 \u0627\u0644\u062a\u0627\u0644\u064a \u0645\u0646 \u0645\u0639\u0627\u062f\u0644\u062a\u064a\u0646 \u0628\u0645\u062c\u0647\u0648\u0644\u064a\u0646: <\/p>\n<div class=\"wp-block-image\" style=\";text-align:right;direction:rtl\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/exercice-resolu-pas-a-pas-de-la-regle-de-cramer-22.webp\" alt=\"\u062a\u0645 \u062d\u0644 \u0627\u0644\u062a\u0645\u0631\u064a\u0646 \u062e\u0637\u0648\u0629 \u0628\u062e\u0637\u0648\u0629 \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0642\u0627\u0639\u062f\u0629 \u0643\u0631\u064a\u0645\u0631 2\u00d72\" class=\"wp-image-3999\" width=\"137\" height=\"83\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E3F2FD boto_ver_solucion\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E3F2FD\" style=\"text-align:center;text-align:right;direction:rtl\">\n<div class=\"otfm-sp__title\" style=\";text-align:right;direction:rtl\"> <strong>\u0627\u0646\u0638\u0631 \u0627\u0644\u062d\u0644<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0623\u0648\u0644 \u0645\u0627 \u064a\u062c\u0628 \u0641\u0639\u0644\u0647 \u0647\u0648 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 A \u0648\u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u0645\u0648\u0633\u0639\u0629 A&#8217; \u0644\u0644\u0646\u0638\u0627\u0645:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-2a001db9cf56846150730fee7126dacd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  A= \\left( \\begin{array}{cc} 2 &amp; 5 \\\\[1.1ex] 1 &amp; 4 \\end{array} \\right) \\qquad A'= \\left( \\begin{array}{cc|c} 2 &amp; 5 &amp; 8 \\\\[1.1ex] 1 &amp; 4 &amp; 7 \\end{array}\\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"294\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u064a\u062c\u0628 \u0639\u0644\u064a\u0646\u0627 \u0627\u0644\u0622\u0646 \u0627\u0644\u0639\u062b\u0648\u0631 \u0639\u0644\u0649 \u0631\u062a\u0628\u0629 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 A. \u0644\u0644\u0642\u064a\u0627\u0645 \u0628\u0630\u0644\u0643\u060c \u0646\u062a\u062d\u0642\u0642 \u0645\u0645\u0627 \u0625\u0630\u0627 \u0643\u0627\u0646 \u0645\u062d\u062f\u062f \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u0628\u0623\u0643\u0645\u0644\u0647\u0627 \u0645\u062e\u062a\u0644\u0641\u064b\u0627 \u0639\u0646 0:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-0c75c1c344c286016bea83237f1f418e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\begin{vmatrix}A \\end{vmatrix}= \\begin{vmatrix} 2 &amp; 5 \\\\[1.1ex] 1 &amp; 4 \\end{vmatrix} = 8-5=3 \\bm{\\neq 0}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"216\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0646\u0638\u0631\u064b\u0627 \u0644\u0623\u0646 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u0644\u0647\u0627 \u0645\u062d\u062f\u062f 2 \u00d7 2 \u064a\u062e\u062a\u0644\u0641 \u0639\u0646 0\u060c <strong>\u0641\u0625\u0646 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 A \u0644\u0647\u0627 \u0627\u0644\u0645\u0631\u062a\u0628\u0629 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-eded270b78ab3d95ce827e3ea428efb1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  rg(A)=2\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"76\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0628\u0645\u062c\u0631\u062f \u0623\u0646 \u0646\u0639\u0631\u0641 \u0631\u062a\u0628\u0629 &#8220;\u0623&#8221;\u060c \u0641\u0625\u0646\u0646\u0627 \u0646\u062d\u0633\u0628 \u0631\u062a\u0628\u0629 &#8220;\u0623&#8221;. \u0633\u064a\u0643\u0648\u0646 \u0647\u0630\u0627 \u0639\u0644\u0649 \u0627\u0644\u0623\u0642\u0644 \u0645\u0646 \u0627\u0644\u0631\u062a\u0628\u0629 2\u060c \u0644\u0623\u0646\u0646\u0627 \u0631\u0623\u064a\u0646\u0627 \u0644\u0644\u062a\u0648 \u0623\u0646\u0647 \u064a\u062d\u062a\u0648\u064a \u062f\u0627\u062e\u0644 \u0645\u062d\u062f\u062f \u0645\u0646 \u0627\u0644\u0631\u062a\u0628\u0629 2 \u064a\u062e\u062a\u0644\u0641 \u0639\u0646 0. \u0639\u0644\u0627\u0648\u0629 \u0639\u0644\u0649 \u0630\u0644\u0643\u060c \u0644\u0627 \u064a\u0645\u0643\u0646 \u0623\u0646 \u064a\u0643\u0648\u0646 \u0645\u0646 \u0627\u0644\u0631\u062a\u0628\u0629 3\u060c \u0644\u0623\u0646\u0646\u0627 \u0644\u0627 \u0646\u0633\u062a\u0637\u064a\u0639 \u0639\u062f\u0645 \u0625\u0646\u0634\u0627\u0621 \u0645\u062d\u062f\u062f 3\u00d73. \u0648\u0644\u0630\u0644\u0643\u060c <strong>\u0641\u0625\u0646 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 A&#8217; \u0647\u064a \u0623\u064a\u0636\u064b\u0627 \u0645\u0646 \u0627\u0644\u0645\u0631\u062a\u0628\u0629 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-80398cfd2fff647f81c0d4160f3b2f7e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  rg(A')=2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"81\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0644\u0630\u0644\u0643\u060c \u0645\u0646 \u062e\u0644\u0627\u0644 \u062a\u0637\u0628\u064a\u0642 <strong>\u0646\u0638\u0631\u064a\u0629 \u0631\u0648\u0634\u064a\u0647-\u0641\u0631\u0648\u0628\u064a\u0646\u064a\u0648\u0633\u060c<\/strong> \u0646\u0639\u0644\u0645 \u0623\u0646 \u0647\u0630\u0627 <strong>\u0646\u0638\u0627\u0645 \u0645\u062d\u062f\u062f \u0645\u062a\u0648\u0627\u0641\u0642<\/strong> (SCD)\u060c \u0644\u0623\u0646 \u0645\u062f\u0649 A \u064a\u0633\u0627\u0648\u064a \u0646\u0637\u0627\u0642 A&#8217; \u0648\u0639\u062f\u062f \u0627\u0644\u0645\u062c\u0647\u0648\u0644\u064a\u0646.<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-bbd67b16bb6d52a0696e70a77833cd3b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\begin{array}{c} \\begin{array}{c} \\color{black}rg(A) = 2 \\\\[1.3ex] \\color{black}rg(A')=2 \\\\[1.3ex] \\color{black}\\text{N\\'umero de inc\\'ognitas} = 2 \\end{array}} \\\\ \\\\ \\color{blue} \\boxed{ \\color{black}\\phantom{^9_9} rg(A) = rg(A') = n = 2 \\color{blue} \\ \\bm{\\longrightarrow} \\ \\color{black} \\bm{SCD}\\phantom{^9_9}} \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"138\" width=\"436\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0628\u0645\u062c\u0631\u062f \u0623\u0646 \u0646\u0639\u0631\u0641 \u0623\u0646 \u0627\u0644\u0646\u0638\u0627\u0645 \u0647\u0648 SCD\u060c \u0646\u0637\u0628\u0642 <strong>\u0642\u0627\u0639\u062f\u0629 \u0643\u0631\u0627\u0645\u0631<\/strong> \u0644\u062d\u0644\u0647\u0627.<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0644\u062d\u0633\u0627\u0628 \u0627\u0644\u0645\u062c\u0647\u0648\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-757d0eed520b26d08cc3b8b397d0f980_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  x\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"10\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0642\u0627\u0639\u062f\u0629 \u0643\u0631\u0627\u0645\u0631\u060c \u0646\u0642\u0648\u0645 \u0628\u062a\u063a\u064a\u064a\u0631 \u0627\u0644\u0639\u0645\u0648\u062f \u0627\u0644\u0623\u0648\u0644 \u0645\u0646 \u0645\u062d\u062f\u062f A \u0625\u0644\u0649 \u0639\u0645\u0648\u062f \u0627\u0644\u062d\u062f\u0648\u062f \u0627\u0644\u0645\u0633\u062a\u0642\u0644\u0629 \u0648\u0646\u0642\u0633\u0645\u0647 \u0639\u0644\u0649 \u0645\u062d\u062f\u062f A:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-b0adeda8f2ce557661466996038b1148_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\bm{x} = \\cfrac{\\begin{vmatrix} 8 &amp; 5 \\\\[1.1ex] 7 &amp; 4\\end{vmatrix}}{\\begin{vmatrix} A \\end{vmatrix}} = \\cfrac{-3}{3} = \\bm{-1}\" title=\"Rendered by QuickLaTeX.com\" height=\"81\" width=\"186\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0644\u062d\u0633\u0627\u0628 \u0627\u0644\u0645\u062c\u0647\u0648\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-5fb4fb8b1addff607711094fd1ed326e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  y\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"9\" style=\"vertical-align: -4px;\"><\/p>\n<p> \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0642\u0627\u0639\u062f\u0629 \u0643\u0631\u0627\u0645\u0631\u060c \u0646\u0642\u0648\u0645 \u0628\u062a\u063a\u064a\u064a\u0631 \u0627\u0644\u0639\u0645\u0648\u062f \u0627\u0644\u062b\u0627\u0646\u064a \u0645\u0646 \u0645\u062d\u062f\u062f A \u0625\u0644\u0649 \u0639\u0645\u0648\u062f \u0627\u0644\u062d\u062f\u0648\u062f \u0627\u0644\u0645\u0633\u062a\u0642\u0644\u0629 \u0648\u0646\u0642\u0633\u0645\u0647 \u0639\u0644\u0649 \u0645\u062d\u062f\u062f A:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-59790a66cc31fac07be1d5a7bb556d9e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\bm{y} = \\cfrac{\\begin{vmatrix}2 &amp; 8 \\\\[1.1ex] 1 &amp; 7\\end{vmatrix}}{\\begin{vmatrix} A \\end{vmatrix}} = \\cfrac{6}{3} = \\bm{2}\" title=\"Rendered by QuickLaTeX.com\" height=\"81\" width=\"150\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a \u0641\u0625\u0646 \u062d\u0644 \u0646\u0638\u0627\u0645 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0647\u0648: <\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-26fa7c9ed2d05ca07ff62a968ba7ab11_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\bm{x = -1 \\qquad y=2}\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"133\" style=\"vertical-align: -4px;\"><\/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\"> \u0623\u0648\u062c\u062f \u062d\u0644 \u0627\u0644\u0646\u0638\u0627\u0645 \u0627\u0644\u062a\u0627\u0644\u064a \u0627\u0644\u0645\u0643\u0648\u0646 \u0645\u0646 \u062b\u0644\u0627\u062b \u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0630\u0627\u062a \u062b\u0644\u0627\u062b\u0629 \u0645\u062c\u0627\u0647\u064a\u0644 \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0642\u0627\u0639\u062f\u0629 \u0643\u0631\u0627\u0645\u0631: <\/p>\n<div class=\"wp-block-image\" style=\";text-align:right;direction:rtl\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/exercice-resolu-du-systeme-de-regles-de-cramer-des-equations-3-3.webp\" alt=\"\u062d\u0644 \u062a\u0645\u0631\u064a\u0646 \u0644\u0642\u0627\u0639\u062f\u0629 \u0643\u0631\u0627\u0645\u0631 \u0644\u0646\u0638\u0627\u0645 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0627\u062a 3x3\" class=\"wp-image-4002\" width=\"181\" height=\"124\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\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\"> \u0646\u0642\u0648\u0645 \u0623\u0648\u0644\u0627\u064b \u0628\u0625\u0646\u0634\u0627\u0621 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 A \u0648\u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u0645\u0648\u0633\u0639\u0629 A&#8217; \u0644\u0644\u0646\u0638\u0627\u0645:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-eea75fbf6d86ebc3d0b9e236cd2160f5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  A= \\left( \\begin{array}{ccc} 1 &amp; 3 &amp; 2\\\\[1.1ex] -1 &amp; 5 &amp; -1\\\\[1.1ex] 3 &amp; -1 &amp; 4 \\end{array} \\right) \\qquad A'= \\left( \\begin{array}{ccc|c} 1 &amp; 3 &amp; 2 &amp; 2 \\\\[1.1ex] -1 &amp; 5 &amp; -1 &amp; 4 \\\\[1.1ex] 3 &amp; -1 &amp; 4 &amp; 0 \\end{array}\\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"85\" width=\"432\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0646\u062c\u062f \u0627\u0644\u0622\u0646 \u0631\u062a\u0628\u0629 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 A \u0639\u0646 \u0637\u0631\u064a\u0642 \u062d\u0633\u0627\u0628 \u0645\u062d\u062f\u062f \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 3\u00d73 \u0628\u0642\u0627\u0639\u062f\u0629 \u0633\u0627\u0631\u0648\u0633:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-73f751f3b5c527c16b5de1b10bf07a4e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\begin{vmatrix}A \\end{vmatrix}= \\begin{vmatrix} 1 &amp; 3 &amp; 2 \\\\[1.1ex] -1 &amp; 5 &amp; -1\\\\[1.1ex] 3 &amp; -1 &amp; 4 \\end{vmatrix} = 20-9+2-30-1+12=-6 \\bm{\\neq 0}\" title=\"Rendered by QuickLaTeX.com\" height=\"86\" width=\"445\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u062a\u064a \u0644\u0647\u0627 \u0645\u062d\u062f\u062f \u0645\u0646 \u0627\u0644\u0631\u062a\u0628\u0629 3 \u062a\u062e\u062a\u0644\u0641 \u0639\u0646 0\u060c <strong>\u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 A \u0647\u064a \u0645\u0646 \u0627\u0644\u0645\u0631\u062a\u0628\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-842ae3b68df41813d9e409968f3ae946_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  rg(A)=3\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"77\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a\u060c \u0641\u0625\u0646 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 A&#8217; \u0647\u064a \u0623\u064a\u0636\u064b\u0627 \u0645\u0646 \u0627\u0644\u0645\u0631\u062a\u0628\u0629 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-150bbc9c8e363db471c2d5bc4f33e1fd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  rg(A')=3\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"82\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0644\u0630\u0644\u0643\u060c \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 <strong>\u0646\u0638\u0631\u064a\u0629 \u0631\u0648\u0634\u064a\u0647-\u0641\u0631\u0648\u0628\u064a\u0646\u064a\u0648\u0633\u060c<\/strong> \u0646\u0639\u0644\u0645 \u0623\u0646 \u0647\u0630\u0627 <strong>\u0646\u0638\u0627\u0645 \u0645\u062d\u062f\u062f \u0645\u062a\u0648\u0627\u0641\u0642<\/strong> (SCD)\u060c \u0644\u0623\u0646 \u0645\u062f\u0649 A \u064a\u0633\u0627\u0648\u064a \u0646\u0637\u0627\u0642 A&#8217; \u0648\u0639\u062f\u062f \u0627\u0644\u0645\u062c\u0647\u0648\u0644\u064a\u0646.<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-31b495a48a75d7af1f23e38818bf4eca_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\begin{array}{c} \\begin{array}{c} \\color{black}rg(A) = 3 \\\\[1.3ex] \\color{black}rg(A')=3 \\\\[1.3ex] \\color{black}\\text{N\\'umero de inc\\'ognitas} = 3 \\end{array}} \\\\ \\\\ \\color{blue} \\boxed{ \\color{black}\\phantom{^9_9} rg(A) = rg(A') = n = 3 \\color{blue} \\ \\bm{\\longrightarrow} \\ \\color{black} \\bm{SCD}\\phantom{^9_9}} \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"138\" width=\"436\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0628\u0645\u062c\u0631\u062f \u0623\u0646 \u0646\u0639\u0631\u0641 \u0623\u0646 \u0627\u0644\u0646\u0638\u0627\u0645 \u0647\u0648 SCD\u060c \u0646\u062d\u062a\u0627\u062c \u0625\u0644\u0649 \u062a\u0637\u0628\u064a\u0642 <strong>\u0642\u0627\u0639\u062f\u0629 \u0643\u0631\u0627\u0645\u0631<\/strong> \u0644\u062d\u0644 \u0627\u0644\u0646\u0638\u0627\u0645.<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0644\u062d\u0633\u0627\u0628 \u0627\u0644\u0645\u062c\u0647\u0648\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-757d0eed520b26d08cc3b8b397d0f980_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  x\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"10\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0642\u0627\u0639\u062f\u0629 \u0643\u0631\u0627\u0645\u0631\u060c \u0646\u0642\u0648\u0645 \u0628\u062a\u063a\u064a\u064a\u0631 \u0627\u0644\u0639\u0645\u0648\u062f \u0627\u0644\u0623\u0648\u0644 \u0645\u0646 \u0645\u062d\u062f\u062f A \u0625\u0644\u0649 \u0639\u0645\u0648\u062f \u0627\u0644\u062d\u062f\u0648\u062f \u0627\u0644\u0645\u0633\u062a\u0642\u0644\u0629 \u0648\u0646\u0642\u0633\u0645\u0647 \u0639\u0644\u0649 \u0645\u062d\u062f\u062f A:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-fc574297f609b68e4fb48466ec6c8077_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\bm{x} = \\cfrac{\\begin{vmatrix} 2 &amp; 3 &amp; 2 \\\\[1.1ex] 4 &amp; 5 &amp; -1\\\\[1.1ex]0 &amp; -1 &amp; 4\\end{vmatrix}}{\\begin{vmatrix} A \\end{vmatrix}} = \\cfrac{-18}{-6} = \\bm{3}\" title=\"Rendered by QuickLaTeX.com\" height=\"113\" width=\"235\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0644\u062d\u0633\u0627\u0628 \u0627\u0644\u0645\u062c\u0647\u0648\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-5fb4fb8b1addff607711094fd1ed326e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  y\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"9\" style=\"vertical-align: -4px;\"><\/p>\n<p> \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0642\u0627\u0639\u062f\u0629 \u0643\u0631\u0627\u0645\u0631\u060c \u0646\u0642\u0648\u0645 \u0628\u062a\u063a\u064a\u064a\u0631 \u0627\u0644\u0639\u0645\u0648\u062f \u0627\u0644\u062b\u0627\u0646\u064a \u0645\u0646 \u0645\u062d\u062f\u062f A \u0625\u0644\u0649 \u0639\u0645\u0648\u062f \u0627\u0644\u062d\u062f\u0648\u062f \u0627\u0644\u0645\u0633\u062a\u0642\u0644\u0629 \u0648\u0646\u0642\u0633\u0645\u0647 \u0639\u0644\u0649 \u0645\u062d\u062f\u062f A:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-2544601137d62e217ff1866f278203d6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\bm{y} = \\cfrac{\\begin{vmatrix}1 &amp; 2 &amp; 2 \\\\[1.1ex] -1 &amp; 4 &amp; -1\\\\[1.1ex] 3 &amp; 0 &amp; 4\\end{vmatrix}}{\\begin{vmatrix} A \\end{vmatrix}} = \\cfrac{-6}{-6} = \\bm{1}\" title=\"Rendered by QuickLaTeX.com\" height=\"113\" width=\"224\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" 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-23aa090e6102a41de5ad5515112e4d03_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  z\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"9\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0642\u0627\u0639\u062f\u0629 \u0643\u0631\u0627\u0645\u0631\u060c \u0646\u0642\u0648\u0645 \u0628\u062a\u063a\u064a\u064a\u0631 \u0627\u0644\u0639\u0645\u0648\u062f \u0627\u0644\u062b\u0627\u0644\u062b \u0645\u0646 \u0645\u062d\u062f\u062f A \u0625\u0644\u0649 \u0639\u0645\u0648\u062f \u0627\u0644\u062d\u062f\u0648\u062f \u0627\u0644\u0645\u0633\u062a\u0642\u0644\u0629 \u0648\u0646\u0642\u0633\u0645\u0647 \u0639\u0644\u0649 \u0645\u062d\u062f\u062f A:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-42d7d4adcfc48954185ca14b56b8e128_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\bm{z} = \\cfrac{\\begin{vmatrix} 1 &amp; 3 &amp; 2 \\\\[1.1ex] -1 &amp; 5 &amp; 4 \\\\[1.1ex] 3 &amp; -1 &amp; 0\\end{vmatrix}}{\\begin{vmatrix} A \\end{vmatrix}} = \\cfrac{12}{-6} = \\bm{-2}\" title=\"Rendered by QuickLaTeX.com\" height=\"113\" width=\"230\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a \u0641\u0625\u0646 \u062d\u0644 \u0646\u0638\u0627\u0645 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0647\u0648: <\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-685195d3a299f30f6421bb387f7f00e4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\bm{x =3 \\qquad y=1 \\qquad z=-2}\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"210\" style=\"vertical-align: -4px;\"><\/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\"> \u0627\u062d\u0633\u0628 \u062d\u0644 \u0627\u0644\u0646\u0638\u0627\u0645 \u0627\u0644\u062a\u0627\u0644\u064a \u0627\u0644\u0645\u0643\u0648\u0646 \u0645\u0646 \u062b\u0644\u0627\u062b \u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0630\u0627\u062a \u062b\u0644\u0627\u062b\u0629 \u0645\u062c\u0627\u0647\u064a\u0644 \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0642\u0627\u0639\u062f\u0629 \u0643\u0631\u0627\u0645\u0631: <\/p>\n<div class=\"wp-block-image\" style=\";text-align:right;direction:rtl\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/exemple-de-regle-de-cramer.webp\" alt=\"\u0645\u062b\u0627\u0644 \u0639\u0644\u0649 \u0642\u0627\u0639\u062f\u0629 \u0643\u0631\u064a\u0645\u0631\" class=\"wp-image-4003\" width=\"183\" height=\"123\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\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\"> \u0646\u0642\u0648\u0645 \u0623\u0648\u0644\u0627\u064b \u0628\u0625\u0646\u0634\u0627\u0621 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 A \u0648\u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u0645\u0648\u0633\u0639\u0629 A&#8217; \u0644\u0644\u0646\u0638\u0627\u0645:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-afd359275e5ebaaf3229504c47a5815f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  A= \\left( \\begin{array}{ccc} 1 &amp; 2 &amp; 5\\\\[1.1ex] 2 &amp; 3 &amp; -1 \\\\[1.1ex] 3 &amp; 4 &amp; -7 \\end{array} \\right) \\qquad A'= \\left( \\begin{array}{ccc|c} 1 &amp; 2 &amp; 5 &amp; 1 \\\\[1.1ex] 2 &amp; 3 &amp; -1 &amp; 5 \\\\[1.1ex] 3 &amp; 4 &amp; -7 &amp; 9 \\end{array}\\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"85\" width=\"377\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0646\u062d\u0633\u0628 \u0645\u062f\u0649 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 A: <\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-47ddf17a2b3eed5a680d685900a79b31_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\begin{vmatrix}A \\end{vmatrix}= \\begin{vmatrix} 1 &amp; 2 &amp; 5\\\\[1.1ex] 2 &amp; 3 &amp; -1 \\\\[1.1ex] 3 &amp; 4 &amp; -7 \\end{vmatrix} =-21-6+40-45+4+28=0\" title=\"Rendered by QuickLaTeX.com\" height=\"86\" 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-fdd4380c7c76418bd3ec12c94359f886_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\begin{vmatrix} 1 &amp; 2 \\\\[1.1ex] 2 &amp; 3  \\end{vmatrix} = 3-4 = -1 \\neq 0\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"186\" 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-eded270b78ab3d95ce827e3ea428efb1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  rg(A)=2\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"76\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0628\u0645\u062c\u0631\u062f \u0623\u0646 \u0646\u0639\u0631\u0641 \u0645\u062f\u0649 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 A\u060c \u0646\u062d\u0633\u0628 \u0645\u062f\u0649 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 A&#8217;. \u0645\u062d\u062f\u062f \u0627\u0644\u0623\u0639\u0645\u062f\u0629 \u0627\u0644\u062b\u0644\u0627\u062b\u0629 \u0627\u0644\u0623\u0648\u0644\u0649 \u064a\u0639\u0637\u064a 0\u060c \u0644\u0630\u0644\u0643 \u062c\u0631\u0628\u0646\u0627 \u0627\u0644\u0645\u062d\u062f\u062f\u0627\u062a \u0627\u0644\u0623\u062e\u0631\u0649 3\u00d73 \u0641\u064a \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 A&#8217;:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-1addc62130e0462075b3bade26a7e35e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\begin{vmatrix} 2 &amp; 5 &amp; 1 \\\\[1.1ex]  3 &amp; -1 &amp; 5 \\\\[1.1ex] 4 &amp; -7 &amp; 9 \\end{vmatrix} = 0 \\qquad \\begin{vmatrix} 1 &amp; 5 &amp; 1 \\\\[1.1ex] 2 &amp; -1 &amp; 5 \\\\[1.1ex] 3 &amp; -7 &amp; 9\\end{vmatrix} = 0 \\qquad \\begin{vmatrix} 1 &amp; 2 &amp; 1 \\\\[1.1ex] 2 &amp; 3 &amp; 5 \\\\[1.1ex] 3 &amp; 4 &amp; 9 \\end{vmatrix} = 0\" title=\"Rendered by QuickLaTeX.com\" height=\"86\" width=\"412\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u062c\u0645\u064a\u0639 \u0645\u062d\u062f\u062f\u0627\u062a \u0627\u0644\u0631\u062a\u0628\u0629 3 \u062a\u0639\u0637\u064a 0. \u0648\u0645\u0639 \u0630\u0644\u0643\u060c \u0641\u0625\u0646 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 A&#8217; \u0644\u0647\u0627 \u0646\u0641\u0633 \u0627\u0644\u0645\u062d\u062f\u062f 2\u00d72 \u063a\u064a\u0631 0 \u0645\u062b\u0644 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 A:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-7de377466bd5afd03f58f9b532324e75_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\begin{vmatrix} 1 &amp; 2 \\\\[1.1ex] 2 &amp; 3 \\end{vmatrix} = 3-4 = -1 \\neq 0\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"186\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0648\u0644\u0630\u0644\u0643\u060c \u0641\u0625\u0646 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 A&#8217; \u0647\u064a \u0623\u064a\u0636\u064b\u0627 \u0645\u0646 \u0627\u0644\u0645\u0631\u062a\u0628\u0629 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-80398cfd2fff647f81c0d4160f3b2f7e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  rg(A')=2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"81\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0628\u0645\u0627 \u0623\u0646 \u0631\u062a\u0628\u0629 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 A \u062a\u0633\u0627\u0648\u064a \u0631\u062a\u0628\u0629 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 A&#8217; \u0648\u0644\u0643\u0646 \u0647\u0630\u064a\u0646 \u0623\u0642\u0644 \u0645\u0646 \u0639\u062f\u062f \u0627\u0644\u0645\u062c\u0647\u0648\u0644\u064a\u0646 \u0644\u0644\u0646\u0638\u0627\u0645 (3)\u060c \u0641\u0625\u0646\u0646\u0627 \u0646\u0639\u0631\u0641 \u0645\u0646 \u062e\u0644\u0627\u0644 <strong>\u0646\u0638\u0631\u064a\u0629 Rouch\u00e9-Frobenius<\/strong> \u0623\u0646\u0647 <strong>\u0646\u0638\u0627\u0645 \u0645\u062a\u0648\u0627\u0641\u0642 \u063a\u064a\u0631 \u0645\u062d\u062f\u062f<\/strong> (ICS):<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-96868a2569ea0ab5ca99d8dc606d3dc9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\begin{array}{c} \\begin{array}{c} \\color{black}rg(A) = 2 \\\\[1.3ex] \\color{black}rg(A')=2 \\\\[1.3ex] \\color{black}\\text{N\\'umero de inc\\'ognitas} = 3    \\end{array}} \\\\ \\\\  \\color{blue} \\boxed{ \\color{black}\\phantom{^9_9} rg(A) = rg(A') = 2 \\ < \\ n =3  \\color{blue} \\ \\bm{\\longrightarrow} \\ \\color{black} \\bm{SCI}\\phantom{^9_9}} \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"138\" width=\"475\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0643\u0648\u0646\u0646\u0627 \u0646\u0638\u0627\u0645 ICS\u060c \u0639\u0644\u064a\u0646\u0627 \u0625\u0632\u0627\u0644\u0629 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0629. \u0641\u064a \u0647\u0630\u0647 \u0627\u0644\u062d\u0627\u0644\u0629 <strong>\u0633\u0648\u0641 \u0646\u0642\u0648\u0645 \u0628\u062d\u0630\u0641 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u0623\u062e\u064a\u0631\u0629<\/strong> \u0645\u0646 \u0627\u0644\u0646\u0638\u0627\u0645:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-3a1d067e155540f4345cf56e5c1567d3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{cases} x+2y+5z=1 \\\\[1.5ex] 2x+3y-z=5 \\\\[1.5ex]\\cancel{3x+4y-7z = 9} \\end{cases} \\longrightarrow \\quad \\begin{cases} x+2y+5z=1 \\\\[1.5ex] 2x+3y-z=5\\end{cases}\" title=\"Rendered by QuickLaTeX.com\" height=\"97\" width=\"357\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> <strong>\u0627\u0644\u0622\u0646 \u062f\u0639\u0648\u0646\u0627 \u0646\u062d\u0648\u0644 \u0627\u0644\u0645\u062a\u063a\u064a\u0631 z \u0625\u0644\u0649 lect:<\/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-b5fa91777a722d3783b2f887aab44152_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{cases} x+2y+5z=1 \\\\[1.5ex] 2x+3y-z=5  \\end{cases} \\xrightarrow{z \\ = \\ \\lambda}\\quad \\begin{cases} x+2y+5\\lambda=1 \\\\[1.5ex] 2x+3y-\\lambda=5\\end{cases}\" title=\"Rendered by QuickLaTeX.com\" height=\"65\" width=\"369\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0648\u0646\u0636\u0639 \u0627\u0644\u062d\u062f\u0648\u062f \u0645\u0639 \u03b1 \u0645\u0639 \u0627\u0644\u062d\u062f\u0648\u062f \u0627\u0644\u0645\u0633\u062a\u0642\u0644\u0629:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-76ff21181be050b01c247981298986a7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{cases} x+2y=1-5\\lambda\\\\[1.5ex] 2x+3y=5+\\lambda \\end{cases}\" title=\"Rendered by QuickLaTeX.com\" height=\"65\" width=\"136\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0628\u062d\u064a\u062b \u062a\u0628\u0642\u0649 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 A \u0648\u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 A&#8217; \u0644\u0644\u0646\u0638\u0627\u0645:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-230e5b28dd467127e63f4f9756cf90da_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  A= \\left( \\begin{array}{ccc} 1 &amp; 2  \\\\[1.1ex] 2 &amp; 3 \\end{array} \\right) \\qquad A'= \\left( \\begin{array}{cc|c} 1 &amp; 2 &amp; 1 -5\\lambda \\\\[1.1ex] 2 &amp; 3 &amp;5+\\lambda \\end{array} \\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"335\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0623\u062e\u064a\u0631\u064b\u0627\u060c \u0628\u0645\u062c\u0631\u062f \u0623\u0646 \u0646\u0642\u0648\u0645 \u0628\u062a\u062d\u0648\u064a\u0644 \u0627\u0644\u0646\u0638\u0627\u0645\u060c <strong>\u0641\u0625\u0646\u0646\u0627 \u0646\u0637\u0628\u0642 \u0642\u0627\u0639\u062f\u0629 \u0643\u0631\u0627\u0645\u0631<\/strong> . \u0644\u0630\u0644\u0643 \u0646\u062d\u0644 \u0645\u062d\u062f\u062f A :<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f127efbd217e2bca8852ec792610732f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\begin{vmatrix}A \\end{vmatrix}= \\begin{vmatrix} 1 &amp; 2 \\\\[1.1ex] 2 &amp; 3\\end{vmatrix} =-1\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"138\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0644\u062d\u0633\u0627\u0628 \u0627\u0644\u0645\u062c\u0647\u0648\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-757d0eed520b26d08cc3b8b397d0f980_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  x\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"10\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0642\u0627\u0639\u062f\u0629 \u0643\u0631\u0627\u0645\u0631\u060c \u0646\u0642\u0648\u0645 \u0628\u062a\u063a\u064a\u064a\u0631 \u0627\u0644\u0639\u0645\u0648\u062f \u0627\u0644\u0623\u0648\u0644 \u0645\u0646 \u0645\u062d\u062f\u062f A \u0625\u0644\u0649 \u0639\u0645\u0648\u062f \u0627\u0644\u062d\u062f\u0648\u062f \u0627\u0644\u0645\u0633\u062a\u0642\u0644\u0629 \u0648\u0646\u0642\u0633\u0645\u0647 \u0639\u0644\u0649 \u0645\u062d\u062f\u062f A:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-42652a14362b42e606841b6bb3e77cc0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\bm{x} = \\cfrac{\\begin{vmatrix} 1-5\\lambda &amp; 2 \\\\[1.1ex] 5+\\lambda &amp; 3 \\end{vmatrix}}{\\begin{vmatrix} A \\end{vmatrix}} = \\cfrac{3-15\\lambda -(10+2\\lambda)}{-1} = \\cfrac{-7-17\\lambda}{-1} = \\bm{7+17\\lambda}\" title=\"Rendered by QuickLaTeX.com\" height=\"81\" width=\"491\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0644\u062d\u0633\u0627\u0628 \u0627\u0644\u0645\u062c\u0647\u0648\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-5fb4fb8b1addff607711094fd1ed326e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  y\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"9\" style=\"vertical-align: -4px;\"><\/p>\n<p> \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0642\u0627\u0639\u062f\u0629 \u0643\u0631\u0627\u0645\u0631\u060c \u0646\u0642\u0648\u0645 \u0628\u062a\u063a\u064a\u064a\u0631 \u0627\u0644\u0639\u0645\u0648\u062f \u0627\u0644\u062b\u0627\u0646\u064a \u0645\u0646 \u0645\u062d\u062f\u062f A \u0625\u0644\u0649 \u0639\u0645\u0648\u062f \u0627\u0644\u062d\u062f\u0648\u062f \u0627\u0644\u0645\u0633\u062a\u0642\u0644\u0629 \u0648\u0646\u0642\u0633\u0645\u0647 \u0639\u0644\u0649 \u0645\u062d\u062f\u062f A:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-b95c5870f1762a2d82c9ebcccbca7408_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\bm{y} = \\cfrac{\\begin{vmatrix} 1 &amp; 1-5\\lambda \\\\[1.1ex] 2 &amp; 5+\\lambda \\end{vmatrix}}{\\begin{vmatrix} A \\end{vmatrix}} = \\cfrac{5+\\lambda -(2-10\\lambda)}{-1}= \\cfrac{3+11\\lambda}{-1} = \\bm{-3-11\\lambda}\" title=\"Rendered by QuickLaTeX.com\" height=\"81\" width=\"465\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0641\u064a \u062d\u064a\u0646 \u0623\u0646 \u062d\u0644 \u0646\u0638\u0627\u0645 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0647\u0648 \u062f\u0627\u0644\u0629 \u0644\u0640 lect\u060c \u0646\u0638\u0631\u064b\u0627 \u0644\u0623\u0646\u0647 \u0645\u0646 SCI\u060c \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a \u0641\u0625\u0646 \u0644\u062f\u064a\u0647 \u0639\u062f\u062f \u0644\u0627 \u0646\u0647\u0627\u0626\u064a \u0645\u0646 \u0627\u0644\u062d\u0644\u0648\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-5483357f081aca551b07fe7c8f9ebf5d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\bm{x =7+17\\lambda} \\qquad \\bm{y=-3-11\\lambda} \\qquad \\bm{z = \\lambda}\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"311\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\" style=\";text-align:right;direction:rtl\"><\/div>\n<div class=\"adsb30\" style=\" margin:12px; text-align:center;text-align:right;direction:rtl\">\n<div id=\"ezoic-pub-ad-placeholder-119\" style=\";text-align:right;direction:rtl\"><\/div>\n<\/div>\n<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\"> \u062d\u0644 \u0627\u0644\u0645\u0633\u0623\u0644\u0629 \u0627\u0644\u062a\u0627\u0644\u064a\u0629 \u0644\u0646\u0638\u0627\u0645 \u0645\u0646 \u062b\u0644\u0627\u062b \u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0630\u0627\u062a 3 \u0645\u062c\u0627\u0647\u064a\u0644 \u0628\u062a\u0637\u0628\u064a\u0642 \u0642\u0627\u0639\u062f\u0629 \u0643\u0631\u0627\u0645\u0631: <\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-61e1c3458f33b863db10750b9e51d09e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{cases} -2x+5y+z=8 \\\\[1.5ex] 6x+2y+4z=4 \\\\[1.5ex] 3x-2y+z = -2 \\end{cases}\" title=\"Rendered by QuickLaTeX.com\" height=\"97\" width=\"149\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E3F2FD boto_ver_solucion\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E3F2FD\" style=\"text-align:center;text-align:right;direction:rtl\">\n<div class=\"otfm-sp__title\" style=\";text-align:right;direction:rtl\"> <strong>\u0627\u0646\u0638\u0631 \u0627\u0644\u062d\u0644<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0623\u0648\u0644\u0627\u064b\u060c \u0646\u0642\u0648\u0645 \u0628\u0628\u0646\u0627\u0621 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 A \u0648\u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u0645\u0648\u0633\u0639\u0629 A&#8217; \u0644\u0644\u0646\u0638\u0627\u0645:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-743a40010cb4a610e8a3fc6ae5d313b4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  A= \\left( \\begin{array}{ccc}-2 &amp; 5 &amp; 1 \\\\[1.1ex] 6 &amp; 2 &amp; 4 \\\\[1.1ex] 3 &amp; -2 &amp; 1\\end{array} \\right) \\qquad A'= \\left( \\begin{array}{ccc|c} -2 &amp; 5 &amp; 1 &amp; 8 \\\\[1.1ex] 6 &amp; 2 &amp; 4 &amp; 4 \\\\[1.1ex] 3 &amp; -2 &amp; 1 &amp; -2 \\end{array}\\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"85\" width=\"419\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0627\u0644\u0622\u0646 \u062f\u0639\u0648\u0646\u0627 \u0646\u062d\u0633\u0628 \u0631\u062a\u0628\u0629 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 A \u0639\u0646 \u0637\u0631\u064a\u0642 \u062d\u0633\u0627\u0628 \u0645\u062d\u062f\u062f \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 3&#215;3 \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0642\u0627\u0639\u062f\u0629 \u0633\u0627\u0631\u0648\u0633:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-713c634fbc3e1b1cb228e3891c9bff1c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\begin{vmatrix}A \\end{vmatrix}= \\begin{vmatrix} -2 &amp; 5 &amp; 1 \\\\[1.1ex] 6 &amp; 2 &amp; 4 \\\\[1.1ex] 3 &amp; -2 &amp; 1 \\end{vmatrix} = -4+60-12-6-16-30=-8 \\bm{\\neq 0}\" title=\"Rendered by QuickLaTeX.com\" height=\"86\" width=\"453\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u062a\u064a \u0644\u0647\u0627 \u0645\u062d\u062f\u062f \u0645\u0646 \u0627\u0644\u0631\u062a\u0628\u0629 3 \u062a\u062e\u062a\u0644\u0641 \u0639\u0646 0\u060c <strong>\u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 A \u0647\u064a \u0645\u0646 \u0627\u0644\u0645\u0631\u062a\u0628\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-842ae3b68df41813d9e409968f3ae946_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  rg(A)=3\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"77\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a\u060c \u0641\u0625\u0646 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 A&#8217; \u0647\u064a \u0623\u064a\u0636\u064b\u0627 \u0645\u0646 \u0627\u0644\u0645\u0631\u062a\u0628\u0629 3\u060c \u062d\u064a\u062b \u064a\u062c\u0628 \u0623\u0646 \u062a\u0643\u0648\u0646 \u0639\u0644\u0649 \u0627\u0644\u0623\u0642\u0644 \u0645\u0646 \u0646\u0641\u0633 \u0631\u062a\u0628\u0629 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 A \u0648\u0644\u0627 \u064a\u0645\u0643\u0646 \u0623\u0646 \u062a\u0643\u0648\u0646 \u0645\u0646 \u0627\u0644\u0645\u0631\u062a\u0628\u0629 4 \u0644\u0623\u0646\u0647\u0627 \u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u0628\u0639\u062f 3\u00d74.<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-150bbc9c8e363db471c2d5bc4f33e1fd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  rg(A')=3\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"82\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0644\u0630\u0644\u0643\u060c \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 <strong>\u0646\u0638\u0631\u064a\u0629 \u0631\u0648\u0634\u064a\u0647-\u0641\u0631\u0648\u0628\u064a\u0646\u064a\u0648\u0633\u060c<\/strong> \u0646\u0633\u062a\u0646\u062a\u062c \u0623\u0646\u0647 <strong>\u0646\u0638\u0627\u0645 \u0645\u062d\u062f\u062f \u0627\u0644\u062a\u0648\u0627\u0641\u0642<\/strong> (SCD)\u060c \u0644\u0623\u0646 \u0645\u062f\u0649 A \u064a\u0633\u0627\u0648\u064a \u0645\u062f\u0649 A&#8217; \u0648\u0639\u062f\u062f \u0627\u0644\u0645\u062c\u0647\u0648\u0644\u064a\u0646.<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-31b495a48a75d7af1f23e38818bf4eca_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\begin{array}{c} \\begin{array}{c} \\color{black}rg(A) = 3 \\\\[1.3ex] \\color{black}rg(A')=3 \\\\[1.3ex] \\color{black}\\text{N\\'umero de inc\\'ognitas} = 3 \\end{array}} \\\\ \\\\ \\color{blue} \\boxed{ \\color{black}\\phantom{^9_9} rg(A) = rg(A') = n = 3 \\color{blue} \\ \\bm{\\longrightarrow} \\ \\color{black} \\bm{SCD}\\phantom{^9_9}} \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"138\" width=\"436\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0628\u0645\u062c\u0631\u062f \u0623\u0646 \u0646\u0639\u0631\u0641 \u0623\u0646 \u0627\u0644\u0646\u0638\u0627\u0645 \u0647\u0648 SCD\u060c \u0646\u062d\u062a\u0627\u062c \u0625\u0644\u0649 \u062a\u0637\u0628\u064a\u0642 <strong>\u0642\u0627\u0639\u062f\u0629 \u0643\u0631\u0627\u0645\u0631<\/strong> \u0644\u062d\u0644 \u0627\u0644\u0646\u0638\u0627\u0645.<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0644\u062d\u0633\u0627\u0628 \u0627\u0644\u0645\u062c\u0647\u0648\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-757d0eed520b26d08cc3b8b397d0f980_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  x\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"10\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0642\u0627\u0639\u062f\u0629 \u0643\u0631\u0627\u0645\u0631\u060c \u0646\u0642\u0648\u0645 \u0628\u062a\u063a\u064a\u064a\u0631 \u0627\u0644\u0639\u0645\u0648\u062f \u0627\u0644\u0623\u0648\u0644 \u0645\u0646 \u0645\u062d\u062f\u062f A \u0625\u0644\u0649 \u0639\u0645\u0648\u062f \u0627\u0644\u062d\u062f\u0648\u062f \u0627\u0644\u0645\u0633\u062a\u0642\u0644\u0629 \u0648\u0646\u0642\u0633\u0645\u0647 \u0639\u0644\u0649 \u0645\u062d\u062f\u062f A:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-8a290479c69ff806f19dcf29f96e1228_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\bm{x} = \\cfrac{\\begin{vmatrix} 8 &amp; 5 &amp; 1 \\\\[1.1ex] 4 &amp; 2 &amp; 4 \\\\[1.1ex] -2 &amp; -2 &amp; 1\\end{vmatrix}}{\\begin{vmatrix} A \\end{vmatrix}} = \\cfrac{16}{-8} = \\bm{-2}\" title=\"Rendered by QuickLaTeX.com\" height=\"113\" width=\"231\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0644\u062d\u0633\u0627\u0628 \u0627\u0644\u0645\u062c\u0647\u0648\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-5fb4fb8b1addff607711094fd1ed326e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  y\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"9\" style=\"vertical-align: -4px;\"><\/p>\n<p> \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0642\u0627\u0639\u062f\u0629 \u0643\u0631\u0627\u0645\u0631\u060c \u0646\u0642\u0648\u0645 \u0628\u062a\u063a\u064a\u064a\u0631 \u0627\u0644\u0639\u0645\u0648\u062f \u0627\u0644\u062b\u0627\u0646\u064a \u0645\u0646 \u0645\u062d\u062f\u062f A \u0625\u0644\u0649 \u0639\u0645\u0648\u062f \u0627\u0644\u062d\u062f\u0648\u062f \u0627\u0644\u0645\u0633\u062a\u0642\u0644\u0629 \u0648\u0646\u0642\u0633\u0645\u0647 \u0639\u0644\u0649 \u0645\u062d\u062f\u062f A:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-8bba0765fbcbcebf0585520af25b4a30_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\bm{y} = \\cfrac{\\begin{vmatrix}-2 &amp; 8 &amp; 1 \\\\[1.1ex] 6 &amp; 4 &amp; 4 \\\\[1.1ex] 3 &amp; -2 &amp; 1\\end{vmatrix}}{\\begin{vmatrix} A \\end{vmatrix}} = \\cfrac{0}{-6} = \\bm{0}\" title=\"Rendered by QuickLaTeX.com\" height=\"113\" width=\"217\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" 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-23aa090e6102a41de5ad5515112e4d03_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  z\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"9\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0642\u0627\u0639\u062f\u0629 \u0643\u0631\u0627\u0645\u0631\u060c \u0646\u0642\u0648\u0645 \u0628\u062a\u063a\u064a\u064a\u0631 \u0627\u0644\u0639\u0645\u0648\u062f \u0627\u0644\u062b\u0627\u0644\u062b \u0645\u0646 \u0645\u062d\u062f\u062f A \u0625\u0644\u0649 \u0639\u0645\u0648\u062f \u0627\u0644\u062d\u062f\u0648\u062f \u0627\u0644\u0645\u0633\u062a\u0642\u0644\u0629 \u0648\u0646\u0642\u0633\u0645\u0647 \u0639\u0644\u0649 \u0645\u062d\u062f\u062f A:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-5bc157a8c4dfe8ee4651affac68ef878_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\bm{z} = \\cfrac{\\begin{vmatrix} -2 &amp; 5 &amp; 8 \\\\[1.1ex] 6 &amp; 2 &amp; 4 \\\\[1.1ex] 3 &amp; -2 &amp; -2\\end{vmatrix}}{\\begin{vmatrix} A \\end{vmatrix}} = \\cfrac{-32}{-8} = \\bm{4}\" title=\"Rendered by QuickLaTeX.com\" height=\"113\" width=\"247\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a \u0641\u0625\u0646 \u062d\u0644 \u0646\u0638\u0627\u0645 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0627\u0644\u062e\u0637\u064a\u0629 \u0647\u0648: <\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-6c004c5c466235d2d1a784707145d952_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\bm{x =-2 \\qquad y=0 \\qquad z=4}\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"211\" style=\"vertical-align: -4px;\"><\/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\"> \u062d\u0644 \u0646\u0638\u0627\u0645 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0627\u0644\u062e\u0637\u064a\u0629 \u0627\u0644\u062a\u0627\u0644\u064a \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0642\u0627\u0639\u062f\u0629 \u0643\u0631\u0627\u0645\u0631: <\/p>\n<div class=\"wp-block-image\" style=\";text-align:right;direction:rtl\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/exemple-comment-resoudre-un-systeme-dequations-avec-la-regle-de-cramer.webp\" alt=\"\u0645\u062b\u0627\u0644 \u0639\u0644\u0649 \u062d\u0644 \u0646\u0638\u0627\u0645 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0628\u0642\u0627\u0639\u062f\u0629 \u0643\u0631\u064a\u0645\u0631\" class=\"wp-image-4008\" width=\"215\" height=\"127\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\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\"> \u0646\u0642\u0648\u0645 \u0623\u0648\u0644\u0627\u064b \u0628\u0625\u0646\u0634\u0627\u0621 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 A \u0648\u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u0645\u0648\u0633\u0639\u0629 A&#8217; \u0644\u0644\u0646\u0638\u0627\u0645:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f5153b5951b768cc3cafa2bb2567ba92_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  A= \\left( \\begin{array}{ccc} 3 &amp; -2 &amp; -3 \\\\[1.1ex] -1 &amp; 5 &amp; 4 \\\\[1.1ex] 5 &amp; 1 &amp; -2 \\end{array} \\right) \\qquad A'= \\left( \\begin{array}{ccc|c} 3 &amp; -2 &amp; -3 &amp; 4 \\\\[1.1ex] -1 &amp; 5 &amp; 4 &amp; -10 \\\\[1.1ex] 5 &amp; 1 &amp; -2 &amp; -2 \\end{array}\\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"85\" width=\"455\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0646\u062d\u0633\u0628 \u0645\u062f\u0649 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 A: <\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f3778c9499e2a44ea3834dfed1523163_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\begin{vmatrix}A \\end{vmatrix}= \\begin{vmatrix} 3 &amp; -2 &amp; -3 \\\\[1.1ex] -1 &amp; 5 &amp; 4 \\\\[1.1ex] 5 &amp; 1 &amp; -2 \\end{vmatrix} =-30-40+3+75-12+4=0\" title=\"Rendered by QuickLaTeX.com\" height=\"86\" width=\"426\" 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-03d70742b14ced92f33963df0c86e92f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\begin{vmatrix} 3 &amp; -2 \\\\[1.1ex] -1 &amp; 5  \\end{vmatrix} = 15- (2)= 13 \\neq 0\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"231\" 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-eded270b78ab3d95ce827e3ea428efb1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  rg(A)=2\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"76\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0628\u0645\u062c\u0631\u062f \u0623\u0646 \u0646\u0639\u0631\u0641 \u0645\u062f\u0649 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 A\u060c \u0646\u062d\u0633\u0628 \u0645\u062f\u0649 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 A&#8217;. \u0645\u062d\u062f\u062f \u0627\u0644\u0623\u0639\u0645\u062f\u0629 \u0627\u0644\u062b\u0644\u0627\u062b\u0629 \u0627\u0644\u0623\u0648\u0644\u0649 \u064a\u0639\u0637\u064a 0\u060c \u0644\u0630\u0644\u0643 \u062c\u0631\u0628\u0646\u0627 \u0627\u0644\u0645\u062d\u062f\u062f\u0627\u062a \u0627\u0644\u0623\u062e\u0631\u0649 3\u00d73 \u0641\u064a \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 A&#8217;:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-5bed93d532ae4ccd4649a73662f55f0f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\begin{vmatrix} -2 &amp; -3 &amp; 4 \\\\[1.1ex] 5 &amp; 4 &amp; -10 \\\\[1.1ex]  1 &amp; -2 &amp; -2 \\end{vmatrix} = 0 \\qquad \\begin{vmatrix}3 &amp; -3 &amp; 4 \\\\[1.1ex] -1 &amp; 4 &amp; -10 \\\\[1.1ex] 5 &amp; -2 &amp; -2\\end{vmatrix} = 0 \\qquad \\begin{vmatrix} 3 &amp; -2 &amp; 4 \\\\[1.1ex] -1 &amp; 5 &amp; -10 \\\\[1.1ex] 5 &amp; 1 &amp;-2\\end{vmatrix} = 0\" title=\"Rendered by QuickLaTeX.com\" height=\"86\" width=\"535\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u062c\u0645\u064a\u0639 \u0645\u062d\u062f\u062f\u0627\u062a \u0627\u0644\u0631\u062a\u0628\u0629 3 \u062a\u0639\u0637\u064a 0. \u0644\u0643\u0646 \u0645\u0646 \u0627\u0644\u0648\u0627\u0636\u062d \u0623\u0646 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 A&#8217; \u0644\u0647\u0627 \u0646\u0641\u0633 \u0645\u062d\u062f\u062f \u0627\u0644\u0631\u062a\u0628\u0629 2 \u0628\u062e\u0644\u0627\u0641 0 \u0645\u062b\u0644 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 A:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-858d95d7d252b16706b66c0e6aba09c4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\begin{vmatrix} 3 &amp; -2 \\\\[1.1ex] -1 &amp; 5 \\end{vmatrix} = 13 \\neq 0\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"145\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0648\u0644\u0630\u0644\u0643\u060c \u0641\u0625\u0646 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 A&#8217; \u0647\u064a \u0623\u064a\u0636\u064b\u0627 \u0645\u0646 \u0627\u0644\u0645\u0631\u062a\u0628\u0629 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-80398cfd2fff647f81c0d4160f3b2f7e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  rg(A')=2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"81\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0631\u062a\u0628\u0629 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 A \u062a\u0633\u0627\u0648\u064a \u0631\u062a\u0628\u0629 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 A&#8217; \u0644\u0643\u0646 \u0647\u0627\u062a\u064a\u0646 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u062a\u064a\u0646 \u0623\u0635\u063a\u0631 \u0645\u0646 \u0639\u062f\u062f \u0627\u0644\u0645\u062c\u0647\u0648\u0644\u0627\u062a \u0641\u064a \u0627\u0644\u0646\u0638\u0627\u0645 (3)\u060c \u0644\u0630\u0644\u0643 \u0645\u0646 \u062e\u0644\u0627\u0644 <strong>\u0646\u0638\u0631\u064a\u0629 Rouch\u00e9-Frobenius<\/strong> \u0646\u0639\u0631\u0641 \u0623\u0646\u0647 <strong>\u0646\u0638\u0627\u0645 \u063a\u064a\u0631 \u0645\u062d\u062f\u062f \u0645\u062a\u0648\u0627\u0641\u0642<\/strong> (SCI). :<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-96868a2569ea0ab5ca99d8dc606d3dc9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\begin{array}{c} \\begin{array}{c} \\color{black}rg(A) = 2 \\\\[1.3ex] \\color{black}rg(A')=2 \\\\[1.3ex] \\color{black}\\text{N\\'umero de inc\\'ognitas} = 3    \\end{array}} \\\\ \\\\  \\color{blue} \\boxed{ \\color{black}\\phantom{^9_9} rg(A) = rg(A') = 2 \\ < \\ n =3  \\color{blue} \\ \\bm{\\longrightarrow} \\ \\color{black} \\bm{SCI}\\phantom{^9_9}} \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"138\" width=\"475\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0643\u0648\u0646\u0646\u0627 \u0646\u0638\u0627\u0645 ICS\u060c \u0639\u0644\u064a\u0646\u0627 \u062d\u0630\u0641 \u0645\u0639\u0627\u062f\u0644\u0629 \u0648\u0627\u062d\u062f\u0629. \u0641\u064a \u0647\u0630\u0647 \u0627\u0644\u062d\u0627\u0644\u0629 <strong>\u0633\u0648\u0641 \u0646\u0642\u0648\u0645 \u0628\u062d\u0630\u0641 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u0623\u062e\u064a\u0631\u0629<\/strong> \u0645\u0646 \u0627\u0644\u0646\u0638\u0627\u0645:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-4e10bd826663dff41c4272610cbc07b1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{cases} 3x-2y-3z=4 \\\\[1.5ex] -x+5y+4z=-10 \\\\[1.5ex]\\cancel{5x+y-2z = -2} \\end{cases} \\longrightarrow \\quad \\begin{cases} 3x-2y-3z=4 \\\\[1.5ex] -x+5y+4z=-10\\end{cases}\" title=\"Rendered by QuickLaTeX.com\" height=\"97\" width=\"423\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> <strong>\u0627\u0644\u0622\u0646 \u062f\u0639\u0648\u0646\u0627 \u0646\u062d\u0648\u0644 \u0627\u0644\u0645\u062a\u063a\u064a\u0631 z \u0625\u0644\u0649 lect:<\/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-2502be450040b38761c08e5d6beaf379_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{cases} 3x-2y-3z=4 \\\\[1.5ex] -x+5y+4z=-10  \\end{cases} \\xrightarrow{z \\ = \\ \\lambda}\\quad \\begin{cases} 3x-2y-3\\lambda=4 \\\\[1.5ex] -x+5y+4\\lambda=-10\\end{cases}\" title=\"Rendered by QuickLaTeX.com\" height=\"65\" width=\"444\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0648\u0646\u0636\u0639 \u0627\u0644\u062d\u062f\u0648\u062f \u0645\u0639 \u03b1 \u0645\u0639 \u0627\u0644\u062d\u062f\u0648\u062f \u0627\u0644\u0645\u0633\u062a\u0642\u0644\u0629:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-80a43d98e6be30965d554e8a89aa5d89_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{cases} 3x-2y=4+3\\lambda \\\\[1.5ex] -x+5y=-10-4\\lambda\\end{cases}\" title=\"Rendered by QuickLaTeX.com\" height=\"65\" width=\"172\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0628\u062d\u064a\u062b \u062a\u0628\u0642\u0649 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 A \u0648\u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 A&#8217; \u0644\u0644\u0646\u0638\u0627\u0645:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-3451ce571163983cf41794d4998283d6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  A= \\left( \\begin{array}{ccc} 3 &amp; -2  \\\\[1.1ex] -1 &amp; 5 \\end{array} \\right) \\qquad A'= \\left( \\begin{array}{cc|c} 3 &amp; -2 &amp; 4+3\\lambda \\\\[1.1ex] 1 &amp; 5 &amp;-10-4\\lambda \\end{array} \\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"399\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0623\u062e\u064a\u0631\u064b\u0627\u060c \u0628\u0645\u062c\u0631\u062f \u0623\u0646 \u0646\u0642\u0648\u0645 \u0628\u062a\u062d\u0648\u064a\u0644 \u0627\u0644\u0646\u0638\u0627\u0645\u060c <strong>\u0641\u0625\u0646\u0646\u0627 \u0646\u0637\u0628\u0642 \u0642\u0627\u0639\u062f\u0629 \u0643\u0631\u0627\u0645\u0631<\/strong> . \u0644\u0630\u0644\u0643 \u0646\u062d\u0644 \u0645\u062d\u062f\u062f A:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-0e7a7d6208ea5e762f5c74a44e6838cf_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\begin{vmatrix}A \\end{vmatrix}= \\begin{vmatrix}3&amp; -2 \\\\[1.1ex] -1 &amp; 5\\end{vmatrix} =13\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"162\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0644\u062d\u0633\u0627\u0628 \u0627\u0644\u0645\u062c\u0647\u0648\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-757d0eed520b26d08cc3b8b397d0f980_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  x\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"10\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0642\u0627\u0639\u062f\u0629 \u0643\u0631\u0627\u0645\u0631\u060c \u0646\u0642\u0648\u0645 \u0628\u062a\u063a\u064a\u064a\u0631 \u0627\u0644\u0639\u0645\u0648\u062f \u0627\u0644\u0623\u0648\u0644 \u0645\u0646 \u0645\u062d\u062f\u062f A \u0625\u0644\u0649 \u0639\u0645\u0648\u062f \u0627\u0644\u062d\u062f\u0648\u062f \u0627\u0644\u0645\u0633\u062a\u0642\u0644\u0629 \u0648\u0646\u0642\u0633\u0645\u0647 \u0639\u0644\u0649 \u0645\u062d\u062f\u062f A:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-8c30fcc0526c2d4112eb4f60a3d8847f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\bm{x} = \\cfrac{\\begin{vmatrix} 4+3\\lambda &amp; -2 \\\\[1.1ex]-10-4\\lambda &amp; 5\\end{vmatrix}}{\\begin{vmatrix} A \\end{vmatrix}} = \\cfrac{20+15\\lambda -(20+8\\lambda)}{13} = \\cfrac{\\bm{7\\lambda}}{\\bm{13}}\" title=\"Rendered by QuickLaTeX.com\" height=\"81\" width=\"394\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0644\u062d\u0633\u0627\u0628 \u0627\u0644\u0645\u062c\u0647\u0648\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-5fb4fb8b1addff607711094fd1ed326e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  y\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"9\" style=\"vertical-align: -4px;\"><\/p>\n<p> \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0642\u0627\u0639\u062f\u0629 \u0643\u0631\u0627\u0645\u0631\u060c \u0646\u0642\u0648\u0645 \u0628\u062a\u063a\u064a\u064a\u0631 \u0627\u0644\u0639\u0645\u0648\u062f \u0627\u0644\u062b\u0627\u0646\u064a \u0645\u0646 \u0645\u062d\u062f\u062f A \u0625\u0644\u0649 \u0639\u0645\u0648\u062f \u0627\u0644\u062d\u062f\u0648\u062f \u0627\u0644\u0645\u0633\u062a\u0642\u0644\u0629 \u0648\u0646\u0642\u0633\u0645\u0647 \u0639\u0644\u0649 \u0645\u062d\u062f\u062f A:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-fdb22a54274e019c811c9051502c474a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\bm{y} = \\cfrac{\\begin{vmatrix} 3 &amp; 4+3\\lambda \\\\[1.1ex] -1 &amp; -10-4\\lambda\\end{vmatrix}}{\\begin{vmatrix} A \\end{vmatrix}} = \\cfrac{-30-12\\lambda -(-4-3\\lambda)}{13}= \\cfrac{\\bm{-26-9\\lambda}}{\\bm{13}}\" title=\"Rendered by QuickLaTeX.com\" height=\"81\" width=\"473\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a\u060c \u0641\u0625\u0646 \u062d\u0644 \u0646\u0638\u0627\u0645 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0647\u0648 \u062f\u0627\u0644\u0629 \u0644\u0640 lect\u060c \u0646\u0638\u0631\u064b\u0627 \u0644\u0623\u0646\u0647 \u0645\u0646 SCI\u060c \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a \u0641\u0625\u0646 \u0627\u0644\u0646\u0638\u0627\u0645 \u0644\u062f\u064a\u0647 \u0639\u062f\u062f \u0644\u0627 \u0646\u0647\u0627\u0626\u064a \u0645\u0646 \u0627\u0644\u062d\u0644\u0648\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-d0e525b9aca6bd683491ab7950f039e3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\bm{x=} \\cfrac{\\bm{7\\lambda}}{\\bm{13}} \\qquad \\bm{y=} \\cfrac{\\bm{-26-9\\lambda}}{\\bm{13}} \\qquad \\bm{z = \\lambda}\" title=\"Rendered by QuickLaTeX.com\" height=\"39\" width=\"266\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\" style=\";text-align:right;direction:rtl\"><\/div>\n","protected":false},"excerpt":{"rendered":"<p>\u0633\u062a\u0634\u0627\u0647\u062f \u0641\u064a \u0647\u0630\u0647 \u0627\u0644\u0635\u0641\u062d\u0629 \u0645\u0627 \u0647\u064a \u0642\u0627\u0639\u062f\u0629 \u0643\u0631\u0627\u0645\u0631\u060c \u0628\u0627\u0644\u0625\u0636\u0627\u0641\u0629 \u0625\u0644\u0649 \u0630\u0644\u0643\u060c \u0633\u062a\u062c\u062f \u0623\u0645\u062b\u0644\u0629 \u0648\u062a\u0645\u0627\u0631\u064a\u0646 \u0644\u062d\u0644 \u0623\u0646\u0638\u0645\u0629 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0645\u0646 \u062e\u0644\u0627\u0644 \u0642\u0627\u0639\u062f\u0629 \u0643\u0631\u0627\u0645\u0631. \u0645\u0627 \u0647\u064a \u0642\u0627\u0639\u062f\u0629 \u0643\u0631\u064a\u0645\u0631\u061f \u0642\u0627\u0639\u062f\u0629 \u0643\u0631\u0627\u0645\u0631 \u0647\u064a \u0637\u0631\u064a\u0642\u0629 \u062a\u0633\u062a\u062e\u062f\u0645 \u0644\u062d\u0644 \u0623\u0646\u0638\u0645\u0629 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0628\u0648\u0627\u0633\u0637\u0629 \u0627\u0644\u0645\u062d\u062f\u062f\u0627\u062a. \u062f\u0639\u0648\u0646\u0627 \u0646\u0631\u0649 \u0643\u064a\u0641 \u064a\u062a\u0645 \u0627\u0633\u062a\u062e\u062f\u0627\u0645\u0647: \u0627\u0644\u0646\u0638\u0631 \u0641\u064a \u0646\u0638\u0627\u0645 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0627\u062a: \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 A \u0648\u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u0645\u0648\u0633\u0639\u0629 A&#8217; \u0644\u0644\u0646\u0638\u0627\u0645 \u0647\u0645\u0627: \u062a\u0646\u0635 \u0642\u0627\u0639\u062f\u0629 \u0643\u0631\u064a\u0645\u0631 \u0639\u0644\u0649 &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/ar\/%d8%a3%d9%85%d8%ab%d9%84%d8%a9-%d8%b9%d9%84%d9%89-%d8%a7%d9%84%d9%82%d9%88%d8%a7%d8%b9%d8%af-%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-%d9%84%d9%83%d8%b1%d8%a7\/\"> <span class=\"screen-reader-text\">\u062d\u0643\u0645 \u0643\u0631\u064a\u0645\u0631<\/span> \u0642\u0631\u0627\u0621\u0629 \u0627\u0644\u0645\u0632\u064a\u062f &raquo;<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"","footnotes":""},"categories":[18],"tags":[],"class_list":["post-308","post","type-post","status-publish","format-standard","hentry","category-18"],"yoast_head":"<!-- This site is optimized 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