{"id":309,"date":"2023-07-06T14:08:28","date_gmt":"2023-07-06T14:08:28","guid":{"rendered":"https:\/\/mathority.org\/ar\/%d9%85%d9%86%d8%a7%d9%82%d8%b4%d8%a9-%d8%a3%d9%86%d8%b8%d9%85%d8%a9-%d8%a7%d9%84%d9%85%d8%b9%d8%a7%d8%af%d9%84%d8%a7%d8%aa-%d9%85%d8%b9-%d8%a7%d9%84%d9%85%d8%b9%d9%84%d9%85%d8%a7%d8%aa\/"},"modified":"2023-07-06T14:08:28","modified_gmt":"2023-07-06T14:08:28","slug":"%d9%85%d9%86%d8%a7%d9%82%d8%b4%d8%a9-%d8%a3%d9%86%d8%b8%d9%85%d8%a9-%d8%a7%d9%84%d9%85%d8%b9%d8%a7%d8%af%d9%84%d8%a7%d8%aa-%d9%85%d8%b9-%d8%a7%d9%84%d9%85%d8%b9%d9%84%d9%85%d8%a7%d8%aa","status":"publish","type":"post","link":"https:\/\/mathority.org\/ar\/%d9%85%d9%86%d8%a7%d9%82%d8%b4%d8%a9-%d8%a3%d9%86%d8%b8%d9%85%d8%a9-%d8%a7%d9%84%d9%85%d8%b9%d8%a7%d8%af%d9%84%d8%a7%d8%aa-%d9%85%d8%b9-%d8%a7%d9%84%d9%85%d8%b9%d9%84%d9%85%d8%a7%d8%aa\/","title":{"rendered":"\u0645\u0646\u0627\u0642\u0634\u0629 \u0623\u0646\u0638\u0645\u0629 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0645\u0639 \u0627\u0644\u0645\u0639\u0644\u0645\u0627\u062a"},"content":{"rendered":"<p style=\";text-align:right;direction:rtl\">\u0641\u064a \u0647\u0630\u0647 \u0627\u0644\u0635\u0641\u062d\u0629 \u0633\u0648\u0641 \u0646\u0631\u0649 \u0643\u064a\u0641\u064a\u0629 \u0645\u0646\u0627\u0642\u0634\u0629 \u0648\u062d\u0644 <strong>\u0646\u0638\u0627\u0645 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0645\u0639 \u0627\u0644\u0645\u0639\u0644\u0645\u0627\u062a<\/strong> . \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 \u0645\u062d\u0644\u0648\u0644\u0629 \u0644\u0623\u0646\u0638\u0645\u0629 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0627\u0644\u062e\u0637\u064a\u0629 \u0644\u0644\u062a\u062f\u0631\u0628 \u0639\u0644\u064a\u0647\u0627.<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0645\u0646 \u0646\u0627\u062d\u064a\u0629 \u0623\u062e\u0631\u0649\u060c \u0644\u062a\u062d\u0644\u064a\u0644 \u0623\u0646\u0638\u0645\u0629 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0627\u0644\u062e\u0637\u064a\u0629\u060c \u0645\u0646 \u0627\u0644\u0645\u0647\u0645 \u0623\u0646 \u062a\u0639\u0631\u0641 <a href=\"https:\/\/mathority.org\/ar\/\u0627\u0654\u0645\u062b\u0644\u0629-\u0639\u0644\u0649-\u0627\u0644\u0642\u0648\u0627\u0639\u062f-\u0648\u062a\u0645\u0627\u0631\u064a\u0646-\u0645\u062d\u0644\u0648\u0644\u0629-\u0644\u0643\u0631\u0627\u0645\u0631\/\">\u0645\u0627 \u0647\u064a \u0642\u0627\u0639\u062f\u0629 \u0643\u0631\u0627\u0645\u0631<\/a> \u0648\u0645\u0627 <a href=\"https:\/\/mathority.org\/ar\/\u0646\u0638\u0631\u064a\u0629-\u062f\u064a-\u0631\u0648\u0634-\u0641\u0631\u0648\u0628\u064a\u0646\u064a\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\/\">\u0647\u064a \u0646\u0638\u0631\u064a\u0629 \u0631\u0648\u0634\u064a\u0647-\u0641\u0631\u0648\u0628\u064a\u0646\u064a\u0648\u0633<\/a> \u060c \u0644\u0623\u0646\u0646\u0627 \u0633\u0646\u0633\u062a\u062e\u062f\u0645\u0647\u0645\u0627 \u0628\u0627\u0633\u062a\u0645\u0631\u0627\u0631.<\/p>\n<h2 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"> \u0645\u062b\u0627\u0644 \u0644\u0646\u0638\u0627\u0645 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0627\u0644\u062e\u0637\u064a\u0629 \u0645\u0639 \u0627\u0644\u0645\u0639\u0644\u0645\u0627\u062a<\/h2>\n<ul style=\";text-align:right;direction:rtl\">\n<li style=\";text-align:right;direction:rtl\"> \u0646\u0627\u0642\u0634 \u0648\u062d\u0644 \u0646\u0638\u0627\u0645 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0627\u0644\u062a\u0627\u0644\u064a \u0628\u062f\u0644\u0627\u0644\u0629 \u0627\u0644\u0645\u0639\u0644\u0645\u0629 <em>m<\/em> :<\/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-6ab2286d15c20029b98a5ea4622033d4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{cases} x+y+2z= 2 \\\\[1.5ex] -x+my+2z=0 \\\\[1.5ex] 3x+mz = 4\\end{cases}\" title=\"Rendered by QuickLaTeX.com\" height=\"97\" width=\"155\" 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-bef8e6b26595703c77c65178cbf90ffc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  A= \\left( \\begin{array}{ccc}1 &amp; 1 &amp; 2 \\\\[1.1ex] -1 &amp; m &amp; 2 \\\\[1.1ex] 3 &amp; 0 &amp; m \\end{array} \\right) \\qquad A'= \\left( \\begin{array}{ccc|c} 1 &amp; 1 &amp; 2 &amp; 2 \\\\[1.1ex] -1 &amp; m &amp; 2 &amp; 0 \\\\[1.1ex] 3 &amp; 0 &amp; m &amp; 4 \\end{array} \\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"85\" width=\"404\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0627\u0644\u0622\u0646 \u0646\u062d\u0644 \u0645\u062d\u062f\u062f A \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0642\u0627\u0639\u062f\u0629 \u0633\u0627\u0631\u0648\u0633 \u0644\u0645\u0639\u0631\u0641\u0629 \u0631\u062a\u0628\u0629 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-e823f83f25f798bd854612a7352680d4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\begin{aligned}  \\begin{vmatrix}A \\end{vmatrix}= \\begin{vmatrix} 1 &amp; 1 &amp; 2 \\\\[1.1ex] -1 &amp; m &amp; 2 \\\\[1.1ex] 3 &amp; 0 &amp; m \\end{vmatrix} &amp; =m^2+6+0-6m-0+m \\\\ &amp; = m^2-5m+6 \\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"110\" width=\"366\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0644\u0630\u0627 \u0641\u0625\u0646 \u0646\u062a\u064a\u062c\u0629 \u0645\u062d\u062f\u062f A \u062a\u0639\u062a\u0645\u062f \u0639\u0644\u0649 \u0642\u064a\u0645\u0629 <em>m<\/em> . \u0644\u0630\u0644\u0643 \u0633\u0646\u0631\u0649 \u0623\u064a \u0642\u064a\u0645 <em>m<\/em> \u0633\u064a\u062e\u062a\u0641\u064a \u0627\u0644\u0645\u062d\u062f\u062f. \u0644\u0644\u0642\u064a\u0627\u0645 \u0628\u0630\u0644\u0643\u060c <strong>\u0642\u0645\u0646\u0627 \u0628\u062a\u0639\u064a\u064a\u0646 \u0627\u0644\u0646\u062a\u064a\u062c\u0629 \u062a\u0633\u0627\u0648\u064a 0<\/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-a2101d9a1d88f3e3d29bb4758d2fb8a6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle   m^2-5m+6 = 0\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"133\" style=\"vertical-align: -2px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0648\u0646\u062d\u0644 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u062a\u0631\u0628\u064a\u0639\u064a\u0629 \u0628\u0627\u0644\u0635\u064a\u063a\u0629:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-51910dd69f9df6fdde6dd7597f889700_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  m = \\cfrac{-b \\pm \\sqrt{b^2-4ac}}{2a}\" title=\"Rendered by QuickLaTeX.com\" height=\"41\" width=\"170\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-e863082ac1f9b43df4de9fe93f5eb305_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  m = \\cfrac{-(-5) \\pm \\sqrt{(-5)^2-4\\cdot 1 \\cdot 6}}{2 \\cdot 1} = \\cfrac{5 \\pm \\sqrt{25-24}}{2} =\\cfrac{5 \\pm 1}{2} = \\begin{cases} \\bm{m = 3} \\\\[2ex] \\bm{m =2} \\end{cases}\" title=\"Rendered by QuickLaTeX.com\" height=\"65\" width=\"537\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0644\u0630\u0644\u0643 \u0639\u0646\u062f\u0645\u0627 \u064a\u0643\u0648\u0646 <em>m<\/em> \u064a\u0633\u0627\u0648\u064a 2 \u0623\u0648 3\u060c \u0641\u0625\u0646 \u0645\u062d\u062f\u062f A \u0633\u064a\u0643\u0648\u0646 0. \u0648\u0639\u0646\u062f\u0645\u0627 \u064a\u0643\u0648\u0646 <em>m<\/em> \u0645\u062e\u062a\u0644\u0641\u064b\u0627 \u0639\u0646 2 \u0648\u0645\u062e\u062a\u0644\u0641\u064b\u0627 \u0639\u0646 3\u060c \u0641\u0625\u0646 \u0645\u062d\u062f\u062f A \u0633\u064a\u0643\u0648\u0646 \u0645\u062e\u062a\u0644\u0641\u064b\u0627 \u0639\u0646 0.<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0648\u0644\u0630\u0644\u0643 \u064a\u062c\u0628 \u0639\u0644\u064a\u0646\u0627 \u062a\u062d\u0644\u064a\u0644 \u0643\u0644 \u062d\u0627\u0644\u0629 \u0639\u0644\u0649 \u062d\u062f\u0629:<\/p>\n<p style=\"font-size:26px;text-align:right;direction:rtl\"> <span style=\"color:#1976d2;\"><strong>\u0645 \u2260 3 \u0648 \u0645 \u2260 2:<\/strong><\/span><\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0643\u0645\u0627 \u0631\u0623\u064a\u0646\u0627 \u0644\u0644\u062a\u0648\u060c \u0639\u0646\u062f\u0645\u0627 \u062a\u0643\u0648\u0646 \u0627\u0644\u0645\u0639\u0644\u0645\u0629 <em>m<\/em> \u0645\u062e\u062a\u0644\u0641\u0629 \u0639\u0646 2 \u0648 3\u060c \u0641\u0625\u0646 \u0645\u062d\u062f\u062f \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 A \u064a\u062e\u062a\u0644\u0641 \u0639\u0646 0. \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a\u060c <strong>\u0641\u0625\u0646 \u0631\u062a\u0628\u0629 A \u0647\u064a 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\"> \u0639\u0644\u0627\u0648\u0629 \u0639\u0644\u0649 \u0630\u0644\u0643\u060c <strong>\u0641\u0625\u0646 \u0631\u062a\u0628\u0629 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 A&#8217; \u0647\u064a \u0623\u064a\u0636\u064b\u0627 3<\/strong> \u060c \u0644\u0623\u0646 \u0628\u062f\u0627\u062e\u0644\u0647\u0627 \u0645\u0635\u0641\u0648\u0641\u0629 \u0641\u0631\u0639\u064a\u0629 3\u00d73 \u064a\u062e\u062a\u0644\u0641 \u0645\u062d\u062f\u062f\u0647\u0627 \u0639\u0646 0. \u0648\u0644\u0627 \u064a\u0645\u0643\u0646 \u0623\u0646 \u062a\u0643\u0648\u0646 \u0645\u0646 \u0627\u0644\u0631\u062a\u0628\u0629 4 \u0644\u0623\u0646\u0646\u0627 \u0644\u0627 \u0646\u0633\u062a\u0637\u064a\u0639 \u0625\u0646\u0634\u0627\u0621 \u0645\u062d\u062f\u062f 4\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 style=\";text-align:right;direction:rtl\"> \u062b\u0645\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; \u0648\u0639\u062f\u062f \u0627\u0644\u0645\u062c\u0647\u0648\u0644\u0627\u062a \u0641\u064a \u0627\u0644\u0646\u0638\u0627\u0645 (3)\u060c \u0641\u0645\u0646 \u062e\u0644\u0627\u0644 <strong>\u0646\u0638\u0631\u064a\u0629 Rouch\u00e9-Frobenius<\/strong> \u0646\u0639\u0644\u0645 \u0623\u0646\u0647 <strong>\u0646\u0638\u0627\u0645 \u0645\u062d\u062f\u062f \u0645\u062a\u0648\u0627\u0641\u0642<\/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 \u0646\u0638\u0627\u0645 \u0645\u062d\u062f\u062f \u0645\u062a\u0648\u0627\u0641\u0642 (DCS)\u060c \u0641\u0625\u0646\u0646\u0627 \u0646\u0637\u0628\u0642 <strong>\u0642\u0627\u0639\u062f\u0629 \u0643\u0631\u0627\u0645\u0631<\/strong> \u0644\u062d\u0644\u0647. \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-bef8e6b26595703c77c65178cbf90ffc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  A= \\left( \\begin{array}{ccc}1 &amp; 1 &amp; 2 \\\\[1.1ex] -1 &amp; m &amp; 2 \\\\[1.1ex] 3 &amp; 0 &amp; m \\end{array} \\right) \\qquad A'= \\left( \\begin{array}{ccc|c} 1 &amp; 1 &amp; 2 &amp; 2 \\\\[1.1ex] -1 &amp; m &amp; 2 &amp; 0 \\\\[1.1ex] 3 &amp; 0 &amp; m &amp; 4 \\end{array} \\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"85\" width=\"404\" 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-aac47361358555f733a42cffecabdbe9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\begin{vmatrix}A \\end{vmatrix}= \\begin{vmatrix} 1 &amp; 1 &amp; 2 \\\\[1.1ex] -1 &amp; m &amp; 2 \\\\[1.1ex] 3 &amp; 0 &amp; m \\end{vmatrix} = m^2-5m+6\" title=\"Rendered by QuickLaTeX.com\" height=\"86\" width=\"268\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0644\u062d\u0633\u0627\u0628 x \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 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 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-b17f49436fdadbb014011b5c461a4a56_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\bm{x} = \\cfrac{\\begin{vmatrix} 2 &amp; 1 &amp; 2\\\\[1.1ex]0&amp;m&amp;2 \\\\[1.1ex] 4 &amp; 0 &amp; m \\end{vmatrix}}{\\begin{vmatrix} A \\end{vmatrix}} = \\cfrac{2m^2+8-8m}{m^2-5m+6}\" title=\"Rendered by QuickLaTeX.com\" height=\"113\" width=\"257\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0644\u062d\u0633\u0627\u0628 y \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-6a2bf75bdabfb2c83870f1869ce19e3d_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; 0 &amp; 2 \\\\[1.1ex] 3 &amp; 4 &amp; m \\end{vmatrix}}{\\begin{vmatrix} A \\end{vmatrix}}=\\cfrac{-4+2m}{m^2-5m+6}\" title=\"Rendered by QuickLaTeX.com\" height=\"113\" width=\"255\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0644\u062d\u0633\u0627\u0628 z \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-eebb3c4d280afc8a9aed8877ddcd4ac5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\bm{z} = \\cfrac{\\begin{vmatrix}  1 &amp; 1 &amp; 2 \\\\[1.1ex] -1 &amp; m &amp; 0 \\\\[1.1ex] 3 &amp; 0 &amp; 4\\end{vmatrix}}{\\begin{vmatrix} A \\end{vmatrix}} = \\cfrac{-2m+4}{m^2-5m+6}\" title=\"Rendered by QuickLaTeX.com\" height=\"113\" width=\"254\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0648\u0644\u0630\u0644\u0643 \u0641\u0625\u0646 \u062d\u0644 \u0646\u0638\u0627\u0645 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0644\u0644\u062d\u0627\u0644\u0629 m\u22603 \u0648m\u22602 \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-7cba73a14f41d3314575e075f1229e87_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\bm{x =} \\cfrac{\\bm{2m^2+8-8m}}{\\bm{m^2-5m+6}} \\qquad \\bm{y=} \\cfrac{\\bm{-4+2m}}{\\bm{m^2-5m+6}} \\qquad \\bm{z =} \\cfrac{\\bm{-2m+4}}{\\bm{m^2-5m+6}}\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"470\" style=\"vertical-align: -14px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0643\u0645\u0627 \u062a\u0631\u0648\u0646\u060c \u0641\u064a \u0647\u0630\u0647 \u0627\u0644\u062d\u0627\u0644\u0629 \u062d\u0644 \u0646\u0638\u0627\u0645 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0647\u0648 \u062f\u0627\u0644\u0629 \u0644\u0640 m.<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0628\u0645\u062c\u0631\u062f \u0625\u064a\u062c\u0627\u062f \u0627\u0644\u062d\u0644 \u0639\u0646\u062f\u0645\u0627 \u064a\u0643\u0648\u0646 m \u0645\u062e\u062a\u0644\u0641\u064b\u0627 \u0639\u0646 2 \u0648 3\u060c \u0633\u0646\u062d\u0644 \u0627\u0644\u0646\u0638\u0627\u0645 \u0639\u0646\u062f\u0645\u0627 \u064a\u0643\u0648\u0646 m \u064a\u0633\u0627\u0648\u064a 2:<\/p>\n<div class=\"adsb30\" style=\" margin:px; text-align:;text-align:right;direction:rtl\"><\/div>\n<p style=\"font-size:26px;text-align:right;direction:rtl\"> <span style=\"color:#1976d2;\"><strong>\u0645=2:<\/strong><\/span><\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0633\u0646\u0642\u0648\u0645 \u0627\u0644\u0622\u0646 \u0628\u062a\u062d\u0644\u064a\u0644 \u0627\u0644\u0646\u0638\u0627\u0645 \u0639\u0646\u062f\u0645\u0627 \u062a\u0643\u0648\u0646 \u0627\u0644\u0645\u0639\u0644\u0645\u0629 <em>m<\/em> \u0645\u0633\u0627\u0648\u064a\u0629 \u0644\u0640 2. \u0641\u064a \u0647\u0630\u0647 \u0627\u0644\u062d\u0627\u0644\u0629 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0627\u062a A \u0648 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-f42ec4801f3e84cd44b4e0b2ae6351cf_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  A= \\left( \\begin{array}{ccc}1 &amp; 1 &amp; 2 \\\\[1.1ex] -1 &amp; 2 &amp; 2 \\\\[1.1ex] 3 &amp; 0 &amp; 2 \\end{array} \\right) \\qquad A'= \\left( \\begin{array}{ccc|c} 1 &amp; 1 &amp; 2 &amp; 2 \\\\[1.1ex] -1 &amp; 2 &amp; 2 &amp; 0 \\\\[1.1ex] 3 &amp; 0 &amp; 2 &amp; 4 \\end{array} \\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"85\" width=\"377\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0643\u0645\u0627 \u0631\u0623\u064a\u0646\u0627 \u0633\u0627\u0628\u0642\u0627\u064b\u060c \u0639\u0646\u062f\u0645\u0627 m=2 \u0641\u0625\u0646 \u0645\u062d\u062f\u062f A \u0647\u0648 0. \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\u0631\u062a\u0628\u0629 3. \u0644\u0643\u0646 \u0628\u062f\u0627\u062e\u0644\u0647\u0627 \u0645\u062d\u062f\u062f\u0627\u062a 2\u00d72 \u062a\u062e\u062a\u0644\u0641 \u0639\u0646 0\u060c \u0639\u0644\u0649 \u0633\u0628\u064a\u0644 \u0627\u0644\u0645\u062b\u0627\u0644:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-55ef6cd148fca7a869e14760007e1f2e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\begin{vmatrix}1 &amp; 1 \\\\[1.1ex] -1 &amp; 2  \\end{vmatrix} = 2 - (-1)=3 \\neq 0\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"213\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0625\u0630\u0646\u060c \u0641\u064a \u0647\u0630\u0647 \u0627\u0644\u062d\u0627\u0644\u0629 <strong>\u060c \u0631\u062a\u0628\u0629 A \u0647\u064a 2<\/strong> :<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-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 \u0631\u062a\u0628\u0629 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 A\u060c \u0646\u062d\u0633\u0628 \u0631\u062a\u0628\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-2c68c742cae37c52ad2566b7feec5301_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\begin{vmatrix} 1 &amp; 2 &amp; 2 \\\\[1.1ex] 2 &amp; 2 &amp; 0 \\\\[1.1ex] 0 &amp; 2 &amp; 4 \\end{vmatrix} = 0 \\qquad \\begin{vmatrix} 1 &amp; 2 &amp; 2 \\\\[1.1ex] -1 &amp; 2 &amp; 0 \\\\[1.1ex] 3 &amp; 2 &amp; 4 \\end{vmatrix}=0\\qquad \\begin{vmatrix} 1 &amp; 1 &amp; 2 \\\\[1.1ex] -1 &amp; 2 &amp; 0 \\\\[1.1ex] 3 &amp; 0 &amp; 4\\end{vmatrix}=0\" title=\"Rendered by QuickLaTeX.com\" height=\"86\" width=\"412\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u062c\u0645\u064a\u0639 \u0627\u0644\u0645\u062d\u062f\u062f\u0627\u062a \u0627\u0644\u0645\u0645\u0643\u0646\u0629 \u0644\u0644\u0628\u0639\u062f 3\u00d73 \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 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-55ef6cd148fca7a869e14760007e1f2e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\begin{vmatrix}1 &amp; 1 \\\\[1.1ex] -1 &amp; 2  \\end{vmatrix} = 2 - (-1)=3 \\neq 0\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"213\" 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 style=\";text-align:right;direction:rtl\"> \u0648\u0628\u0645\u0627 \u0623\u0646\u0647 ICS\u060c \u0646\u062d\u0646 \u0628\u062d\u0627\u062c\u0629 \u0625\u0644\u0649 \u062a\u062d\u0648\u064a\u0644 \u0627\u0644\u0646\u0638\u0627\u0645 \u0644\u062d\u0644\u0647\u0627. \u0644\u0644\u0642\u064a\u0627\u0645 \u0628\u0630\u0644\u0643\u060c \u064a\u062c\u0628 \u0639\u0644\u064a\u0646\u0627 \u0623\u0648\u0644\u0627 \u062d\u0630\u0641 \u0645\u0639\u0627\u062f\u0644\u0629 \u0645\u0646 \u0627\u0644\u0646\u0638\u0627\u0645\u060c \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><\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-10c7facda35cb8894e6bbb236e4953f1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{cases} x+y+2z= 2 \\\\[1.5ex] -x+2y+2z=0 \\\\[1.5ex] \\cancel{3x+2z = 4} \\end{cases} \\longrightarrow \\quad \\begin{cases}  x+y+2z= 2 \\\\[1.5ex] -x+2y+2z=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-0155083595420da31a486927e953805c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{cases}x+y+2z= 2 \\\\[1.5ex] -x+2y+2z=0  \\end{cases} \\xrightarrow{z \\ = \\ \\lambda}\\quad \\begin{cases} x+y+2\\lambda= 2 \\\\[1.5ex] -x+2y+2\\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-b8486baee4be39f417988ee12b5e67c7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{cases}x+y=2-2\\lambda \\\\[1.5ex] -x+2y=-2\\lambda \\end{cases}\" title=\"Rendered by QuickLaTeX.com\" height=\"65\" width=\"133\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\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-8591e8c21bce2f49998311bbb08f7dee_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  A= \\left( \\begin{array}{ccc} 1 &amp; 1  \\\\[1.1ex] -1 &amp; 2 \\end{array} \\right) \\qquad A'= \\left( \\begin{array}{cc|c} 1 &amp; 1 &amp; 2 -2\\lambda \\\\[1.1ex] -1 &amp; 2 &amp; -2\\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\u0644\u0642\u064a\u0627\u0645 \u0628\u0630\u0644\u0643\u060c \u0646\u0642\u0648\u0645 \u0623\u0648\u0644\u0627\u064b \u0628\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-c34669d7234c9736c350f793df337bd3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\begin{vmatrix}A \\end{vmatrix}= \\begin{vmatrix} 1 &amp; 1  \\\\[1.1ex] -1 &amp; 2\\end{vmatrix} =2-(-1)=3\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"229\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0644\u062d\u0633\u0627\u0628 <em>x<\/em> \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-987ebe052154332042afeb27535996f1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\bm{x} = \\cfrac{\\begin{vmatrix} 2 -2\\lambda &amp; 1  \\\\[1.1ex] -2\\lambda &amp; 2 \\end{vmatrix}}{\\begin{vmatrix} A \\end{vmatrix}} = \\cfrac{4-4\\lambda-(-2\\lambda)}{3} = \\cfrac{\\bm{4-2\\lambda}}{\\bm{3}}\" title=\"Rendered by QuickLaTeX.com\" height=\"81\" width=\"345\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0644\u062d\u0633\u0627\u0628 <em>y<\/em> \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-8a3c7b2cd7319f7f9db6df7df79abb50_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\bm{y} = \\cfrac{\\begin{vmatrix} 1 &amp; 2 -2\\lambda  \\\\[1.1ex] -1 &amp; -2\\lambda  \\end{vmatrix}}{\\begin{vmatrix} A \\end{vmatrix}}=\\cfrac{-2\\lambda -(-2+2\\lambda)}{3} = \\cfrac{\\bm{2-4\\lambda} }{\\bm{3}}\" title=\"Rendered by QuickLaTeX.com\" height=\"81\" width=\"379\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0628\u062d\u064a\u062b \u0639\u0646\u062f\u0645\u0627 \u062a\u0643\u0648\u0646 m=2 \u064a\u0643\u0648\u0646 \u062d\u0644 \u0646\u0638\u0627\u0645 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0627\u062a \u062f\u0627\u0644\u0629 \u0644\u0640 lect\u060c \u0644\u0623\u0646\u0647 \u0645\u0646 SCI \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a \u0644\u0647 \u062d\u0644\u0648\u0644 \u0644\u0627 \u0646\u0647\u0627\u0626\u064a\u0629:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-1bc871365fab3194e382053fc6b083b5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\bm{x =}  \\cfrac{\\bm{4-2\\lambda}}{\\bm{3}}  \\qquad \\bm{y=}\\cfrac{\\bm{2-4\\lambda}}{\\bm{3}} \\qquad \\bm{z=\\lambda}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"274\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0644\u0642\u062f \u0642\u0645\u0646\u0627 \u0628\u0627\u0644\u0641\u0639\u0644 \u0628\u062a\u062d\u0644\u064a\u0644 \u062d\u0644 \u0627\u0644\u0646\u0638\u0627\u0645 \u0639\u0646\u062f\u0645\u0627 \u062a\u0643\u0648\u0646 \u0627\u0644\u0645\u0639\u0644\u0645\u0629 <em>m<\/em> \u0645\u062e\u062a\u0644\u0641\u0629 \u0639\u0646 2 \u0648 3\u060c \u0648\u0639\u0646\u062f\u0645\u0627 \u062a\u0633\u0627\u0648\u064a 2. \u0644\u0630\u0644\u0643 \u0646\u062d\u062a\u0627\u062c \u0641\u0642\u0637 \u0625\u0644\u0649 \u0627\u0644\u062d\u0627\u0644\u0629 \u0627\u0644\u0623\u062e\u064a\u0631\u0629: \u0639\u0646\u062f\u0645\u0627 \u062a\u0623\u062e\u0630 <em>m<\/em> \u0627\u0644\u0642\u064a\u0645\u0629 3: <\/p>\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<p style=\"font-size:26px;text-align:right;direction:rtl\"> <span style=\"color:#1976d2;\"><strong>\u0645=3:<\/strong><\/span><\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0633\u0646\u0642\u0648\u0645 \u0627\u0644\u0622\u0646 \u0628\u062a\u062d\u0644\u064a\u0644 \u0645\u0627 \u064a\u062d\u062f\u062b \u0639\u0646\u062f\u0645\u0627 \u062a\u0643\u0648\u0646 \u0627\u0644\u0645\u0639\u0644\u0645\u0629 <em>m<\/em> \u062a\u0633\u0627\u0648\u064a 3. \u0641\u064a \u0647\u0630\u0647 \u0627\u0644\u062d\u0627\u0644\u0629 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0627\u062a A \u0648 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-c49bbc0d7d36606aa59be050c2682de5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  A= \\left( \\begin{array}{ccc}1 &amp; 1 &amp; 2 \\\\[1.1ex] -1 &amp; 3 &amp; 2 \\\\[1.1ex] 3 &amp; 0 &amp; 3 \\end{array} \\right) \\qquad A'= \\left( \\begin{array}{ccc|c} 1 &amp; 1 &amp; 2 &amp; 2 \\\\[1.1ex] -1 &amp; 3 &amp; 2 &amp; 0 \\\\[1.1ex] 3 &amp; 0 &amp; 3 &amp; 4 \\end{array} \\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"85\" width=\"377\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0643\u0645\u0627 \u0631\u0623\u064a\u0646\u0627 \u0633\u0627\u0628\u0642\u064b\u0627\u060c \u0639\u0646\u062f\u0645\u0627 m=3 \u0641\u0625\u0646 \u0645\u062d\u062f\u062f A \u0647\u0648 0. \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\u0631\u062a\u0628\u0629 3. \u0644\u0643\u0646 \u0628\u062f\u0627\u062e\u0644\u0647\u0627 \u0645\u062d\u062f\u062f\u0627\u062a 2\u00d72 \u062a\u062e\u062a\u0644\u0641 \u0639\u0646 0\u060c \u0639\u0644\u0649 \u0633\u0628\u064a\u0644 \u0627\u0644\u0645\u062b\u0627\u0644:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-d88ce42feb4bba9aa74aae98e1062c4a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\begin{vmatrix}1 &amp; 1 \\\\[1.1ex] -1 &amp; 3  \\end{vmatrix} = 3 - (-1)=4 \\neq 0\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"213\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0625\u0630\u0646\u060c \u0641\u064a \u0647\u0630\u0647 \u0627\u0644\u062d\u0627\u0644\u0629 <strong>\u060c \u0631\u062a\u0628\u0629 A \u0647\u064a 2<\/strong> :<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-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 \u0631\u062a\u0628\u0629 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 A\u060c \u0646\u062d\u0633\u0628 \u0631\u062a\u0628\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 \u0646\u062d\u0627\u0648\u0644 \u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0645\u062d\u062f\u062f 3\u00d73 \u0622\u062e\u0631 \u062f\u0627\u062e\u0644 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 A&#8217;\u060c \u0639\u0644\u0649 \u0633\u0628\u064a\u0644 \u0627\u0644\u0645\u062b\u0627\u0644 \u0645\u062d\u062f\u062f \u0627\u0644\u0623\u0639\u0645\u062f\u0629 \u0627\u0644\u062b\u0644\u0627\u062b\u0629 \u0627\u0644\u0623\u062e\u064a\u0631\u0629:<\/p>\n<p class=\"has-text-align-center\" style=\";text-align:right;direction:rtl\">\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-5e6f1a5c155ca004c73e51bdcbe5ece9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\begin{vmatrix} 1 &amp; 2 &amp; 2 \\\\[1.1ex] 3 &amp; 2 &amp; 0 \\\\[1.1ex] 0 &amp; 3 &amp; 4\\end{vmatrix}=2\" title=\"Rendered by QuickLaTeX.com\" height=\"86\" width=\"100\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0645\u0646 \u0646\u0627\u062d\u064a\u0629 \u0623\u062e\u0631\u0649\u060c \u062a\u062d\u062a\u0648\u064a \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 A&#8217; \u0639\u0644\u0649 \u0645\u062d\u062f\u062f \u0646\u062a\u064a\u062c\u062a\u0647 \u0645\u062e\u062a\u0644\u0641\u0629 \u0639\u0646 0\u060c \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a \u0641\u0625\u0646 <strong>\u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 A&#8217; \u062a\u0623\u062a\u064a \u0641\u064a \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-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\"> \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a\u060c \u0639\u0646\u062f\u0645\u0627 \u062a\u0643\u0648\u0646 m = 3\u060c \u062a\u0643\u0648\u0646 \u0631\u062a\u0628\u0629 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 A \u0623\u0642\u0644 \u0645\u0646 \u0631\u062a\u0628\u0629 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 A&#8217;. \u0648\u0647\u0643\u0630\u0627\u060c \u0645\u0646 \u0646\u0638\u0631\u064a\u0629 \u0631\u0648\u0634\u064a\u0647-\u0641\u0631\u0648\u0628\u064a\u0646\u064a\u0648\u0633\u060c \u0646\u0633\u062a\u0646\u062a\u062c \u0623\u0646 \u0627\u0644\u0646\u0638\u0627\u0645 \u0647\u0648 <strong>\u0646\u0638\u0627\u0645 \u063a\u064a\u0631 \u0645\u062a\u0648\u0627\u0641\u0642<\/strong> (IS) <strong>:<\/strong><\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-3454f804b63f3cca9bcf08bc93815f90_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')=3 \\\\[1.3ex] \\color{black}\\text{N\\'umero de inc\\'ognitas}=3\\end{array}} \\\\ \\\\  \\color{blue} \\boxed{ \\color{black}\\phantom{^9_9} rg(A)=2 \\ \\neq \\ rg(A') = 3 \\color{blue} \\ \\bm{\\longrightarrow} \\ \\color{black} \\bm{SI}\\phantom{^9_9}} \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"138\" width=\"426\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0648\u0644\u0630\u0644\u0643\u060c \u0641\u0625\u0646 \u0646\u0638\u0627\u0645 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0627\u062a <strong>\u0644\u064a\u0633 \u0644\u0647 \u062d\u0644 \u0639\u0646\u062f\u0645\u0627 \u064a\u0643\u0648\u0646 m = 3.<\/strong><\/p>\n<h3 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"> \u0645\u0644\u062e\u0635 \u0627\u0644\u0645\u062b\u0627\u0644:<\/h3>\n<p style=\";text-align:right;direction:rtl\"> \u0643\u0645\u0627 \u0631\u0623\u064a\u0646\u0627 \u0641\u0625\u0646 \u062d\u0644 \u0646\u0638\u0627\u0645 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0627\u062a \u064a\u0639\u062a\u0645\u062f \u0639\u0644\u0649 \u0642\u064a\u0645\u0629 \u0627\u0644\u0645\u0639\u0644\u0645\u0629 <em>m<\/em> . \u0641\u064a\u0645\u0627 \u064a\u0644\u064a \u0645\u0644\u062e\u0635 \u0644\u062c\u0645\u064a\u0639 \u0627\u0644\u062d\u0627\u0644\u0627\u062a \u0627\u0644\u0645\u062d\u062a\u0645\u0644\u0629: <\/p>\n<div class=\"wp-block-columns is-layout-flex wp-container-32\" style=\";text-align:right;direction:rtl\">\n<div class=\"wp-block-column is-layout-flow\" style=\";text-align:right;direction:rtl\">\n<ul style=\";text-align:right;direction:rtl\">\n<li style=\";text-align:right;direction:rtl\"> <span style=\"color:#1976d2;font-size:22px\"><strong>\u0645 \u2260 3 \u0648 \u0645 \u2260 2:<\/strong><\/span> <\/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-cf366a55bd307517f94fd8aa00cdf598_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\bm{SCD} \\longrightarrow \\begin{cases} x = \\cfrac{2m^2+8-8m}{m^2-5m+6} \\\\[3.5ex] y =\\cfrac{-4+2m}{m^2-5m+6} \\\\[3.5ex] z = \\cfrac{-2m+4}{m^2-5m+6} \\end{cases}\" title=\"Rendered by QuickLaTeX.com\" height=\"171\" width=\"240\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<\/div>\n<div class=\"wp-block-column is-layout-flow\" style=\";text-align:right;direction:rtl\">\n<ul style=\";text-align:right;direction:rtl\">\n<li style=\";text-align:right;direction:rtl\"> <span style=\"color:#1976d2;font-size:22px\"><strong>\u0645=2:<\/strong><\/span> <\/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-94002d4f4d866569ed7d6993dd977b81_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\bm{SCI} \\longrightarrow \\begin{cases} x = \\cfrac{4-2\\lambda}{3} \\\\[3.5ex] y= \\cfrac{2-4\\lambda}{3} \\\\[3.5ex] z = \\lambda \\end{cases}\" title=\"Rendered by QuickLaTeX.com\" height=\"150\" width=\"175\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<\/div>\n<div class=\"wp-block-column is-layout-flow\" style=\";text-align:right;direction:rtl\">\n<ul style=\";text-align:right;direction:rtl\">\n<li style=\";text-align:right;direction:rtl\"> <span style=\"color:#1976d2;font-size:22px\"><strong>\u0645=3:<\/strong><\/span><\/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-9b971789910fd078c90174ed3d662e9a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\bm{SI} \\longrightarrow\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"54\" style=\"vertical-align: -1px;\"><\/p>\n<p> \u0627\u0644\u0646\u0638\u0627\u0645 \u0644\u064a\u0633 \u0644\u062f\u064a\u0647 \u062d\u0644.<\/p>\n<\/div>\n<\/div>\n<p style=\";text-align:right;direction:rtl\"> \u0647\u0646\u0627 \u0642\u0645\u0646\u0627 \u0628\u0627\u0644\u0639\u0645\u0644\u064a\u0629 \u0628\u0631\u0645\u062a\u0647\u0627 \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0646\u0638\u0631\u064a\u0629 \u0631\u0648\u0634 \u0648\u0642\u0627\u0639\u062f\u0629 \u0643\u0631\u0627\u0645\u0631\u060c \u0648\u0644\u0643\u0646 \u064a\u0645\u0643\u0646 \u0623\u064a\u0636\u064b\u0627 \u0645\u0646\u0627\u0642\u0634\u0629 \u0623\u0646\u0638\u0645\u0629 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0630\u0627\u062a \u0627\u0644\u0645\u0639\u0644\u0645\u0627\u062a \u0648\u062d\u0644\u0647\u0627 \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 <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 (\u0645\u0639 \u0627\u0644\u062a\u0645\u0627\u0631\u064a\u0646)<\/a> . \u064a\u0645\u0643\u0646\u0643 \u0627\u0644\u062a\u0639\u0631\u0641 \u0639\u0644\u0649 \u0627\u0644\u0645\u0632\u064a\u062f \u062d\u0648\u0644 \u0647\u0630\u0647 \u0627\u0644\u0637\u0631\u064a\u0642\u0629 \u0641\u064a \u0627\u0644\u0635\u0641\u062d\u0629 \u0627\u0644\u0645\u0631\u062a\u0628\u0637\u0629\u060c \u062d\u064a\u062b \u0633\u062a\u062c\u062f \u0634\u0631\u062d\u064b\u0627 \u062a\u0641\u0635\u064a\u0644\u064a\u064b\u0627 \u0644\u0644\u0625\u062c\u0631\u0627\u0621 \u0628\u0627\u0644\u0625\u0636\u0627\u0641\u0629 \u0625\u0644\u0649 \u0623\u0645\u062b\u0644\u0629 \u0648\u062a\u0645\u0627\u0631\u064a\u0646 \u0645\u062d\u0644\u0648\u0644\u0629 \u062e\u0637\u0648\u0629 \u0628\u062e\u0637\u0648\u0629.<\/p>\n<h2 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"> \u062d\u0644 \u0645\u0633\u0627\u0626\u0644 \u0627\u0644\u0645\u0646\u0627\u0642\u0634\u0629 \u0644\u0623\u0646\u0638\u0645\u0629 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0627\u0644\u062e\u0637\u064a\u0629 \u0630\u0627\u062a \u0627\u0644\u0645\u0639\u0644\u0645\u0627\u062a<\/h2>\n<h3 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"> \u0627\u0644\u062a\u0645\u0631\u064a\u0646 1<\/h3>\n<p style=\";text-align:right;direction:rtl\"> \u0646\u0627\u0642\u0634 \u0648\u062d\u0644 \u0627\u0644\u0646\u0638\u0627\u0645 \u0627\u0644\u062a\u0627\u0644\u064a \u0645\u0646 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0627\u0644\u062e\u0637\u064a\u0629 \u0627\u0644\u0645\u0639\u062a\u0645\u062f\u0629 \u0639\u0644\u0649 \u0627\u0644\u0645\u0639\u0644\u0645\u0627\u062a: <\/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-de-systemes-dequations-a-parametres.webp\" alt=\"\u062a\u0645\u0631\u064a\u0646 \u062d\u0644 \u0623\u0646\u0638\u0645\u0629 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0645\u0639 \u0627\u0644\u0645\u0639\u0644\u0645\u0627\u062a\" class=\"wp-image-4014\" width=\"191\" 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-b641845325965882d4aac899246cffb3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  A= \\left( \\begin{array}{ccc} 4 &amp; -1 &amp; 1 \\\\[1.1ex] 1 &amp; 1 &amp; -3 \\\\[1.1ex] 3 &amp; -2 &amp; -m \\end{array} \\right) \\qquad A'= \\left( \\begin{array}{ccc|c}4 &amp; -1 &amp; 1 &amp; 0 \\\\[1.1ex] 1 &amp; 1 &amp; -3 &amp; 0 \\\\[1.1ex] 3 &amp; -2 &amp; -m &amp; 0\\end{array} \\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"85\" width=\"418\" 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-4d36c7cffe0248a2f45cd5871abc6ed5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\begin{aligned}\\begin{vmatrix}A \\end{vmatrix}= \\begin{vmatrix} 4 &amp; -1 &amp; 1 \\\\[1.1ex] 1 &amp; 1 &amp; -3 \\\\[1.1ex] 3 &amp; -2 &amp; -m \\end{vmatrix} &amp; =-4m+9-2-3-24-m \\\\ &amp; =-5m-20 \\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"108\" width=\"381\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u062a\u0639\u062a\u0645\u062f \u0646\u062a\u064a\u062c\u0629 \u0645\u062d\u062f\u062f A \u0639\u0644\u0649 \u0642\u064a\u0645\u0629 m. \u0644\u0630\u0644\u0643 \u0633\u0646\u0631\u0649 \u0623\u064a \u0642\u064a\u0645 m \u0633\u064a\u062e\u062a\u0641\u064a \u0627\u0644\u0645\u062d\u062f\u062f. \u0644\u0644\u0642\u064a\u0627\u0645 \u0628\u0630\u0644\u0643\u060c \u0646\u0633\u0627\u0648\u064a \u0627\u0644\u0646\u062a\u064a\u062c\u0629 \u0627\u0644\u0646\u0627\u062a\u062c\u0629 \u0628\u0640 0 \u0648\u0646\u062d\u0644 \u0627\u0644\u0645\u0639\u0627\u062f\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-e7d065a700c5f2a7f732719be777027f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"-5m-20 = 0\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"109\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-bc49744634d23cdf0faf446f33487eac_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"-5m = 20\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"79\" 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-ca8fa07f8716b941295db488a99a6425_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"m = \\cfrac{20}{-5} = -4\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"110\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0644\u0630\u0644\u0643\u060c \u0639\u0646\u062f\u0645\u0627 \u062a\u0643\u0648\u0646 m -4\u060c \u0641\u0625\u0646 \u0645\u062d\u062f\u062f A \u0633\u064a\u0643\u0648\u0646 0. \u0648\u0639\u0646\u062f\u0645\u0627 \u064a\u0643\u0648\u0646 m \u0645\u062e\u062a\u0644\u0641\u064b\u0627 \u0639\u0646 -4\u060c \u0633\u064a\u0643\u0648\u0646 \u0645\u062d\u062f\u062f A \u0645\u062e\u062a\u0644\u0641\u064b\u0627 \u0639\u0646 0. \u0644\u0630\u0644\u0643 \u064a\u062c\u0628 \u0639\u0644\u064a\u0646\u0627 \u062a\u062d\u0644\u064a\u0644 \u0643\u0644 \u062d\u0627\u0644\u0629 \u0639\u0644\u0649 \u062d\u062f\u0629:<\/p>\n<p class=\"has-text-align-left\" style=\"font-size:26px;text-align:right;direction:rtl\"> <span style=\"color:#1976d2;\"><strong>\u0645\u2260-4:<\/strong><\/span><\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0643\u0645\u0627 \u0631\u0623\u064a\u0646\u0627 \u0644\u0644\u062a\u0648\u060c \u0639\u0646\u062f\u0645\u0627 \u062a\u062e\u062a\u0644\u0641 \u0627\u0644\u0645\u0639\u0644\u0645\u0629 m \u0639\u0646 -4\u060c \u0641\u0625\u0646 \u0645\u062d\u062f\u062f \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 A \u064a\u062e\u062a\u0644\u0641 \u0639\u0646 0. \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a\u060c \u0641\u0625\u0646 \u0631\u062a\u0628\u0629 A \u0647\u064a 3.<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-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\"> \u0639\u0644\u0627\u0648\u0629 \u0639\u0644\u0649 \u0630\u0644\u0643\u060c \u0641\u0625\u0646 \u0631\u062a\u0628\u0629 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 A&#8217; \u0647\u064a \u0623\u064a\u0636\u064b\u0627 3\u060c \u0644\u0623\u0646 \u0628\u062f\u0627\u062e\u0644\u0647\u0627 \u0645\u0635\u0641\u0648\u0641\u0629 \u0641\u0631\u0639\u064a\u0629 3\u00d73 \u064a\u062e\u062a\u0644\u0641 \u0645\u062d\u062f\u062f\u0647\u0627 \u0639\u0646 0. \u0648\u0644\u0627 \u064a\u0645\u0643\u0646 \u0623\u0646 \u062a\u0643\u0648\u0646 \u0641\u064a \u0627\u0644\u0645\u0631\u062a\u0628\u0629 4 \u0644\u0623\u0646\u0646\u0627 \u0644\u0627 \u0646\u0633\u062a\u0637\u064a\u0639 \u062a\u0643\u0648\u064a\u0646 \u0645\u062d\u062f\u062f 4\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 \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-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\u0637\u0628\u0642 \u0642\u0627\u0639\u062f\u0629 \u0643\u0631\u0627\u0645\u0631 \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-e9e0bd352ad7713a03824ead1239041c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  A= \\left( \\begin{array}{ccc} 4 &amp; -1 &amp; 1  \\\\[1.1ex] 1 &amp; 1 &amp; -3 \\\\[1.1ex] 3 &amp; -2 &amp; -m \\end{array} \\right) \\qquad A'= \\left( \\begin{array}{ccc|c} 4 &amp; -1 &amp; 1 &amp; 0 \\\\[1.1ex] 1 &amp; 1 &amp; -3 &amp; 0 \\\\[1.1ex] 3 &amp; -2 &amp; -m &amp; 0\\end{array} \\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"85\" width=\"418\" 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-530cb4576ee1a91d6246ed6cf9dd0fc8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\begin{vmatrix}A \\end{vmatrix}= \\begin{vmatrix} 4 &amp; -1 &amp; 1  \\\\[1.1ex] 1 &amp; 1 &amp; -3 \\\\[1.1ex] 3 &amp; -2 &amp; -m\\end{vmatrix} =-5m-20\" title=\"Rendered by QuickLaTeX.com\" height=\"86\" width=\"253\" 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 xatex] \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-b076bbda8d086abedb459570d74c80a9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\bm{x} = \\cfrac{\\begin{vmatrix} 0 &amp; -1 &amp; 1  \\\\[1.1ex] 0 &amp; 1 &amp; -3 \\\\[1.1ex] 0 &amp; -2 &amp; -m\\end{vmatrix}}{\\begin{vmatrix} A \\end{vmatrix}} = \\cfrac{0}{-5m-20} = \\bm{0}\" title=\"Rendered by QuickLaTeX.com\" height=\"113\" width=\"280\" 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 \u0648\u0628\u0642\u0627\u0639\u062f\u0629 \u0643\u0631\u0627\u0645\u0631 \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-f642a8cb2fd174e5c383a4df53e11a2e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\bm{y} = \\cfrac{\\begin{vmatrix} 4 &amp; 0 &amp; 1  \\\\[1.1ex] 1 &amp; 0 &amp; -3 \\\\[1.1ex] 3 &amp; 0 &amp; -m \\end{vmatrix}}{\\begin{vmatrix} A \\end{vmatrix}} = \\cfrac{0}{-5m-20} = \\bm{0}\" title=\"Rendered by QuickLaTeX.com\" height=\"113\" width=\"265\" 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 z \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-5020a9ba4995b9715d8d1fb4720952b1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\bm{z} = \\cfrac{\\begin{vmatrix}4 &amp; -1 &amp; 0 \\\\[1.1ex] 1 &amp; 1 &amp; 0 \\\\[1.1ex] 3 &amp; -2 &amp; 0 \\end{vmatrix}}{\\begin{vmatrix} A \\end{vmatrix}} = \\cfrac{0}{-5m-20} = \\bm{0}\" title=\"Rendered by QuickLaTeX.com\" height=\"113\" width=\"258\" 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 \u0641\u0625\u0646 \u062d\u0644 \u0646\u0638\u0627\u0645 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0644\u0644\u062d\u0627\u0644\u0629 m\u2260-4 \u0647\u0648:<\/p>\n<p class=\"has-text-align-center\" style=\";text-align:right;direction:rtl\"> <strong>\u0633=0 \u0635=0 \u0636=0<\/strong><\/p>\n<p class=\"has-text-align-left\" style=\"font-size:26px;text-align:right;direction:rtl\"> <span style=\"color:#1976d2;\"><strong>\u0645=-4:<\/strong><\/span><\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0633\u0646\u0642\u0648\u0645 \u0627\u0644\u0622\u0646 \u0628\u062a\u062d\u0644\u064a\u0644 \u0627\u0644\u0646\u0638\u0627\u0645 \u0639\u0646\u062f\u0645\u0627 \u062a\u0643\u0648\u0646 \u0627\u0644\u0645\u0639\u0644\u0645\u0629 m \u0647\u064a -4. \u0641\u064a \u0647\u0630\u0647 \u0627\u0644\u062d\u0627\u0644\u0629 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u062a\u0627\u0646 A \u0648 A&#8217; \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-e585e6465d27ea27ccc2c1a6ec1fe9ae_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  A= \\left( \\begin{array}{ccc} 4 &amp; -1 &amp; 1 \\\\[1.1ex] 1 &amp; 1 &amp; -3 \\\\[1.1ex] 3 &amp; -2 &amp; 4 \\end{array} \\right) \\qquad A'= \\left( \\begin{array}{ccc|c}4 &amp; -1 &amp; 1 &amp; 0 \\\\[1.1ex] 1 &amp; 1 &amp; -3 &amp; 0 \\\\[1.1ex] 3 &amp; -2 &amp; 4 &amp; 0\\end{array} \\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"85\" width=\"405\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0643\u0645\u0627 \u0631\u0623\u064a\u0646\u0627 \u0633\u0627\u0628\u0642\u064b\u0627\u060c \u0639\u0646\u062f\u0645\u0627 m=-4 \u0641\u0625\u0646 \u0645\u062d\u062f\u062f A \u0647\u0648 0. \u0625\u0630\u0646\u060c \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 A \u0644\u064a\u0633\u062a \u0645\u0646 \u0627\u0644\u0631\u062a\u0628\u0629 3. \u0644\u0643\u0646 \u0628\u062f\u0627\u062e\u0644\u0647\u0627 \u0645\u062d\u062f\u062f\u0627\u062a 2\u00d72 \u0645\u062e\u062a\u0644\u0641\u0629 \u0639\u0646 0\u060c \u0639\u0644\u0649 \u0633\u0628\u064a\u0644 \u0627\u0644\u0645\u062b\u0627\u0644:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a62d150aef4ec798814d25c988b0afd7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle   \\begin{vmatrix}4 &amp; -1 \\\\[1.1ex] 1 &amp; 1 \\end{vmatrix} =4-(-1)=5 \\neq 0\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"213\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0628\u0645\u0627 \u0623\u0646 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u0644\u0647\u0627 \u0645\u062d\u062f\u062f \u0645\u0646 \u0627\u0644\u0631\u062a\u0628\u0629 2 \u064a\u062e\u062a\u0644\u0641 \u0639\u0646 0\u060c \u0641\u0625\u0646 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 A \u0645\u0646 \u0627\u0644\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-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;. \u0646\u062d\u0646 \u0646\u0639\u0644\u0645 \u0628\u0627\u0644\u0641\u0639\u0644 \u0623\u0646 \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 \u0627\u0644\u0645\u0645\u0643\u0646\u0629 3\u00d73:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-39fc49c7a63920c8956703a4851ecfc0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\begin{vmatrix} -1 &amp; 1 &amp; 0 \\\\[1.1ex] 1 &amp; -3 &amp; 0 \\\\[1.1ex]  -2 &amp; 4 &amp; 0 \\end{vmatrix} = 0 \\quad \\begin{vmatrix}4 &amp; 1 &amp; 0 \\\\[1.1ex] 1 &amp;  -3 &amp; 0 \\\\[1.1ex] 3 &amp;  4 &amp; 0  \\end{vmatrix} = 0 \\quad \\begin{vmatrix}4 &amp; -1 &amp;  0 \\\\[1.1ex] 1 &amp; 1 &amp; 0 \\\\[1.1ex] 3 &amp; -2 &amp;  0\\end{vmatrix} = 0\" title=\"Rendered by QuickLaTeX.com\" height=\"86\" width=\"404\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u062c\u0645\u064a\u0639 \u0627\u0644\u0645\u062d\u062f\u062f\u0627\u062a 3\u00d73 \u0644\u0644\u0645\u0635\u0641\u0648\u0641\u0629 A&#8217; \u0647\u064a 0\u060c \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a \u0641\u0625\u0646 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 A&#8217; \u0644\u0646 \u062a\u0643\u0648\u0646 \u0641\u064a \u0627\u0644\u0645\u0631\u062a\u0628\u0629 3 \u0623\u064a\u0636\u064b\u0627. \u0648\u0645\u0639 \u0630\u0644\u0643\u060c \u0628\u062f\u0627\u062e\u0644\u0647 \u0645\u062d\u062f\u062f\u0627\u062a \u0644\u0644\u062a\u0631\u062a\u064a\u0628 2 \u062a\u062e\u062a\u0644\u0641 \u0639\u0646 0. \u0639\u0644\u0649 \u0633\u0628\u064a\u0644 \u0627\u0644\u0645\u062b\u0627\u0644:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a62d150aef4ec798814d25c988b0afd7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle   \\begin{vmatrix}4 &amp; -1 \\\\[1.1ex] 1 &amp; 1 \\end{vmatrix} =4-(-1)=5 \\neq 0\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"213\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a \u0641\u0625\u0646 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 A&#8217; \u0633\u062a\u0643\u0648\u0646 \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\"> \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; \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\u0639\u0646\u0627\u0635\u0631 \u0627\u0644\u0645\u062c\u0647\u0648\u0644\u0629 \u0641\u064a \u0627\u0644\u0646\u0638\u0627\u0645 (3)\u060c \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a\u060c \u0648\u0641\u0642\u064b\u0627 \u0644\u0646\u0638\u0631\u064a\u0629 Rouch\u00e9-Frobenius\u060c c \u0647\u0648 \u0646\u0638\u0627\u0645 \u0645\u062a\u0648\u0627\u0641\u0642 \u063a\u064a\u0631 \u0645\u062d\u062f\u062f (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-f43fdf4978386c61d18f9bb5b5883881_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\"> \u0625\u0646\u0647 \u0646\u0638\u0627\u0645 ICS\u060c \u0644\u0630\u0627 \u0646\u062d\u062a\u0627\u062c \u0625\u0644\u0649 \u062a\u062d\u0648\u064a\u0644 \u0627\u0644\u0646\u0638\u0627\u0645 \u0644\u062d\u0644\u0647. \u0646\u0642\u0648\u0645 \u0623\u0648\u0644\u0627\u064b \u0628\u062d\u0630\u0641 \u0645\u0639\u0627\u062f\u0644\u0629 \u0648\u0627\u062d\u062f\u0629\u060c \u0648\u0627\u0644\u062a\u064a \u0641\u064a \u0647\u0630\u0647 \u0627\u0644\u062d\u0627\u0644\u0629 \u0633\u062a\u0643\u0648\u0646 \u0627\u0644\u0623\u062e\u064a\u0631\u0629:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-4d5499fda37d3cbf56fbf6ecbfc6bfba_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{cases} 4x-y+z= 0 \\\\[1.5ex] x+y-3z=0 \\\\[1.5ex] \\cancel{3x-2y+4z = 0} \\end{cases} \\longrightarrow \\quad \\begin{cases} 4x-y+z= 0 \\\\[1.5ex] x+y-3z=0\\end{cases}\" title=\"Rendered by QuickLaTeX.com\" height=\"97\" width=\"349\" 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\u0648\u0644 \u0627\u0644\u0645\u062a\u063a\u064a\u0631 z \u0625\u0644\u0649 lect:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-96ea68274b072531365282e01d926718_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{cases}4x-y+z= 0 \\\\[1.5ex] x+y-3z=0 \\end{cases} \\xrightarrow{z \\ = \\ \\lambda}\\quad \\begin{cases} 4x-y+\\lambda= 0 \\\\[1.5ex] x+y-3\\lambda=0\\end{cases}\" title=\"Rendered by QuickLaTeX.com\" height=\"65\" width=\"353\" 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-6192715e62cc8e3d3fe4c51da8629c70_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{cases} 4x-y=-\\lambda \\\\[1.5ex] x+y=3\\lambda \\end{cases}\" title=\"Rendered by QuickLaTeX.com\" height=\"65\" width=\"110\" 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 class=\"has-text-align-center\" style=\";text-align:right;direction:rtl\">\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-99a91208ff1742f81e799aa5ab7f9097_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  A= \\left( \\begin{array}{ccc} 4 &amp; -1 \\\\[1.1ex] 1 &amp; 1 \\end{array} \\right) \\qquad A'= \\left( \\begin{array}{cc|c} 4 &amp; -1 &amp; -\\lambda \\\\[1.1ex] 1 &amp; 1 &amp; 3\\lambda \\end{array} \\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"337\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0648\u0623\u062e\u064a\u0631\u0627\u060c \u0628\u0645\u062c\u0631\u062f \u0623\u0646 \u0646\u062d\u0648\u0644 \u0627\u0644\u0646\u0638\u0627\u0645\u060c \u0641\u0625\u0646\u0646\u0627 \u0646\u0637\u0628\u0642 \u0642\u0627\u0639\u062f\u0629 \u0643\u0631\u0627\u0645\u0631. \u0644\u0644\u0642\u064a\u0627\u0645 \u0628\u0630\u0644\u0643\u060c \u0646\u0642\u0648\u0645 \u0623\u0648\u0644\u0627\u064b \u0628\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-34832b783ddaf4af205302240d0feafb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\begin{vmatrix}A \\end{vmatrix}= \\begin{vmatrix} 4 &amp; -1 \\\\[1.1ex] 1 &amp; 1 \\end{vmatrix} = 4-(-1)=5\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"228\" 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 x \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-362167d2eaa02d7243dedd5c385d08b1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\bm{x} = \\cfrac{\\begin{vmatrix}-\\lambda &amp; -1 \\\\[1.1ex] 3\\lambda &amp; 1 \\end{vmatrix}}{\\begin{vmatrix} A \\end{vmatrix}} = \\cfrac{-\\lambda-(-3\\lambda)}{5} =\\cfrac{\\bm{2\\lambda}}{\\bm{5}}\" title=\"Rendered by QuickLaTeX.com\" height=\"81\" width=\"285\" 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 \u0648\u0628\u0642\u0627\u0639\u062f\u0629 \u0643\u0631\u0627\u0645\u0631 \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-ede5a3a87ac0bb9ceea4232ec7b381fd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\bm{y} = \\cfrac{\\begin{vmatrix} 4 &amp; -\\lambda \\\\[1.1ex] 1 &amp; 3\\lambda \\end{vmatrix}}{\\begin{vmatrix} A \\end{vmatrix}} = \\cfrac{12\\lambda-(-\\lambda)}{5}=\\cfrac{\\bm{13\\lambda}}{\\bm{5}}\" title=\"Rendered by QuickLaTeX.com\" height=\"81\" width=\"267\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0628\u062d\u064a\u062b \u0639\u0646\u062f\u0645\u0627 \u062a\u0643\u0648\u0646 m=-4 \u064a\u0643\u0648\u0646 \u062d\u0644 \u0646\u0638\u0627\u0645 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0627\u062a \u062f\u0627\u0644\u0629 \u0644\u0640 lect\u060c \u0644\u0623\u0646\u0647 \u0645\u0646 SCI \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a \u0644\u0647 \u062d\u0644\u0648\u0644 \u0644\u0627 \u0646\u0647\u0627\u0626\u064a\u0629: <\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-316aed1af52eba51058c3c753717c1af_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\bm{x =}\\cfrac{\\bm{2\\lambda}}{\\bm{5}}\\qquad \\bm{y=}\\cfrac{\\bm{13\\lambda}}{\\bm{5}} \\qquad \\bm{z=\\lambda}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"222\" 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<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\"> \u062a\u0645\u0631\u064a\u0646 2<\/h3>\n<p style=\";text-align:right;direction:rtl\"> \u0646\u0627\u0642\u0634 \u0648\u0623\u0648\u062c\u062f \u0627\u0644\u062d\u0644 \u0644\u0646\u0638\u0627\u0645 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0627\u0644\u062e\u0637\u064a\u0629 \u0627\u0644\u0645\u0639\u062a\u0645\u062f\u0629 \u0639\u0644\u0649 \u0627\u0644\u0645\u0639\u0644\u0645\u0627\u062a \u0627\u0644\u062a\u0627\u0644\u064a: <\/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-etape-par-etape-d-un-systeme-d-equations-lineaires-avec-parametres.webp\" alt=\"\u062a\u0645\u0631\u064a\u0646 \u062d\u0644 \u0646\u0638\u0627\u0645 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0627\u0644\u062e\u0637\u064a\u0629 \u062e\u0637\u0648\u0629 \u0628\u062e\u0637\u0648\u0629 \u0645\u0639 \u0627\u0644\u0645\u0639\u0644\u0645\u0627\u062a\" class=\"wp-image-4020\" width=\"187\" height=\"122\" 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-e924dd1b3fe5c0da561b92da9bf5da3b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  A= \\left( \\begin{array}{ccc} m &amp; 2 &amp; 1 \\\\[1.1ex] 2 &amp; 4 &amp; 2 \\\\[1.1ex] 1 &amp; -2 &amp; m\\end{array} \\right) \\qquad A'= \\left( \\begin{array}{ccc|c}m &amp; 2 &amp; 1 &amp; 2 \\\\[1.1ex] 2 &amp; 4 &amp; 2 &amp; 0 \\\\[1.1ex] 1 &amp; -2 &amp; m &amp; 3\\end{array} \\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"85\" width=\"404\" 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-5d0f8dbb7408ac6521e0144ac2f3a8a3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\begin{aligned}\\begin{vmatrix}A \\end{vmatrix}= \\begin{vmatrix}m &amp; 2 &amp; 1 \\\\[1.1ex] 2 &amp; 4 &amp; 2 \\\\[1.1ex] 1 &amp; -2 &amp; m\\end{vmatrix} &amp; =4m^2+4-4-4+4m-4m \\\\ &amp; =4m^2-4 \\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"108\" width=\"384\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u062a\u0639\u062a\u0645\u062f \u0646\u062a\u064a\u062c\u0629 \u0645\u062d\u062f\u062f A \u0639\u0644\u0649 \u0642\u064a\u0645\u0629 m. \u0644\u0630\u0644\u0643 \u0633\u0646\u0631\u0649 \u0623\u064a \u0642\u064a\u0645 m \u0633\u064a\u062e\u062a\u0641\u064a \u0627\u0644\u0645\u062d\u062f\u062f. \u0644\u0644\u0642\u064a\u0627\u0645 \u0628\u0630\u0644\u0643\u060c \u0646\u0633\u0627\u0648\u064a \u0627\u0644\u0646\u062a\u064a\u062c\u0629 \u0627\u0644\u0646\u0627\u062a\u062c\u0629 \u0628\u0640 0 \u0648\u0646\u062d\u0644 \u0627\u0644\u0645\u0639\u0627\u062f\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-059d7760bb8cee65e13e43a97e156e1a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"4m^2-4 = 0\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"95\" 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-1aae0b3268b7d9e348b8eb80ce957ce8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"4m^2=4\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"65\" 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-1f31504086ef5ec070b337db57ad444f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"m^2 = \\cfrac{4}{4}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"58\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-baf4ba1311e2f2ce47aecfb90a411b64_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"m^2 = 1\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"55\" 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-c8dda3f9896a1a4dece5059a485cdcfb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"m = \\pm 1\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"61\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0644\u0630\u0644\u0643\u060c \u0639\u0646\u062f\u0645\u0627 \u064a\u0643\u0648\u0646 m +1 \u0623\u0648 -1\u060c \u0641\u0625\u0646 \u0645\u062d\u062f\u062f A \u0633\u064a\u0643\u0648\u0646 0. \u0648\u0639\u0646\u062f\u0645\u0627 \u064a\u062e\u062a\u0644\u0641 m \u0639\u0646 +1 \u0648 -1\u060c \u0641\u0625\u0646 \u0645\u062d\u062f\u062f A \u0633\u064a\u0643\u0648\u0646 \u0645\u062e\u062a\u0644\u0641\u064b\u0627 \u0639\u0646 0. \u0644\u0630\u0644\u0643 \u064a\u062c\u0628 \u0639\u0644\u064a\u0646\u0627 \u062a\u062d\u0644\u064a\u0644 \u0643\u0644 \u062d\u0627\u0644\u0629 \u0645\u0646 \u062e\u0644\u0627\u0644:<\/p>\n<p class=\"has-text-align-left\" style=\"font-size:26px;text-align:right;direction:rtl\"> <span style=\"color:#1976d2;\"><strong>\u0645\u2260+1 \u0648 \u0645\u2260-1:<\/strong><\/span><\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0643\u0645\u0627 \u0631\u0623\u064a\u0646\u0627 \u0644\u0644\u062a\u0648\u060c \u0639\u0646\u062f\u0645\u0627 \u062a\u0643\u0648\u0646 \u0627\u0644\u0645\u0639\u0644\u0645\u0629 m \u0645\u062e\u062a\u0644\u0641\u0629 \u0639\u0646 +1 \u0648 -1\u060c \u0641\u0625\u0646 \u0645\u062d\u062f\u062f \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 A \u064a\u062e\u062a\u0644\u0641 \u0639\u0646 0. \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a\u060c \u0641\u0625\u0646 \u0631\u062a\u0628\u0629 A \u0647\u064a 3.<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-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\"> \u0639\u0644\u0627\u0648\u0629 \u0639\u0644\u0649 \u0630\u0644\u0643\u060c \u0641\u0625\u0646 \u0631\u062a\u0628\u0629 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 A&#8217; \u0647\u064a \u0623\u064a\u0636\u064b\u0627 3\u060c \u0644\u0623\u0646 \u0628\u062f\u0627\u062e\u0644\u0647\u0627 \u0645\u0635\u0641\u0648\u0641\u0629 \u0641\u0631\u0639\u064a\u0629 3\u00d73 \u064a\u062e\u062a\u0644\u0641 \u0645\u062d\u062f\u062f\u0647\u0627 \u0639\u0646 0. \u0648\u0644\u0627 \u064a\u0645\u0643\u0646 \u0623\u0646 \u062a\u0643\u0648\u0646 \u0641\u064a \u0627\u0644\u0645\u0631\u062a\u0628\u0629 4 \u0644\u0623\u0646\u0646\u0627 \u0644\u0627 \u0646\u0633\u062a\u0637\u064a\u0639 \u062a\u0643\u0648\u064a\u0646 \u0645\u062d\u062f\u062f 4\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 \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-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\u0637\u0628\u0642 \u0642\u0627\u0639\u062f\u0629 \u0643\u0631\u0627\u0645\u0631 \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-e924dd1b3fe5c0da561b92da9bf5da3b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  A= \\left( \\begin{array}{ccc} m &amp; 2 &amp; 1 \\\\[1.1ex] 2 &amp; 4 &amp; 2 \\\\[1.1ex] 1 &amp; -2 &amp; m\\end{array} \\right) \\qquad A'= \\left( \\begin{array}{ccc|c}m &amp; 2 &amp; 1 &amp; 2 \\\\[1.1ex] 2 &amp; 4 &amp; 2 &amp; 0 \\\\[1.1ex] 1 &amp; -2 &amp; m &amp; 3\\end{array} \\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"85\" width=\"404\" 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-b5114be5e37d2c91f02f22fba22edc42_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\begin{vmatrix}A \\end{vmatrix}= \\begin{vmatrix}m &amp; 2 &amp; 1 \\\\[1.1ex] 2 &amp; 4 &amp; 2 \\\\[1.1ex] 1 &amp; -2 &amp; m\\end{vmatrix}=4m^2-4\" title=\"Rendered by QuickLaTeX.com\" height=\"86\" 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 x \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-4b7402e02ee62bd78a6f880d3d122119_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\bm{x} = \\cfrac{\\begin{vmatrix} 2&amp; 2 &amp; 1 \\\\[1.1ex] 0 &amp; 4 &amp; 2 \\\\[1.1ex] 3 &amp; -2 &amp; m\\end{vmatrix}}{\\begin{vmatrix} A \\end{vmatrix}} = \\cfrac{\\bm{8m+8}}{\\bm{4m^2-4}}\" title=\"Rendered by QuickLaTeX.com\" height=\"113\" width=\"218\" 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 \u0648\u0628\u0642\u0627\u0639\u062f\u0629 \u0643\u0631\u0627\u0645\u0631 \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-551c66a9530d0195a9a4ff64d42350c4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\bm{y} = \\cfrac{\\begin{vmatrix} m &amp; 2 &amp; 1 \\\\[1.1ex] 2 &amp; 0 &amp; 2 \\\\[1.1ex] 1 &amp; 3 &amp; m\\end{vmatrix}}{\\begin{vmatrix} A \\end{vmatrix}} = \\cfrac{\\bm{-10m+10}}{\\bm{4m^2-4}}\" 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 z \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-28375ce522b7644a745a9adea4c78ae7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\bm{z} = \\cfrac{\\begin{vmatrix}m &amp; 2 &amp; 2 \\\\[1.1ex] 2 &amp; 4 &amp; 0 \\\\[1.1ex] 1 &amp; -2 &amp; 3 \\end{vmatrix}}{\\begin{vmatrix} A \\end{vmatrix}} = \\cfrac{\\bm{12m-28}}{\\bm{4m^2-4}}\" title=\"Rendered by QuickLaTeX.com\" height=\"113\" width=\"227\" 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 \u0641\u0625\u0646 \u062d\u0644 \u0646\u0638\u0627\u0645 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0644\u0644\u062d\u0627\u0644\u0629 m\u2260+1 \u0648m\u2260-1 \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-59ecb2f1448989cd1c41af45e7bc4a32_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\bm{x = }\\cfrac{\\bm{8m+8}}{\\bm{4m^2-4}} \\qquad \\bm{y=}\\cfrac{\\bm{-10m+10}}{\\bm{4m^2-4}}\\qquad \\bm{z =} \\cfrac{\\bm{12m-28}}{\\bm{4m^2-4}}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"383\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\"font-size:26px;text-align:right;direction:rtl\"> <span style=\"color:#1976d2;\"><strong>\u0645=+1:<\/strong><\/span><\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0633\u0646\u0642\u0648\u0645 \u0627\u0644\u0622\u0646 \u0628\u062a\u062d\u0644\u064a\u0644 \u0627\u0644\u0646\u0638\u0627\u0645 \u0639\u0646\u062f\u0645\u0627 \u062a\u0643\u0648\u0646 \u0627\u0644\u0645\u0639\u0644\u0645\u0629 m \u0645\u0633\u0627\u0648\u064a\u0629 \u0644\u0640 1. \u0641\u064a \u0647\u0630\u0647 \u0627\u0644\u062d\u0627\u0644\u0629 \u062a\u0643\u0648\u0646 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0627\u062a A \u0648 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-f6af272a99ed7c281ee8dd9199698686_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  A= \\left( \\begin{array}{ccc} 1 &amp; 2 &amp; 1 \\\\[1.1ex] 2 &amp; 4 &amp; 2 \\\\[1.1ex] 1 &amp; -2 &amp; 1 \\end{array} \\right) \\qquad A'= \\left( \\begin{array}{ccc|c}1 &amp; 2 &amp; 1 &amp; 2 \\\\[1.1ex] 2 &amp; 4 &amp; 2 &amp; 0 \\\\[1.1ex] 1 &amp; -2 &amp; 1 &amp; 3\\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\"> \u0643\u0645\u0627 \u0631\u0623\u064a\u0646\u0627 \u0633\u0627\u0628\u0642\u064b\u0627\u060c \u0639\u0646\u062f\u0645\u0627 m=+1 \u064a\u0643\u0648\u0646 \u0645\u062d\u062f\u062f A \u0647\u0648 0. \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\u0631\u062a\u0628\u0629 3. \u0644\u0643\u0646 \u0628\u062f\u0627\u062e\u0644\u0647\u0627 \u0645\u062d\u062f\u062f\u0627\u062a 2\u00d72 \u0645\u062e\u062a\u0644\u0641\u0629 \u0639\u0646 0\u060c \u0639\u0644\u0649 \u0633\u0628\u064a\u0644 \u0627\u0644\u0645\u062b\u0627\u0644:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-ebedf6c9e4316844dc99ceca9472fac5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle   \\begin{vmatrix}2 &amp; 4\\\\[1.1ex] 1 &amp; -2 \\end{vmatrix} =-4-4=-8 \\neq 0\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"213\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0628\u0645\u0627 \u0623\u0646 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u0644\u0647\u0627 \u0645\u062d\u062f\u062f \u0645\u0646 \u0627\u0644\u0631\u062a\u0628\u0629 2 \u064a\u062e\u062a\u0644\u0641 \u0639\u0646 0\u060c \u0641\u0625\u0646 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 A \u0645\u0646 \u0627\u0644\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-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;. \u0646\u062d\u0646 \u0646\u0639\u0644\u0645 \u0628\u0627\u0644\u0641\u0639\u0644 \u0623\u0646 \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 \u0646\u062d\u0627\u0648\u0644 \u0627\u0644\u0622\u0646\u060c \u0639\u0644\u0649 \u0633\u0628\u064a\u0644 \u0627\u0644\u0645\u062b\u0627\u0644\u060c \u0645\u0639 \u0645\u062d\u062f\u062f \u0627\u0644\u0623\u0639\u0645\u062f\u0629 \u0627\u0644\u062b\u0644\u0627\u062b\u0629 \u0627\u0644\u0623\u062e\u064a\u0631\u0629:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-4d0109b155be9f87a0cee337ddec5517_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\begin{vmatrix} 2 &amp; 1 &amp; 2 \\\\[1.1ex] 4 &amp; 2 &amp; 0 \\\\[1.1ex]  -2 &amp; 1 &amp; 3 \\end{vmatrix} = 16\" title=\"Rendered by QuickLaTeX.com\" height=\"86\" width=\"124\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0645\u0646 \u0646\u0627\u062d\u064a\u0629 \u0623\u062e\u0631\u0649\u060c \u062a\u062d\u062a\u0648\u064a \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 A&#8217; \u0639\u0644\u0649 \u0645\u062d\u062f\u062f 3\u00d73 \u0627\u0644\u0630\u064a \u062a\u062e\u062a\u0644\u0641 \u0646\u062a\u064a\u062c\u062a\u0647 \u0639\u0646 0\u060c \u0628\u062d\u064a\u062b \u062a\u0643\u0648\u0646 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 A&#8217; \u0641\u064a \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\"> \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a\u060c \u0639\u0646\u062f\u0645\u0627 \u062a\u0643\u0648\u0646 m=+1 \u062a\u0643\u0648\u0646 \u0631\u062a\u0628\u0629 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 A \u0623\u0635\u063a\u0631 \u0645\u0646 \u0631\u062a\u0628\u0629 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 A&#8217;. \u0648\u0647\u0643\u0630\u0627\u060c \u0645\u0646 \u0646\u0638\u0631\u064a\u0629 \u0631\u0648\u0634\u064a\u0647-\u0641\u0631\u0648\u0628\u064a\u0646\u064a\u0648\u0633\u060c \u0646\u0633\u062a\u0646\u062a\u062c \u0623\u0646 \u0627\u0644\u0646\u0638\u0627\u0645 \u0647\u0648 \u0646\u0638\u0627\u0645 \u063a\u064a\u0631 \u0645\u062a\u0648\u0627\u0641\u0642 (IS):<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-b2bb3fec88cf5c6d788afb4480ab1f58_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')=3 \\\\[1.3ex] \\color{black}\\text{N\\'umero de inc\\'ognitas} = 3 \\end{array}} \\\\ \\\\ \\color{blue} \\boxed{ \\color{black}\\phantom{^9_9} rg(A) = 2 \\ \\neq \\ rg(A') = 3 \\color{blue} \\ \\bm{\\longrightarrow} \\ \\color{black} \\bm{SI}\\phantom{^9_9}} \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"138\" width=\"426\" 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 \u0641\u0625\u0646 \u0646\u0638\u0627\u0645 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0627\u062a <strong>\u0644\u064a\u0633 \u0644\u0647 \u062d\u0644 \u0639\u0646\u062f\u0645\u0627 m=+1<\/strong> \u0644\u0623\u0646\u0647 \u0646\u0638\u0627\u0645 \u063a\u064a\u0631 \u0645\u062a\u0648\u0627\u0641\u0642.<\/p>\n<p class=\"has-text-align-left\" style=\"font-size:26px;text-align:right;direction:rtl\"> <span style=\"color:#1976d2;\"><strong>\u0645=-1:<\/strong><\/span><\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0633\u0646\u0642\u0648\u0645 \u0627\u0644\u0622\u0646 \u0628\u062a\u062d\u0644\u064a\u0644 \u0627\u0644\u0646\u0638\u0627\u0645 \u0639\u0646\u062f\u0645\u0627 \u062a\u0643\u0648\u0646 \u0627\u0644\u0645\u0639\u0644\u0645\u0629 m \u0647\u064a -1. \u0641\u064a \u0647\u0630\u0647 \u0627\u0644\u062d\u0627\u0644\u0629 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u062a\u0627\u0646 A \u0648 A&#8217; \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-46b0a00ef38d0e5a433b418de7eb1ec3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  A= \\left( \\begin{array}{ccc} -1 &amp; 2 &amp; 1 \\\\[1.1ex] 2 &amp; 4 &amp; 2 \\\\[1.1ex] 1 &amp; -2 &amp; -1 \\end{array} \\right) \\qquad A'= \\left( \\begin{array}{ccc|c}-1 &amp; 2 &amp; 1 &amp; 2 \\\\[1.1ex] 2 &amp; 4 &amp; 2 &amp; 0 \\\\[1.1ex] 1 &amp; -2 &amp; -1 &amp; 3\\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\"> \u0643\u0645\u0627 \u0631\u0623\u064a\u0646\u0627 \u0633\u0627\u0628\u0642\u064b\u0627\u060c \u0639\u0646\u062f\u0645\u0627 m=-1 \u0641\u0625\u0646 \u0645\u062d\u062f\u062f A \u0647\u0648 0. \u0625\u0630\u0646\u060c \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 A \u0644\u064a\u0633\u062a \u0645\u0646 \u0627\u0644\u0631\u062a\u0628\u0629 3. \u0644\u0643\u0646 \u0628\u062f\u0627\u062e\u0644\u0647\u0627 \u0645\u062d\u062f\u062f\u0627\u062a 2\u00d72 \u0645\u062e\u062a\u0644\u0641\u0629 \u0639\u0646 0\u060c \u0639\u0644\u0649 \u0633\u0628\u064a\u0644 \u0627\u0644\u0645\u062b\u0627\u0644:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-ff5373c7e7901f253421efbbd52d192e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle   \\begin{vmatrix}-1 &amp; 2\\\\[1.1ex] 2 &amp; 4 \\end{vmatrix} =-4-4=-8 \\neq 0\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"213\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0628\u0645\u0627 \u0623\u0646 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u0644\u0647\u0627 \u0645\u062d\u062f\u062f \u0645\u0646 \u0627\u0644\u0631\u062a\u0628\u0629 2 \u064a\u062e\u062a\u0644\u0641 \u0639\u0646 0\u060c \u0641\u0625\u0646 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 A \u0645\u0646 \u0627\u0644\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-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;. \u0646\u062d\u0646 \u0646\u0639\u0644\u0645 \u0628\u0627\u0644\u0641\u0639\u0644 \u0623\u0646 \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 \u0646\u062d\u0627\u0648\u0644 \u0627\u0644\u0622\u0646\u060c \u0639\u0644\u0649 \u0633\u0628\u064a\u0644 \u0627\u0644\u0645\u062b\u0627\u0644\u060c \u0645\u0639 \u0645\u062d\u062f\u062f \u0627\u0644\u0623\u0639\u0645\u062f\u0629 1 \u06483 \u06484:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a95e30910bd64db920f3c2bcb5f2ff62_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\begin{vmatrix} -1 &amp; 1 &amp; 2 \\\\[1.1ex] 2 &amp; 2 &amp; 0 \\\\[1.1ex] 1 &amp;  -1 &amp; 3\\end{vmatrix} = -20\" title=\"Rendered by QuickLaTeX.com\" height=\"86\" width=\"152\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0645\u0646 \u0646\u0627\u062d\u064a\u0629 \u0623\u062e\u0631\u0649\u060c \u062a\u062d\u062a\u0648\u064a \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 A&#8217; \u0639\u0644\u0649 \u0645\u062d\u062f\u062f 3\u00d73 \u0627\u0644\u0630\u064a \u062a\u062e\u062a\u0644\u0641 \u0646\u062a\u064a\u062c\u062a\u0647 \u0639\u0646 0\u060c \u0628\u062d\u064a\u062b \u062a\u0643\u0648\u0646 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 A&#8217; \u0641\u064a \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\"> \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a\u060c \u0639\u0646\u062f\u0645\u0627 \u062a\u0643\u0648\u0646 m = -1\u060c \u062a\u0643\u0648\u0646 \u0631\u062a\u0628\u0629 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 A \u0623\u0642\u0644 \u0645\u0646 \u0631\u062a\u0628\u0629 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 A&#8217;. \u0648\u0647\u0643\u0630\u0627\u060c \u0645\u0646 \u0646\u0638\u0631\u064a\u0629 \u0631\u0648\u0634\u064a\u0647-\u0641\u0631\u0648\u0628\u064a\u0646\u064a\u0648\u0633\u060c \u0646\u0633\u062a\u0646\u062a\u062c \u0623\u0646 \u0627\u0644\u0646\u0638\u0627\u0645 \u0647\u0648 \u0646\u0638\u0627\u0645 \u063a\u064a\u0631 \u0645\u062a\u0648\u0627\u0641\u0642 (IS):<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-b2bb3fec88cf5c6d788afb4480ab1f58_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')=3 \\\\[1.3ex] \\color{black}\\text{N\\'umero de inc\\'ognitas} = 3 \\end{array}} \\\\ \\\\ \\color{blue} \\boxed{ \\color{black}\\phantom{^9_9} rg(A) = 2 \\ \\neq \\ rg(A') = 3 \\color{blue} \\ \\bm{\\longrightarrow} \\ \\color{black} \\bm{SI}\\phantom{^9_9}} \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"138\" width=\"426\" 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 \u0641\u0625\u0646 \u0646\u0638\u0627\u0645 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0627\u062a <strong>\u0644\u064a\u0633 \u0644\u0647 \u062d\u0644 \u0639\u0646\u062f\u0645\u0627 \u062a\u0643\u0648\u0646 m=-1<\/strong> \u0644\u0623\u0646\u0647 \u0646\u0638\u0627\u0645 \u063a\u064a\u0631 \u0645\u062a\u0648\u0627\u0641\u0642.<\/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>\u0641\u064a \u0647\u0630\u0647 \u0627\u0644\u0635\u0641\u062d\u0629 \u0633\u0648\u0641 \u0646\u0631\u0649 \u0643\u064a\u0641\u064a\u0629 \u0645\u0646\u0627\u0642\u0634\u0629 \u0648\u062d\u0644 \u0646\u0638\u0627\u0645 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0645\u0639 \u0627\u0644\u0645\u0639\u0644\u0645\u0627\u062a . \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 \u0645\u062d\u0644\u0648\u0644\u0629 \u0644\u0623\u0646\u0638\u0645\u0629 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0627\u0644\u062e\u0637\u064a\u0629 \u0644\u0644\u062a\u062f\u0631\u0628 \u0639\u0644\u064a\u0647\u0627. \u0645\u0646 \u0646\u0627\u062d\u064a\u0629 \u0623\u062e\u0631\u0649\u060c \u0644\u062a\u062d\u0644\u064a\u0644 \u0623\u0646\u0638\u0645\u0629 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0627\u0644\u062e\u0637\u064a\u0629\u060c \u0645\u0646 \u0627\u0644\u0645\u0647\u0645 \u0623\u0646 \u062a\u0639\u0631\u0641 \u0645\u0627 \u0647\u064a \u0642\u0627\u0639\u062f\u0629 \u0643\u0631\u0627\u0645\u0631 \u0648\u0645\u0627 \u0647\u064a \u0646\u0638\u0631\u064a\u0629 \u0631\u0648\u0634\u064a\u0647-\u0641\u0631\u0648\u0628\u064a\u0646\u064a\u0648\u0633 \u060c \u0644\u0623\u0646\u0646\u0627 \u0633\u0646\u0633\u062a\u062e\u062f\u0645\u0647\u0645\u0627 \u0628\u0627\u0633\u062a\u0645\u0631\u0627\u0631. \u0645\u062b\u0627\u0644 \u0644\u0646\u0638\u0627\u0645 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0627\u0644\u062e\u0637\u064a\u0629 \u0645\u0639 \u0627\u0644\u0645\u0639\u0644\u0645\u0627\u062a \u0646\u0627\u0642\u0634 &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/ar\/%d9%85%d9%86%d8%a7%d9%82%d8%b4%d8%a9-%d8%a3%d9%86%d8%b8%d9%85%d8%a9-%d8%a7%d9%84%d9%85%d8%b9%d8%a7%d8%af%d9%84%d8%a7%d8%aa-%d9%85%d8%b9-%d8%a7%d9%84%d9%85%d8%b9%d9%84%d9%85%d8%a7%d8%aa\/\"> <span class=\"screen-reader-text\">\u0645\u0646\u0627\u0642\u0634\u0629 \u0623\u0646\u0638\u0645\u0629 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0645\u0639 \u0627\u0644\u0645\u0639\u0644\u0645\u0627\u062a<\/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":[9],"tags":[],"class_list":["post-309","post","type-post","status-publish","format-standard","hentry","category-9"],"yoast_head":"<!-- This site is optimized 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