{"id":289,"date":"2023-07-06T20:34:06","date_gmt":"2023-07-06T20:34:06","guid":{"rendered":"https:\/\/mathority.org\/ar\/%d8%a7%d9%84%d9%85%d8%ad%d8%af%d8%af%d8%a7%d8%aa-3x3-%d8%a3%d9%85%d8%ab%d9%84%d8%a9-%d8%b9%d9%84%d9%89-%d9%82%d8%a7%d8%b9%d8%af%d8%a9-%d8%b3%d8%a7%d8%b1%d9%88%d8%b3-%d9%88%d8%aa%d9%85%d8%a7%d8%b1\/"},"modified":"2023-07-06T20:34:06","modified_gmt":"2023-07-06T20:34:06","slug":"%d8%a7%d9%84%d9%85%d8%ad%d8%af%d8%af%d8%a7%d8%aa-3x3-%d8%a3%d9%85%d8%ab%d9%84%d8%a9-%d8%b9%d9%84%d9%89-%d9%82%d8%a7%d8%b9%d8%af%d8%a9-%d8%b3%d8%a7%d8%b1%d9%88%d8%b3-%d9%88%d8%aa%d9%85%d8%a7%d8%b1","status":"publish","type":"post","link":"https:\/\/mathority.org\/ar\/%d8%a7%d9%84%d9%85%d8%ad%d8%af%d8%af%d8%a7%d8%aa-3x3-%d8%a3%d9%85%d8%ab%d9%84%d8%a9-%d8%b9%d9%84%d9%89-%d9%82%d8%a7%d8%b9%d8%af%d8%a9-%d8%b3%d8%a7%d8%b1%d9%88%d8%b3-%d9%88%d8%aa%d9%85%d8%a7%d8%b1\/","title":{"rendered":"\u0627\u062d\u0633\u0628 \u0645\u062d\u062f\u062f \u0645\u0635\u0641\u0648\u0641\u0629 3\u00d73 \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0642\u0627\u0639\u062f\u0629 \u0633\u0627\u0631\u0648\u0633"},"content":{"rendered":"<p style=\";text-align:right;direction:rtl\">\u0641\u064a \u0647\u0630\u0647 \u0627\u0644\u0635\u0641\u062d\u0629 \u0633\u0648\u0641 \u062a\u062a\u0639\u0644\u0645 \u0645\u0627 \u0647\u0648 \u0645\u062d\u062f\u062f \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u0645\u0631\u0628\u0639\u0629 3&#215;3. \u0633\u062a\u0631\u0649 \u0643\u064a\u0641\u064a\u0629 \u062d\u0644 \u0645\u062d\u062f\u062f\u0627\u062a \u0627\u0644\u062a\u0631\u062a\u064a\u0628 3 \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0642\u0627\u0639\u062f\u0629 \u0633\u0627\u0631\u0648\u0633. \u0648\u0628\u0627\u0644\u0625\u0636\u0627\u0641\u0629 \u0625\u0644\u0649 \u0630\u0644\u0643\u060c \u0644\u062f\u064a\u0643 \u0623\u0645\u062b\u0644\u0629 \u0648\u062a\u0645\u0627\u0631\u064a\u0646 \u062a\u0645 \u062d\u0644\u0647\u0627 \u062e\u0637\u0648\u0629 \u0628\u062e\u0637\u0648\u0629\u060c \u062d\u062a\u0649 \u062a\u062a\u0645\u0643\u0646 \u0645\u0646 \u0627\u0644\u062a\u062f\u0631\u0628 \u0639\u0644\u064a\u0647\u0627 \u0648\u0641\u0647\u0645\u0647\u0627 \u0628\u0634\u0643\u0644 \u0645\u062b\u0627\u0644\u064a.<\/p>\n<p style=\";text-align:right;direction:rtl\"><strong><\/strong><\/p>\n<h2 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"> \u0645\u0627 \u0647\u0648 \u0645\u062d\u062f\u062f \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 3\u00d73\u061f <\/h2>\n<p style=\";text-align:right;direction:rtl\"><strong><\/strong><\/p>\n<div class=\"adsb30\" style=\" margin:12px; text-align:center;text-align:right;direction:rtl\">\n<div id=\"ezoic-pub-ad-placeholder-109\" style=\";text-align:right;direction:rtl\"><\/div>\n<\/div>\n<p style=\";text-align:right;direction:rtl\"> <strong>\u0645\u062d\u062f\u062f \u0627\u0644\u0631\u062a\u0628\u0629<\/strong> 3 \u0647\u0648 \u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u0628\u0639\u062f 3\u00d73 <strong>\u0645\u0645\u062b\u0644\u0629 \u0628\u0634\u0631\u064a\u0637 \u0631\u0623\u0633\u064a \u0639\u0644\u0649 \u0643\u0644 \u062c\u0627\u0646\u0628 \u0645\u0646 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629.<\/strong> \u0639\u0644\u0649 \u0633\u0628\u064a\u0644 \u0627\u0644\u0645\u062b\u0627\u0644\u060c \u0625\u0630\u0627 \u0643\u0627\u0646 \u0644\u062f\u064a\u0646\u0627 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u062a\u0627\u0644\u064a\u0629:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-7b5e89b706893e88dd15882e3685afb1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A = \\begin{pmatrix} 2 &amp; 0 &amp; 4 \\\\[1.1ex] 3 &amp; -1 &amp; 5 \\\\[1.1ex] 1 &amp; 6 &amp; -2  \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"85\" width=\"150\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u064a\u062a\u0645 \u062a\u0645\u062b\u064a\u0644 <strong>\u0645\u062d\u062f\u062f \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 A<\/strong> \u0639\u0644\u0649 \u0627\u0644\u0646\u062d\u0648 \u0627\u0644\u062a\u0627\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-41db04327de87a80f1e0e4dd6dcb220a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\lvert A \\rvert = \\begin{vmatrix} 2 &amp; 0 &amp; 4 \\\\[1.1ex] 3 &amp; -1 &amp; 5 \\\\[1.1ex] 1 &amp; 6 &amp; -2 \\end{vmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"86\" width=\"141\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0643\u0645\u0627 \u0631\u0623\u064a\u062a\u060c \u0641\u0625\u0646 \u0643\u062a\u0627\u0628\u0629 \u0645\u062d\u062f\u062f \u0645\u0635\u0641\u0648\u0641\u0629 \u0645\u0631\u0628\u0639\u0629 \u0645\u0646 \u0627\u0644\u0631\u062a\u0628\u0629 3 \u0623\u0645\u0631 \u0633\u0647\u0644. \u0627\u0644\u0622\u0646 \u062f\u0639\u0648\u0646\u0627 \u0646\u0631\u0649 \u0643\u064a\u0641\u064a\u0629 \u062d\u0644\u0647\u0627:<\/p>\n<h2 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"> \u0643\u064a\u0641\u064a\u0629 \u062d\u0633\u0627\u0628 \u0645\u062d\u062f\u062f \u0627\u0644\u0637\u0644\u0628 3\u061f<\/h2>\n<p style=\";text-align:right;direction:rtl\"><strong><\/strong><\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0644\u0625\u0646\u0634\u0627\u0621 \u0645\u062d\u062f\u062f\u0627\u062a \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0627\u062a 3\u00d73 \u0639\u0644\u064a\u0643 \u062a\u0637\u0628\u064a\u0642 <strong>\u0642\u0627\u0639\u062f\u0629 \u0633\u0627\u0631\u0648\u0633<\/strong> :<\/p>\n<h2 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"> \u062d\u0643\u0645 \u0633\u0627\u0631\u0648\u0633<\/h2>\n<p class=\"has-background\" style=\"background-color:#dff6ff;text-align:right;direction:rtl\"> \u062a\u0646\u0635 <strong>\u0642\u0627\u0639\u062f\u0629 \u0633\u0627\u0631\u0648\u0633<\/strong> \u0639\u0644\u0649 \u0623\u0646\u0647 \u0644\u062d\u0633\u0627\u0628 \u0645\u062d\u062f\u062f \u0627\u0644\u0631\u062a\u0628\u0629 3\u060c \u064a\u062c\u0628 \u0623\u0646 \u0646\u062c\u0645\u0639 \u062d\u0627\u0635\u0644 \u0636\u0631\u0628 \u0639\u0646\u0627\u0635\u0631 \u0627\u0644\u0642\u0637\u0631 \u0627\u0644\u0623\u0643\u0628\u0631 \u0648\u062d\u0627\u0635\u0644 \u0623\u0642\u0637\u0627\u0631\u0647 \u0627\u0644\u0645\u062a\u0648\u0627\u0632\u064a\u0629 \u0645\u0639 \u0631\u0621\u0648\u0633\u0647\u0627 \u0627\u0644\u0645\u0642\u0627\u0628\u0644\u0629 \u0627\u0644\u0645\u0642\u0627\u0628\u0644\u0629\u060c \u062b\u0645 \u0646\u0637\u0631\u062d \u062d\u0627\u0635\u0644 \u0636\u0631\u0628 \u0639\u0646\u0627\u0635\u0631 \u0627\u0644\u0642\u0637\u0631 \u0627\u0644\u0623\u0635\u063a\u0631 \u0648 \u062d\u0627\u0635\u0644 \u0636\u0631\u0628 \u0642\u0637\u0631\u064a\u0647\u0627 \u0627\u0644\u0645\u062a\u0648\u0627\u0632\u064a\u064a\u0646 \u0641\u064a \u0631\u0621\u0648\u0633\u0647\u0645\u0627 \u0627\u0644\u0645\u0642\u0627\u0628\u0644\u0629 \u0644\u0647\u0627. <\/p>\n<p style=\";text-align:right;direction:rtl\"><strong><\/strong><\/p>\n<div class=\"adsb30\" style=\" margin:12px; text-align:center;text-align:right;direction:rtl\">\n<div id=\"ezoic-pub-ad-placeholder-110\" style=\";text-align:right;direction:rtl\"><\/div>\n<\/div>\n<p style=\";text-align:right;direction:rtl\"> \u0625\u0630\u0627 \u062a\u0645\u062a \u0643\u062a\u0627\u0628\u062a\u0647\u0627 \u0628\u0647\u0630\u0647 \u0627\u0644\u0637\u0631\u064a\u0642\u0629\u060c \u0641\u0642\u062f \u064a\u0643\u0648\u0646 \u0645\u0646 \u0627\u0644\u0635\u0639\u0628 \u0641\u0647\u0645\u0647\u0627 \u0628\u0639\u0636 \u0627\u0644\u0634\u064a\u0621\u060c \u0648\u0644\u0643\u0646 \u0627\u0646\u0638\u0631 \u0625\u0644\u0649 \u0643\u064a\u0641\u064a\u0629 \u0625\u062c\u0631\u0627\u0621 \u062d\u0633\u0627\u0628 \u0645\u062d\u062f\u062f\u0627\u062a 3&#215;3 \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0627\u0644\u0631\u0633\u0645 \u0627\u0644\u0628\u064a\u0627\u0646\u064a \u0648\u0627\u0644\u0623\u0645\u062b\u0644\u0629 \u0627\u0644\u062a\u0627\u0644\u064a\u0629: <\/p>\n<figure class=\"wp-block-image size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/regle-de-sarrus.webp\" alt=\"\" class=\"wp-image-1550\" width=\"686\" height=\"135\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<figure class=\"wp-block-image is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/calculer-le-determinant-dune-matrice-32153.webp\" alt=\"\" width=\"776\" height=\"133\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<h2 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"> \u0623\u0645\u062b\u0644\u0629 \u0639\u0644\u0649 \u0645\u062d\u062f\u062f\u0627\u062a 3\u00d73:<\/h2>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-98e60cf465cd0eb7662d47770cd38231_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned} \\begin{vmatrix} 2 &amp; 1 &amp; 3 \\\\[1.1ex] -1 &amp; 1 &amp; 0 \\\\[1.1ex] -2 &amp; 4 &amp; 1 \\end{vmatrix} &amp; = 2 \\cdot 1 \\cdot 1 + 1 \\cdot 0 \\cdot (-2) + (-1) \\cdot 4 \\cdot 3 - (-2) \\cdot 1 \\cdot 3 - 4 \\cdot 0 \\cdot 2- (-1) \\cdot 1 \\cdot 1 \\\\ &amp; = 2 + 0 -12 +6 - 0 +1 \\\\[2ex] &amp; = \\bm{-3} \\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"150\" width=\"637\" 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-41a53c1fd6eae1b51a280a6ce1e2ab91_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned} \\begin{vmatrix} 1 &amp; 0 &amp; 2 \\\\[1.1ex] 3 &amp; 2 &amp; 1 \\\\[1.1ex] 4 &amp; -3 &amp; -1 \\end{vmatrix} &amp; = 1\\cdot 2 \\cdot (-1) + 0 \\cdot 1 \\cdot 4 +3 \\cdot (-3) \\cdot 2 - 4 \\cdot 2 \\cdot 2 - (-3) \\cdot 1 \\cdot 1- 3 \\cdot 0 \\cdot (-1) \\\\ &amp; = -2 +0 -18 - 16 +3- 0 \\\\[2ex] &amp; = \\bm{-33} \\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"150\" width=\"651\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\">\u062d\u0644 \u0645\u0633\u0627\u0626\u0644 \u0645\u062d\u062f\u062f\u0627\u062a \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0627\u062a 3 \u00d7 3<\/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\"> \u062d\u0644 \u0627\u0644\u0645\u062d\u062f\u062f 3&#215;3 \u0627\u0644\u062a\u0627\u0644\u064a: <\/p>\n<div class=\"wp-block-image\" style=\";text-align:right;direction:rtl\">\n<figure class=\"aligncenter is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/exemple-travaille-determinant-32153.webp\" alt=\"\u0645\u062b\u0627\u0644 \u0645\u0644\u0645\u0648\u0633 \u0644\u0645\u062d\u062f\u062f \u0645\u0635\u0641\u0648\u0641\u0629 3x3\" width=\"103\" height=\"110\" 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\"> \u0644\u062d\u0644 \u0645\u062d\u062f\u062f \u0645\u0635\u0641\u0648\u0641\u0629 3\u00d73 \u064a\u062c\u0628 \u0639\u0644\u064a\u0646\u0627 \u062a\u0637\u0628\u064a\u0642 \u0642\u0627\u0639\u062f\u0629 \u0633\u0627\u0631\u0648\u0633: <\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-8f288312b72f3bbabc35ee64bf580d8c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\begin{aligned} \\begin{vmatrix} 2 &amp; 1 &amp; 0 \\\\[1.1ex] 3 &amp; 1 &amp; -1 \\\\[1.1ex] 2 &amp; 0 &amp; 4 \\end{vmatrix} &amp; = 2 \\cdot 1 \\cdot 4 + 1 \\cdot (-1) \\cdot 2 + 3 \\cdot 0 \\cdot 0 - 2 \\cdot 1 \\cdot 0 - 0 \\cdot (-1) \\cdot 2- 3 \\cdot 1 \\cdot 4 \\\\ &amp; = 8 -2 +0 -0- 0-12 \\\\[2ex] &amp; = \\bm{-6} \\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"150\" width=\"583\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\" style=\";text-align:right;direction:rtl\"><\/div>\n<h3 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\">\u062a\u0645\u0631\u064a\u0646 2<\/h3>\n<p style=\";text-align:right;direction:rtl\"> \u0627\u062d\u0633\u0628 \u0627\u0644\u0645\u062d\u062f\u062f \u0627\u0644\u062a\u0627\u0644\u064a \u0644\u0644\u062a\u0631\u062a\u064a\u0628 3: <\/p>\n<div class=\"wp-block-image\" style=\";text-align:right;direction:rtl\">\n<figure class=\"aligncenter is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/determinant-dexercice-resolu-32153.webp\" alt=\"\u062a\u0645\u0631\u064a\u0646 \u062a\u0645 \u062d\u0644\u0647 \u062e\u0637\u0648\u0629 \u0628\u062e\u0637\u0648\u0629 \u0644\u0645\u062d\u062f\u062f \u0645\u0635\u0641\u0648\u0641\u0629 3\u00d73\" width=\"103\" height=\"110\" 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\"> \u0644\u062d\u0633\u0627\u0628 \u0645\u062d\u062f\u062f \u0645\u0635\u0641\u0648\u0641\u0629 \u0645\u0646 \u0627\u0644\u062f\u0631\u062c\u0629 \u0627\u0644\u062b\u0627\u0644\u062b\u0629\u060c \u064a\u062c\u0628 \u0639\u0644\u064a\u0646\u0627 \u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0642\u0627\u0639\u062f\u0629 \u0633\u0627\u0631\u0648\u0633: <\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-64078968233ec50d2e793309d55e55fc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\begin{aligned} \\begin{vmatrix} 1 &amp; -2 &amp; 1 \\\\[1.1ex] 4 &amp; 2 &amp; 1 \\\\[1.1ex] 3 &amp; -1 &amp; 2 \\end{vmatrix} &amp; = 1 \\cdot 2 \\cdot 2 + (-2) \\cdot 1 \\cdot 3 + 4 \\cdot (-1) \\cdot 1 - 3 \\cdot 2 \\cdot 1 - (-1) \\cdot 1 \\cdot 1 - 4 \\cdot (-2) \\cdot 2 \\\\ &amp; = 4 -6 -4 -6+1+16 \\\\[2ex] &amp; = \\bm{5} \\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"150\" width=\"637\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\" style=\";text-align:right;direction:rtl\"><\/div>\n<p style=\";text-align:right;direction:rtl\"><strong><\/strong><\/p>\n<div class=\"adsb30\" style=\" margin:12px; text-align:center;text-align:right;direction:rtl\">\n<div id=\"ezoic-pub-ad-placeholder-111\" style=\";text-align:right;direction:rtl\"><\/div>\n<p style=\";text-align:right;direction:rtl\"><strong><br \/><\/strong><\/p>\n<\/div>\n<h3 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"> \u0627\u0644\u062a\u0645\u0631\u064a\u0646 3<\/h3>\n<p style=\";text-align:right;direction:rtl\"> \u0623\u0648\u062c\u062f \u062d\u0644 \u0645\u062d\u062f\u062f \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 3\u00d73 \u0627\u0644\u062a\u0627\u0644\u064a\u0629: <\/p>\n<div class=\"wp-block-image\" style=\";text-align:right;direction:rtl\">\n<figure class=\"aligncenter is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/exercices-resolus-de-determinants-33.webp\" alt=\"\u062a\u0645\u0627\u0631\u064a\u0646 \u0645\u062d\u0644\u0648\u0644\u0629 \u062e\u0637\u0648\u0629 \u0628\u062e\u0637\u0648\u0629 \u0644\u0645\u062d\u062f\u062f\u0627\u062a \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0627\u062a 3x3\" width=\"139\" height=\"111\" 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\"> \u0644\u062a\u062d\u062f\u064a\u062f \u0645\u0635\u0641\u0648\u0641\u0629 3&#215;3\u060c \u064a\u062c\u0628 \u0639\u0644\u064a\u0646\u0627 \u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0642\u0627\u0639\u062f\u0629 \u0633\u0627\u0631\u0648\u0633: <\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-fd4494ae66a604834b8f9f47fcbbe41d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\begin{aligned} \\begin{vmatrix}1 &amp; 3 &amp; -2 \\\\[1.1ex] 2 &amp; -3 &amp; 4 \\\\[1.1ex] -1 &amp; 2 &amp; 5 \\end{vmatrix} &amp; = \\\\ &amp; = 1 \\cdot (-3) \\cdot 5 + 3 \\cdot 4 \\cdot (-1) + 2 \\cdot 2 \\cdot (-2) \\ - \\\\[1.1ex] &amp; \\phantom{=} - (-1) \\cdot (-3) \\cdot (-2) - 2 \\cdot 4 \\cdot 1 - 2 \\cdot 3 \\cdot 5 \\\\[2.5ex] &amp; = -15 -12 -8 +6-8-30 \\\\[2.5ex] &amp; = \\bm{-67} \\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"235\" width=\"435\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\" style=\";text-align:right;direction:rtl\"><\/div>\n<h3 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\">\u0627\u0644\u062a\u0645\u0631\u064a\u0646 4<\/h3>\n<p style=\";text-align:right;direction:rtl\"> \u0623\u0648\u062c\u062f \u062d\u0644 \u0645\u062d\u062f\u062f \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u0645\u0646 \u0627\u0644\u0631\u062a\u0628\u0629 \u0627\u0644\u062b\u0627\u0644\u062b\u0629 \u0627\u0644\u062a\u0627\u0644\u064a\u0629: <\/p>\n<div class=\"wp-block-image\" style=\";text-align:right;direction:rtl\">\n<figure class=\"aligncenter is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/exercice-resolu-dun-determinant-dune-matrice-33.webp\" alt=\"\u062d\u0644 \u062a\u0645\u0631\u064a\u0646 \u0645\u062d\u062f\u062f \u0645\u0635\u0641\u0648\u0641\u0629 3x3\" width=\"122\" height=\"113\" 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\"> \u0644\u0625\u064a\u062c\u0627\u062f \u062d\u0644 \u0645\u062d\u062f\u062f \u0645\u0635\u0641\u0648\u0641\u0629 3\u00d73 \u064a\u062c\u0628 \u0639\u0644\u064a\u0646\u0627 \u062a\u0637\u0628\u064a\u0642 \u0635\u064a\u063a\u0629 \u0633\u0627\u0631\u0648\u0633: <\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-8e811024d460a60a1df59983b1f700e8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\begin{aligned} \\begin{vmatrix} 3 &amp; 1 &amp; -1 \\\\[1.1ex] 6 &amp; 1 &amp; -2 \\\\[1.1ex] 4 &amp; -3 &amp; 2 \\end{vmatrix} &amp; = \\\\ &amp; = 3 \\cdot 1 \\cdot 2 + 1 \\cdot (-2) \\cdot 4 + 6 \\cdot (-3) \\cdot (-1) \\ - \\\\[1.1ex] &amp; \\phantom{=} - 4 \\cdot 1 \\cdot (-1) - (-3) \\cdot (-2) \\cdot 3 - 6 \\cdot 1 \\cdot 2 \\\\[2.5ex] &amp; =6 -8 +18 +4-18-12 \\\\[2.5ex] &amp; = \\bm{-10} \\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"235\" width=\"422\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\" style=\";text-align:right;direction:rtl\"><\/div>\n<h3 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\">\u0627\u0644\u062a\u0645\u0631\u064a\u0646 5<\/h3>\n<p style=\";text-align:right;direction:rtl\"> \u0623\u0648\u062c\u062f \u0642\u064a\u0645\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-5c53d6ebabdbcfa4e107550ea60b1b19_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"a\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"9\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0648\u0627\u0644\u0630\u064a \u064a\u0644\u063a\u064a \u0627\u0644\u0645\u062d\u062f\u062f \u0627\u0644\u062b\u0627\u0644\u062b \u0627\u0644\u062a\u0627\u0644\u064a: <\/p>\n<div class=\"wp-block-image\" style=\";text-align:right;direction:rtl\">\n<figure class=\"aligncenter is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/exercices-resolus-de-determinants-dordre-3.webp\" alt=\"\u062a\u0645\u0627\u0631\u064a\u0646 \u0645\u062d\u0644\u0648\u0644\u0629 \u062e\u0637\u0648\u0629 \u0628\u062e\u0637\u0648\u0629 \u0644\u0645\u062d\u062f\u062f\u0627\u062a \u0627\u0644\u0631\u062a\u0628\u0629 3\" width=\"121\" height=\"109\" 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\u062d\u0633\u0628 \u0623\u0648\u0644\u0627\u064b\u060c \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0642\u0627\u0639\u062f\u0629 \u0633\u0627\u0631\u0648\u0633\u060c \u0642\u064a\u0645\u0629 \u0627\u0644\u0645\u062d\u062f\u062f \u0643\u062f\u0627\u0644\u0629 \u0644\u0640 <\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-e5d80bc6266288d3d9b79acb4281f64b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"a :\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"18\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-07e67cfc5e45c0a11c35d643cd4c1c78_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\begin{aligned}\\begin{vmatrix} 4 &amp; 6 &amp; -5 \\\\[1.1ex] -2 &amp; 4 &amp; 2 \\\\[1.1ex] -1 &amp; 2 &amp; a \\end{vmatrix} &amp; = \\\\ &amp; = 4 \\cdot 4 \\cdot a + 6 \\cdot 2 \\cdot (-1) + (-2) \\cdot 2 \\cdot (-5) \\ - \\\\[1.1ex] &amp; \\phantom{=}- (-1) \\cdot 4 \\cdot (-5) - 2 \\cdot 2 \\cdot 4 - (-2) \\cdot 6 \\cdot a \\\\[2.5ex] &amp; = 16a -12 + 20 - 20 - 16 +12a \\\\[2.5ex] &amp; = 28a -28 \\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"235\" width=\"422\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0644\u0643\u064a \u064a\u062e\u062a\u0641\u064a \u0627\u0644\u0645\u062d\u062f\u062f \u064a\u062c\u0628 \u0623\u0646 \u062a\u0643\u0648\u0646 \u0627\u0644\u0646\u062a\u064a\u062c\u0629 0. \u0644\u0630\u0644\u0643\u060c \u0646\u062c\u0639\u0644 \u0627\u0644\u0646\u062a\u064a\u062c\u0629 \u062a\u0633\u0627\u0648\u064a 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-952115a30fff34de20c4ecde3bbb4b15_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"28a-28=0\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"99\" 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-32cfa3a6788c4564b2807c4dbe65b59e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"28a=28\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"69\" 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-9b25a023b34312f26158baa4e03bd6e6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"a=\\cfrac{28}{28} = \\bm{1}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"84\" 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<p style=\";text-align:right;direction:rtl\"><strong><\/strong><\/p>\n<div class=\"adsb30\" style=\" margin:12px; text-align:center;text-align:right;direction:rtl\">\n<div id=\"ezoic-pub-ad-placeholder-116\" style=\";text-align:right;direction:rtl\"><\/div>\n<p style=\";text-align:right;direction:rtl\"><strong><br \/><\/strong><\/p>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>\u0641\u064a \u0647\u0630\u0647 \u0627\u0644\u0635\u0641\u062d\u0629 \u0633\u0648\u0641 \u062a\u062a\u0639\u0644\u0645 \u0645\u0627 \u0647\u0648 \u0645\u062d\u062f\u062f \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u0645\u0631\u0628\u0639\u0629 3&#215;3. \u0633\u062a\u0631\u0649 \u0643\u064a\u0641\u064a\u0629 \u062d\u0644 \u0645\u062d\u062f\u062f\u0627\u062a \u0627\u0644\u062a\u0631\u062a\u064a\u0628 3 \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0642\u0627\u0639\u062f\u0629 \u0633\u0627\u0631\u0648\u0633. \u0648\u0628\u0627\u0644\u0625\u0636\u0627\u0641\u0629 \u0625\u0644\u0649 \u0630\u0644\u0643\u060c \u0644\u062f\u064a\u0643 \u0623\u0645\u062b\u0644\u0629 \u0648\u062a\u0645\u0627\u0631\u064a\u0646 \u062a\u0645 \u062d\u0644\u0647\u0627 \u062e\u0637\u0648\u0629 \u0628\u062e\u0637\u0648\u0629\u060c \u062d\u062a\u0649 \u062a\u062a\u0645\u0643\u0646 \u0645\u0646 \u0627\u0644\u062a\u062f\u0631\u0628 \u0639\u0644\u064a\u0647\u0627 \u0648\u0641\u0647\u0645\u0647\u0627 \u0628\u0634\u0643\u0644 \u0645\u062b\u0627\u0644\u064a. \u0645\u0627 \u0647\u0648 \u0645\u062d\u062f\u062f \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 3\u00d73\u061f \u0645\u062d\u062f\u062f \u0627\u0644\u0631\u062a\u0628\u0629 3 \u0647\u0648 \u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u0628\u0639\u062f 3\u00d73 \u0645\u0645\u062b\u0644\u0629 \u0628\u0634\u0631\u064a\u0637 \u0631\u0623\u0633\u064a \u0639\u0644\u0649 \u0643\u0644 &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/ar\/%d8%a7%d9%84%d9%85%d8%ad%d8%af%d8%af%d8%a7%d8%aa-3x3-%d8%a3%d9%85%d8%ab%d9%84%d8%a9-%d8%b9%d9%84%d9%89-%d9%82%d8%a7%d8%b9%d8%af%d8%a9-%d8%b3%d8%a7%d8%b1%d9%88%d8%b3-%d9%88%d8%aa%d9%85%d8%a7%d8%b1\/\"> <span class=\"screen-reader-text\">\u0627\u062d\u0633\u0628 \u0645\u062d\u062f\u062f \u0645\u0635\u0641\u0648\u0641\u0629 3\u00d73 \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0642\u0627\u0639\u062f\u0629 \u0633\u0627\u0631\u0648\u0633<\/span> \u0642\u0631\u0627\u0621\u0629 \u0627\u0644\u0645\u0632\u064a\u062f &raquo;<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"","footnotes":""},"categories":[7],"tags":[],"class_list":["post-289","post","type-post","status-publish","format-standard","hentry","category-7"],"yoast_head":"<!-- This site is optimized 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