{"id":307,"date":"2023-07-06T14:13:39","date_gmt":"2023-07-06T14:13:39","guid":{"rendered":"https:\/\/mathority.org\/ru\/%d0%bf%d1%80%d0%b8%d0%bc%d0%b5%d1%80%d1%8b-%d0%bf%d1%80%d0%b0%d0%b2%d0%b8%d0%bb-%d0%b8-%d1%80%d0%b5%d1%88%d0%b5%d0%bd%d0%bd%d1%8b%d0%b5-%d1%83%d0%bf%d1%80%d0%b0%d0%b6%d0%bd%d0%b5%d0%bd%d0%b8%d1%8f\/"},"modified":"2023-07-06T14:13:39","modified_gmt":"2023-07-06T14:13:39","slug":"%d0%bf%d1%80%d0%b8%d0%bc%d0%b5%d1%80%d1%8b-%d0%bf%d1%80%d0%b0%d0%b2%d0%b8%d0%bb-%d0%b8-%d1%80%d0%b5%d1%88%d0%b5%d0%bd%d0%bd%d1%8b%d0%b5-%d1%83%d0%bf%d1%80%d0%b0%d0%b6%d0%bd%d0%b5%d0%bd%d0%b8%d1%8f","status":"publish","type":"post","link":"https:\/\/mathority.org\/ru\/%d0%bf%d1%80%d0%b8%d0%bc%d0%b5%d1%80%d1%8b-%d0%bf%d1%80%d0%b0%d0%b2%d0%b8%d0%bb-%d0%b8-%d1%80%d0%b5%d1%88%d0%b5%d0%bd%d0%bd%d1%8b%d0%b5-%d1%83%d0%bf%d1%80%d0%b0%d0%b6%d0%bd%d0%b5%d0%bd%d0%b8%d1%8f\/","title":{"rendered":"\u041f\u0440\u0430\u0432\u0438\u043b\u043e \u043a\u0440\u0430\u043c\u0435\u0440\u0430"},"content":{"rendered":"<p>\u041d\u0430 \u044d\u0442\u043e\u0439 \u0441\u0442\u0440\u0430\u043d\u0438\u0446\u0435 \u0432\u044b \u0443\u0432\u0438\u0434\u0438\u0442\u0435, \u0447\u0442\u043e \u0442\u0430\u043a\u043e\u0435 \u043f\u0440\u0430\u0432\u0438\u043b\u043e \u041a\u0440\u0430\u043c\u0435\u0440\u0430, \u0430 \u0442\u0430\u043a\u0436\u0435 \u043d\u0430\u0439\u0434\u0435\u0442\u0435 \u043f\u0440\u0438\u043c\u0435\u0440\u044b \u0438 \u0443\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u044f \u0441 \u0440\u0435\u0448\u0435\u043d\u0438\u0435\u043c \u0441\u0438\u0441\u0442\u0435\u043c \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0439 \u043f\u043e \u043f\u0440\u0430\u0432\u0438\u043b\u0443 \u041a\u0440\u0430\u043c\u0435\u0440\u0430.<\/p>\n<h2 class=\"wp-block-heading\"> \u0427\u0442\u043e \u0442\u0430\u043a\u043e\u0435 \u043f\u0440\u0430\u0432\u0438\u043b\u043e \u041a\u0440\u0430\u043c\u0435\u0440\u0430?<\/h2>\n<p> <strong>\u041f\u0440\u0430\u0432\u0438\u043b\u043e \u041a\u0440\u0430\u043c\u0435\u0440\u0430<\/strong> \u2014 \u044d\u0442\u043e \u043c\u0435\u0442\u043e\u0434 \u0440\u0435\u0448\u0435\u043d\u0438\u044f \u0441\u0438\u0441\u0442\u0435\u043c \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0439 \u0441 \u043f\u043e\u043c\u043e\u0449\u044c\u044e \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u0435\u043b\u0435\u0439. \u0414\u0430\u0432\u0430\u0439\u0442\u0435 \u043f\u043e\u0441\u043c\u043e\u0442\u0440\u0438\u043c, \u043a\u0430\u043a \u043e\u043d \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u0443\u0435\u0442\u0441\u044f:<\/p>\n<p> \u0420\u0430\u0441\u0441\u043c\u043e\u0442\u0440\u0438\u043c \u0441\u0438\u0441\u0442\u0435\u043c\u0443 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0439:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-e0141f3451719f665ef28e4061489551_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{cases} ax+by+cz= \\color{red}\\bm{j} \\\\[1.5ex] dx+ey+fz=\\color{red}\\bm{k} \\\\[1.5ex] gx+hy+iz = \\color{red}\\bm{l} \\end{cases}\" title=\"Rendered by QuickLaTeX.com\" height=\"97\" width=\"171\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> \u041c\u0430\u0442\u0440\u0438\u0446\u0430 A \u0438 \u0440\u0430\u0441\u0448\u0438\u0440\u0435\u043d\u043d\u0430\u044f \u043c\u0430\u0442\u0440\u0438\u0446\u0430 A&#8217; \u0441\u0438\u0441\u0442\u0435\u043c\u044b:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-1d628a13ec7de4b3ba7a301c0a5d8ac6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  A= \\left( \\begin{array}{ccc} a &amp; b &amp; c  \\\\[1.1ex] d &amp; e &amp; f  \\\\[1.1ex] g &amp; h &amp; i  \\end{array} \\right) \\qquad A'= \\left( \\begin{array}{ccc|c} a &amp; b &amp; c &amp;  \\color{red}\\bm{j}  \\\\[1.1ex] d &amp; e &amp; f &amp; \\color{red}\\bm{k} \\\\[1.1ex] g &amp; h &amp; i &amp; \\color{red}\\bm{l} \\end{array} \\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"85\" width=\"384\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> <strong><span style=\"text-decoration: underline;\">\u041f\u0440\u0430\u0432\u0438\u043b\u043e \u041a\u0440\u0430\u043c\u0435\u0440\u0430<\/span><\/strong> \u0433\u043b\u0430\u0441\u0438\u0442, \u0447\u0442\u043e \u0440\u0435\u0448\u0435\u043d\u0438\u0435\u043c \u0441\u0438\u0441\u0442\u0435\u043c\u044b \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0439 \u044f\u0432\u043b\u044f\u0435\u0442\u0441\u044f: <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/quelle-est-la-regle-de-cramer.webp\" alt=\"\u0447\u0442\u043e \u0442\u0430\u043a\u043e\u0435 \u043f\u0440\u0430\u0432\u0438\u043b\u043e \u041a\u0440\u0430\u043c\u0435\u0440\u0430, \u043e\u0431\u044a\u044f\u0441\u043d\u0435\u043d\u0438\u0435 \u043f\u0440\u0430\u0432\u0438\u043b\u0430 \u041a\u0440\u0430\u043c\u0435\u0440\u0430\" class=\"wp-image-1062\" width=\"677\" height=\"385\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p> \u041e\u0431\u0440\u0430\u0442\u0438\u0442\u0435 \u0432\u043d\u0438\u043c\u0430\u043d\u0438\u0435, \u0447\u0442\u043e \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u0435\u043b\u0438 \u0447\u0438\u0441\u043b\u0438\u0442\u0435\u043b\u0435\u0439 \u0430\u043d\u0430\u043b\u043e\u0433\u0438\u0447\u043d\u044b \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u0435\u043b\u044f\u043c \u043c\u0430\u0442\u0440\u0438\u0446\u044b A, \u043d\u043e \u0441\u0442\u043e\u043b\u0431\u0435\u0446 \u043a\u0430\u0436\u0434\u043e\u0433\u043e \u043d\u0435\u0438\u0437\u0432\u0435\u0441\u0442\u043d\u043e\u0433\u043e \u0437\u0430\u043c\u0435\u043d\u044f\u0435\u0442\u0441\u044f \u0441\u0442\u043e\u043b\u0431\u0446\u043e\u043c \u043d\u0435\u0437\u0430\u0432\u0438\u0441\u0438\u043c\u044b\u0445 \u0447\u043b\u0435\u043d\u043e\u0432.<\/p>\n<p> \u041f\u043e\u044d\u0442\u043e\u043c\u0443 \u043f\u0440\u0430\u0432\u0438\u043b\u043e \u041a\u0440\u0430\u043c\u0435\u0440\u0430 \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u0443\u0435\u0442\u0441\u044f \u0434\u043b\u044f \u0440\u0435\u0448\u0435\u043d\u0438\u044f \u0441\u0438\u0441\u0442\u0435\u043c \u043b\u0438\u043d\u0435\u0439\u043d\u044b\u0445 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0439. \u041d\u043e, \u043a\u0430\u043a \u0432\u044b \u0443\u0436\u0435 \u0437\u043d\u0430\u0435\u0442\u0435, \u0441\u0443\u0449\u0435\u0441\u0442\u0432\u0443\u0435\u0442 \u043c\u043d\u043e\u0436\u0435\u0441\u0442\u0432\u043e \u0441\u043f\u043e\u0441\u043e\u0431\u043e\u0432 \u0440\u0435\u0448\u0435\u043d\u0438\u044f \u0441\u0438\u0441\u0442\u0435\u043c\u044b \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0439, \u043d\u0430\u043f\u0440\u0438\u043c\u0435\u0440 \u0445\u043e\u0440\u043e\u0448\u043e \u0438\u0437\u0432\u0435\u0441\u0442\u0435\u043d  \u043c\u0435\u0442\u043e\u0434 \u0413\u0430\u0443\u0441\u0441\u0430-\u0416\u043e\u0440\u0434\u0430\u043d\u0430  .<\/p>\n<p> \u041d\u0438\u0436\u0435 \u043f\u0440\u0438\u0432\u0435\u0434\u0435\u043d\u044b \u043f\u0440\u0438\u043c\u0435\u0440\u044b \u0440\u0435\u0448\u0435\u043d\u0438\u044f \u0441\u0438\u0441\u0442\u0435\u043c \u043b\u0438\u043d\u0435\u0439\u043d\u044b\u0445 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0439 \u0441 \u043f\u043e\u043c\u043e\u0449\u044c\u044e \u043f\u0440\u0430\u0432\u0438\u043b\u0430 \u041a\u0440\u0430\u043c\u0435\u0440\u0430, \u043a\u043e\u0442\u043e\u0440\u043e\u0435 \u0438\u043d\u043e\u0433\u0434\u0430 \u0442\u0430\u043a\u0436\u0435 \u0437\u0430\u043f\u0438\u0441\u044b\u0432\u0430\u044e\u0442 \u043a\u0430\u043a \u043f\u0440\u0430\u0432\u0438\u043b\u043e \u041a\u0440\u0430\u043c\u0435\u0440\u0430.<\/p>\n<h2 class=\"wp-block-heading\"> \u041f\u0440\u0438\u043c\u0435\u0440 1: \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u043d\u0430\u044f \u0441\u043e\u0432\u043c\u0435\u0441\u0442\u0438\u043c\u0430\u044f \u0441\u0438\u0441\u0442\u0435\u043c\u0430 (SCD)<\/h2>\n<ul>\n<li> \u0420\u0435\u0448\u0438\u0442\u0435 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0443\u044e \u0441\u0438\u0441\u0442\u0435\u043c\u0443 \u0438\u0437 \u0442\u0440\u0435\u0445 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0439 \u0441 \u0442\u0440\u0435\u043c\u044f \u043d\u0435\u0438\u0437\u0432\u0435\u0441\u0442\u043d\u044b\u043c\u0438, \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u0443\u044f \u043f\u0440\u0430\u0432\u0438\u043b\u043e \u041a\u0440\u0430\u043c\u0435\u0440\u0430:<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-6013b7e73c89c24fe388f1a5d018f32b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{cases} 2x+y+3z= 1 \\\\[1.5ex] 3x-2y-z=0 \\\\[1.5ex] x+3y+2z = 5\\end{cases}\" title=\"Rendered by QuickLaTeX.com\" height=\"97\" width=\"135\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> \u0421\u043d\u0430\u0447\u0430\u043b\u0430 \u043c\u044b \u0441\u043e\u0437\u0434\u0430\u0435\u043c \u043c\u0430\u0442\u0440\u0438\u0446\u0443 A \u0438 \u0440\u0430\u0441\u0448\u0438\u0440\u0435\u043d\u043d\u0443\u044e \u043c\u0430\u0442\u0440\u0438\u0446\u0443 A&#8217; \u0441\u0438\u0441\u0442\u0435\u043c\u044b:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-c710ed86223f47f39b5a25720b5ca19d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  A= \\left( \\begin{array}{ccc} 2 &amp; 1 &amp; 3 \\\\[1.1ex] 3 &amp; -2 &amp; -1 \\\\[1.1ex] 1 &amp; 3 &amp; 2\\end{array} \\right) \\qquad A'= \\left( \\begin{array}{ccc|c} 2 &amp; 1 &amp; 3 &amp; 1 \\\\[1.1ex] 3 &amp; -2 &amp; -1 &amp; 0 \\\\[1.1ex] 1 &amp; 3 &amp; 2 &amp; 5 \\end{array} \\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"85\" width=\"405\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> \u0422\u0435\u043f\u0435\u0440\u044c \u043c\u044b \u0432\u044b\u0447\u0438\u0441\u043b\u0438\u043c \u0440\u0430\u043d\u0433 \u0434\u0432\u0443\u0445 \u043c\u0430\u0442\u0440\u0438\u0446, \u0447\u0442\u043e\u0431\u044b \u0443\u0432\u0438\u0434\u0435\u0442\u044c, \u0447\u0442\u043e \u044d\u0442\u043e \u0437\u0430 \u0441\u0438\u0441\u0442\u0435\u043c\u0430. \u0427\u0442\u043e\u0431\u044b \u0432\u044b\u0447\u0438\u0441\u043b\u0438\u0442\u044c \u0440\u0430\u043d\u0433 A, \u043c\u044b \u0432\u044b\u0447\u0438\u0441\u043b\u044f\u0435\u043c \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u0435\u043b\u044c 3 \u00d7 3 \u0432\u0441\u0435\u0439 \u043c\u0430\u0442\u0440\u0438\u0446\u044b (\u0438\u0441\u043f\u043e\u043b\u044c\u0437\u0443\u044f \u043f\u0440\u0430\u0432\u0438\u043b\u043e \u0421\u0430\u0440\u0440\u0443\u0441\u0430) \u0438 \u0441\u043c\u043e\u0442\u0440\u0438\u043c, \u0434\u0430\u0435\u0442 \u043b\u0438 \u043e\u043d 0:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-ae4a3bb88d113494463df8e670c326c6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\begin{vmatrix}A \\end{vmatrix}= \\begin{vmatrix} 2 &amp; 1 &amp; 3 \\\\[1.1ex] 3 &amp; -2 &amp; -1 \\\\[1.1ex] 1 &amp; 3 &amp; 2\\end{vmatrix} =-8-1+27+6+6-6 = 24 \\neq 0\" title=\"Rendered by QuickLaTeX.com\" height=\"86\" width=\"427\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> \u041e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u0435\u043b\u044c \u043c\u0430\u0442\u0440\u0438\u0446\u044b A \u043e\u0442\u043b\u0438\u0447\u0435\u043d \u043e\u0442 0, \u043f\u043e\u044d\u0442\u043e\u043c\u0443 <strong>\u043c\u0430\u0442\u0440\u0438\u0446\u0430 A \u0438\u043c\u0435\u0435\u0442 \u0440\u0430\u043d\u0433 3.<\/strong><\/p>\n<\/p>\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> \u0422\u0430\u043a\u0438\u043c \u043e\u0431\u0440\u0430\u0437\u043e\u043c <strong>, \u043c\u0430\u0442\u0440\u0438\u0446\u0430 A&#8217; \u0442\u0430\u043a\u0436\u0435 \u0438\u043c\u0435\u0435\u0442 \u0440\u0430\u043d\u0433 3<\/strong> , \u043f\u043e\u0441\u043a\u043e\u043b\u044c\u043a\u0443 \u043e\u043d\u0430 \u043d\u0435 \u043c\u043e\u0436\u0435\u0442 \u0438\u043c\u0435\u0442\u044c \u0440\u0430\u043d\u0433 4 \u0438 \u0434\u043e\u043b\u0436\u043d\u0430 \u0431\u044b\u0442\u044c \u043f\u043e \u043a\u0440\u0430\u0439\u043d\u0435\u0439 \u043c\u0435\u0440\u0435 \u0442\u043e\u0433\u043e \u0436\u0435 \u0440\u0430\u043d\u0433\u0430, \u0447\u0442\u043e \u0438 \u043c\u0430\u0442\u0440\u0438\u0446\u0430 A.<\/p>\n<\/p>\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> \u0420\u0430\u0437\u043c\u0435\u0440 \u043c\u0430\u0442\u0440\u0438\u0446\u044b \u0410 \u0440\u0430\u0432\u0435\u043d \u0440\u0430\u0437\u043c\u0435\u0440\u0443 \u043c\u0430\u0442\u0440\u0438\u0446\u044b \u0410&#8217; \u0438 \u0447\u0438\u0441\u043b\u0443 \u043d\u0435\u0438\u0437\u0432\u0435\u0441\u0442\u043d\u044b\u0445 \u0441\u0438\u0441\u0442\u0435\u043c\u044b (3), \u043f\u043e\u044d\u0442\u043e\u043c\u0443 \u043f\u043e <strong>\u0442\u0435\u043e\u0440\u0435\u043c\u0435 \u0420\u0443\u0448\u0435-\u0424\u0440\u043e\u0431\u0435\u043d\u0438\u0443\u0441\u0430<\/strong> \u043c\u044b \u0437\u043d\u0430\u0435\u043c, \u0447\u0442\u043e \u044d\u0442\u043e <strong>\u0434\u0435\u0442\u0435\u0440\u043c\u0438\u043d\u0438\u0440\u043e\u0432\u0430\u043d\u043d\u0430\u044f \u0441\u043e\u0432\u043c\u0435\u0441\u0442\u043d\u0430\u044f \u0441\u0438\u0441\u0442\u0435\u043c\u0430<\/strong> (\u0414\u0421\u041a):<\/p>\n<\/p>\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> \u041a\u0430\u043a \u0442\u043e\u043b\u044c\u043a\u043e \u043c\u044b \u0443\u0437\u043d\u0430\u0435\u043c, \u0447\u0442\u043e \u0441\u0438\u0441\u0442\u0435\u043c\u0430 \u043f\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u043b\u044f\u0435\u0442 \u0441\u043e\u0431\u043e\u0439 SCD, \u043c\u044b \u043f\u0440\u0438\u043c\u0435\u043d\u0438\u043c <strong>\u043f\u0440\u0430\u0432\u0438\u043b\u043e \u041a\u0440\u0430\u043c\u0435\u0440\u0430<\/strong> \u0434\u043b\u044f \u0435\u0435 \u0440\u0435\u0448\u0435\u043d\u0438\u044f. \u0414\u043b\u044f \u044d\u0442\u043e\u0433\u043e \u043d\u0430\u043f\u043e\u043c\u043d\u0438\u043c, \u0447\u0442\u043e \u043c\u0430\u0442\u0440\u0438\u0446\u0430 \u0410, \u0435\u0435 \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u0435\u043b\u044c \u0438 \u043c\u0430\u0442\u0440\u0438\u0446\u0430 \u0410&#8217; \u0440\u0430\u0432\u043d\u044b:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-31b2b3e5865c2264c360fb887d37a5f6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  A= \\left( \\begin{array}{ccc} 2 &amp; 1 &amp; 3 \\\\[1.1ex] 3 &amp; -2 &amp; -1 \\\\[1.1ex] 1 &amp; 3 &amp; 2\\end{array} \\right) \\qquad A'= \\left( \\begin{array}{ccc|c} 2 &amp; 1 &amp; 3 &amp; \\color{red}\\bm{1} \\\\[1.1ex] 3 &amp; -2 &amp; -1 &amp; \\color{red}\\bm{0} \\\\[1.1ex] 1 &amp; 3 &amp; 2 &amp; \\color{red}\\bm{5} \\end{array} \\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"85\" width=\"431\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-0a604d8f5a3927a47a264d28f7a007b2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\begin{vmatrix}A \\end{vmatrix}= \\begin{vmatrix} 2 &amp; 1 &amp; 3 \\\\[1.1ex] 3 &amp; -2 &amp; -1 \\\\[1.1ex] 1 &amp; 3 &amp; 2\\end{vmatrix} =24\" title=\"Rendered by QuickLaTeX.com\" height=\"86\" width=\"187\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> \u0427\u0442\u043e\u0431\u044b \u0432\u044b\u0447\u0438\u0441\u043b\u0438\u0442\u044c \u043d\u0435\u0438\u0437\u0432\u0435\u0441\u0442\u043d\u043e\u0435<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-757d0eed520b26d08cc3b8b397d0f980_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  x\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"10\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u041f\u043e \u043f\u0440\u0430\u0432\u0438\u043b\u0443 \u041a\u0440\u0430\u043c\u0435\u0440\u0430 \u043c\u044b \u043c\u0435\u043d\u044f\u0435\u043c \u043f\u0435\u0440\u0432\u044b\u0439 \u0441\u0442\u043e\u043b\u0431\u0435\u0446 \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u0435\u043b\u044f A \u043d\u0430 \u0441\u0442\u043e\u043b\u0431\u0435\u0446 \u043d\u0435\u0437\u0430\u0432\u0438\u0441\u0438\u043c\u044b\u0445 \u0447\u043b\u0435\u043d\u043e\u0432 \u0438 \u0434\u0435\u043b\u0438\u043c \u0435\u0433\u043e \u043d\u0430 \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u0435\u043b\u044c A:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a1fa494ffb5e452d59c4d2dad40f925a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\bm{x} = \\cfrac{\\begin{vmatrix} \\color{red}\\bm{1} &amp; 1 &amp; 3 \\\\[1.1ex] \\color{red}\\bm{0} &amp; -2 &amp; -1 \\\\[1.1ex] \\color{red}\\bm{5} &amp; 3 &amp; 2 \\end{vmatrix}}{\\begin{vmatrix} A \\end{vmatrix}} = \\cfrac{24}{24} = \\bm{1}\" title=\"Rendered by QuickLaTeX.com\" height=\"113\" width=\"238\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> \u0427\u0442\u043e\u0431\u044b \u0432\u044b\u0447\u0438\u0441\u043b\u0438\u0442\u044c \u043d\u0435\u0438\u0437\u0432\u0435\u0441\u0442\u043d\u043e\u0435<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-5fb4fb8b1addff607711094fd1ed326e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  y\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"9\" style=\"vertical-align: -4px;\"><\/p>\n<p> \u041f\u043e \u043f\u0440\u0430\u0432\u0438\u043b\u0443 \u041a\u0440\u0430\u043c\u0435\u0440\u0430 \u043c\u0435\u043d\u044f\u0435\u043c \u0432\u0442\u043e\u0440\u043e\u0439 \u0441\u0442\u043e\u043b\u0431\u0435\u0446 \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u0435\u043b\u044f \u0410 \u043d\u0430 \u0441\u0442\u043e\u043b\u0431\u0435\u0446 \u043d\u0435\u0437\u0430\u0432\u0438\u0441\u0438\u043c\u044b\u0445 \u0447\u043b\u0435\u043d\u043e\u0432 \u0438 \u0434\u0435\u043b\u0438\u043c \u0435\u0433\u043e \u043d\u0430 \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u0435\u043b\u044c \u0410:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-08e3dabe2f33434eb96658491f67c0b4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\bm{y} = \\cfrac{\\begin{vmatrix} 2 &amp; \\color{red}\\bm{1} &amp; 3 \\\\[1.1ex] 3 &amp;  \\color{red}\\bm{0} &amp; -1 \\\\[1.1ex] 1 &amp; \\color{red}\\bm{5} &amp; 2\\end{vmatrix}}{\\begin{vmatrix} A \\end{vmatrix}} = \\cfrac{48}{24} = \\bm{2}\" title=\"Rendered by QuickLaTeX.com\" height=\"113\" width=\"223\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> \u0420\u0430\u0441\u0441\u0447\u0438\u0442\u0430\u0442\u044c<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-23aa090e6102a41de5ad5515112e4d03_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  z\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"9\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u041f\u043e \u043f\u0440\u0430\u0432\u0438\u043b\u0443 \u041a\u0440\u0430\u043c\u0435\u0440\u0430 \u043c\u0435\u043d\u044f\u0435\u043c \u0442\u0440\u0435\u0442\u0438\u0439 \u0441\u0442\u043e\u043b\u0431\u0435\u0446 \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u0435\u043b\u044f \u0410 \u043d\u0430 \u0441\u0442\u043e\u043b\u0431\u0435\u0446 \u043d\u0435\u0437\u0430\u0432\u0438\u0441\u0438\u043c\u044b\u0445 \u0447\u043b\u0435\u043d\u043e\u0432 \u0438 \u0434\u0435\u043b\u0438\u043c \u0435\u0433\u043e \u043d\u0430 \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u0435\u043b\u044c \u0410:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-96e76cb8867224755e9c19254678abd4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\bm{z} = \\cfrac{\\begin{vmatrix} 2 &amp; 1 &amp; \\color{red}\\bm{1} \\\\[1.1ex] 3 &amp; -2 &amp;  \\color{red}\\bm{0} \\\\[1.1ex] 1 &amp; 3 &amp;  \\color{red}\\bm{5}\\end{vmatrix}}{\\begin{vmatrix} A \\end{vmatrix}} = \\cfrac{-24}{24} = \\bm{-1}\" title=\"Rendered by QuickLaTeX.com\" height=\"113\" width=\"259\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> \u0422\u0430\u043a\u0438\u043c \u043e\u0431\u0440\u0430\u0437\u043e\u043c, \u0440\u0435\u0448\u0435\u043d\u0438\u0435 \u0441\u0438\u0441\u0442\u0435\u043c\u044b \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0439 \u0438\u043c\u0435\u0435\u0442 \u0432\u0438\u0434:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-be5a19fed42dcb59880c2d0eee8e51f4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\bm{x = 1 \\qquad y=2 \\qquad z = -1}\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"210\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"> \u041f\u0440\u0438\u043c\u0435\u0440 2: \u041d\u0435\u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u043d\u043e \u0441\u043e\u0432\u043c\u0435\u0441\u0442\u0438\u043c\u0430\u044f \u0441\u0438\u0441\u0442\u0435\u043c\u0430 (ICS)<\/h2>\n<ul>\n<li> \u0420\u0435\u0448\u0438\u0442\u0435 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0443\u044e \u0441\u0438\u0441\u0442\u0435\u043c\u0443 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0439, \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u0443\u044f \u043f\u0440\u0430\u0432\u0438\u043b\u043e \u041a\u0440\u0430\u043c\u0435\u0440\u0430:<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-781530aac4d8507fd6c7cbd77c3b4651_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{cases} 3x+2y+4z=1 \\\\[1.5ex] -2x+3y-z=0 \\\\[1.5ex] x+5y+3z = 1 \\end{cases}\" title=\"Rendered by QuickLaTeX.com\" height=\"97\" width=\"149\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> \u0421\u043d\u0430\u0447\u0430\u043b\u0430 \u043c\u044b \u0441\u043e\u0437\u0434\u0430\u0435\u043c \u043c\u0430\u0442\u0440\u0438\u0446\u0443 A \u0438 \u0440\u0430\u0441\u0448\u0438\u0440\u0435\u043d\u043d\u0443\u044e \u043c\u0430\u0442\u0440\u0438\u0446\u0443 A&#8217; \u0441\u0438\u0441\u0442\u0435\u043c\u044b:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a64800a78bf8e2e2f547be907e6863cb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  A= \\left( \\begin{array}{ccc} 3 &amp; 2 &amp; 4 \\\\[1.1ex] -2 &amp; 3 &amp; -1 \\\\[1.1ex] 1 &amp; 5 &amp; 3 \\end{array} \\right) \\qquad A'= \\left( \\begin{array}{ccc|c} 3 &amp; 2 &amp; 4 &amp; 1 \\\\[1.1ex] -2 &amp; 3 &amp; -1 &amp; 0 \\\\[1.1ex] 1 &amp; 5 &amp; 3 &amp; 1 \\end{array} \\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"85\" width=\"405\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> \u0422\u0435\u043f\u0435\u0440\u044c \u043c\u044b \u0432\u044b\u0447\u0438\u0441\u043b\u044f\u0435\u043c \u0434\u0438\u0430\u043f\u0430\u0437\u043e\u043d \u0434\u0432\u0443\u0445 \u043c\u0430\u0442\u0440\u0438\u0446 \u0438, \u0442\u0430\u043a\u0438\u043c \u043e\u0431\u0440\u0430\u0437\u043e\u043c, \u043c\u043e\u0436\u0435\u043c \u0443\u0432\u0438\u0434\u0435\u0442\u044c, \u0447\u0442\u043e \u044d\u0442\u043e \u0437\u0430 \u0441\u0438\u0441\u0442\u0435\u043c\u0430. \u0427\u0442\u043e\u0431\u044b \u0432\u044b\u0447\u0438\u0441\u043b\u0438\u0442\u044c \u0440\u0430\u043d\u0433 A, \u043c\u044b \u0432\u044b\u0447\u0438\u0441\u043b\u044f\u0435\u043c \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u0435\u043b\u044c \u0432\u0441\u0435\u0439 \u043c\u0430\u0442\u0440\u0438\u0446\u044b (\u0438\u0441\u043f\u043e\u043b\u044c\u0437\u0443\u044f \u043f\u0440\u0430\u0432\u0438\u043b\u043e \u0421\u0430\u0440\u0440\u0443\u0441\u0430) \u0438 \u043f\u0440\u043e\u0432\u0435\u0440\u044f\u0435\u043c, \u0440\u0430\u0432\u0435\u043d \u043b\u0438 \u043e\u043d 0:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-581c58cbe0fdd9952e7e25b919ecc33b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\begin{vmatrix}A \\end{vmatrix}= \\begin{vmatrix} 3 &amp; 2 &amp; 4 \\\\[1.1ex] -2 &amp; 3 &amp; -1 \\\\[1.1ex] 1 &amp; 5 &amp; 3\\end{vmatrix} = 27-2-40-12+15+12= 0\" title=\"Rendered by QuickLaTeX.com\" height=\"86\" width=\"407\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> \u041e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u0435\u043b\u044c \u0434\u0430\u0435\u0442 0, \u043f\u043e\u044d\u0442\u043e\u043c\u0443 \u043c\u0430\u0442\u0440\u0438\u0446\u0430 A \u043d\u0435 \u0438\u043c\u0435\u0435\u0442 \u0440\u0430\u043d\u0433\u0430 3. \u041d\u043e \u0443 \u043d\u0435\u0435 \u0435\u0441\u0442\u044c \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u0435\u043b\u044c 2 \u00d7 2, \u043e\u0442\u043b\u0438\u0447\u043d\u044b\u0439 \u043e\u0442 0:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a5d1acad8bc31240f80d8cfbf3605997_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\begin{vmatrix} 3 &amp; 2 \\\\[1.1ex] -2 &amp; 3 \\end{vmatrix} =9-(-4)=13\\neq 0\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"222\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> \u0418\u0442\u0430\u043a, <strong>\u043c\u0430\u0442\u0440\u0438\u0446\u0430 A \u0438\u043c\u0435\u0435\u0442 \u0440\u0430\u043d\u0433 2<\/strong> :<\/p>\n<\/p>\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> \u041a\u0430\u043a \u0442\u043e\u043b\u044c\u043a\u043e \u043c\u044b \u0443\u0437\u043d\u0430\u0435\u043c \u0440\u0430\u0437\u043c\u0435\u0440 \u043c\u0430\u0442\u0440\u0438\u0446\u044b A, \u043c\u044b \u0432\u044b\u0447\u0438\u0441\u043b\u044f\u0435\u043c \u0440\u0430\u0437\u043c\u0435\u0440 \u043c\u0430\u0442\u0440\u0438\u0446\u044b A&#8217;. \u041e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u0435\u043b\u044c \u043f\u0435\u0440\u0432\u044b\u0445 \u0442\u0440\u0435\u0445 \u0441\u0442\u043e\u043b\u0431\u0446\u043e\u0432 \u0434\u0430\u0435\u0442 0, \u043f\u043e\u044d\u0442\u043e\u043c\u0443 \u043c\u044b \u043f\u0440\u043e\u0431\u0443\u0435\u043c \u0434\u0440\u0443\u0433\u0438\u0435 \u0432\u043e\u0437\u043c\u043e\u0436\u043d\u044b\u0435 \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u0435\u043b\u0438 3\u00d73 \u0432 \u043c\u0430\u0442\u0440\u0438\u0446\u0435 A&#8217;:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-686e7ca635ecee685005f6013c2e64ad_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\begin{vmatrix} 2 &amp; 4 &amp; 1 \\\\[1.1ex] 3 &amp; -1 &amp; 0 \\\\[1.1ex] 5 &amp; 3 &amp; 1 \\end{vmatrix} = 0 \\qquad \\begin{vmatrix} 3 &amp; 4 &amp; 1 \\\\[1.1ex] -2 &amp; -1 &amp; 0 \\\\[1.1ex] 1 &amp; 3 &amp; 1 \\end{vmatrix} = 0 \\qquad \\begin{vmatrix} 3 &amp; 2 &amp; 1 \\\\[1.1ex] -2 &amp; 3 &amp; 0 \\\\[1.1ex] 1 &amp; 5 &amp; 1 \\end{vmatrix} = 0\" title=\"Rendered by QuickLaTeX.com\" height=\"86\" width=\"440\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> \u0412\u0441\u0435 \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u0435\u043b\u0438 \u043f\u043e\u0440\u044f\u0434\u043a\u0430 3 \u0434\u0430\u044e\u0442 0. \u041d\u043e, \u043e\u0447\u0435\u0432\u0438\u0434\u043d\u043e, \u043c\u0430\u0442\u0440\u0438\u0446\u0430 A&#8217; \u0438\u043c\u0435\u0435\u0442 \u0442\u043e\u0442 \u0436\u0435 \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u0435\u043b\u044c, \u043e\u0442\u043b\u0438\u0447\u043d\u044b\u0439 \u043e\u0442 0 2\u00d72, \u0447\u0442\u043e \u0438 \u043c\u0430\u0442\u0440\u0438\u0446\u0430 A:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a5d1acad8bc31240f80d8cfbf3605997_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\begin{vmatrix} 3 &amp; 2 \\\\[1.1ex] -2 &amp; 3 \\end{vmatrix} =9-(-4)=13\\neq 0\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"222\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> \u0421\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u043e, <strong>\u043c\u0430\u0442\u0440\u0438\u0446\u0430 A&#8217; \u0442\u0430\u043a\u0436\u0435 \u0438\u043c\u0435\u0435\u0442 \u0440\u0430\u043d\u0433 2<\/strong> :<\/p>\n<\/p>\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> \u0418\u0442\u0430\u043a, \u043f\u043e\u0441\u043a\u043e\u043b\u044c\u043a\u0443 \u0440\u0430\u043d\u0433 \u043c\u0430\u0442\u0440\u0438\u0446\u044b A \u0440\u0430\u0432\u0435\u043d \u0440\u0430\u043d\u0433\u0443 \u043c\u0430\u0442\u0440\u0438\u0446\u044b A&#8217;, \u043d\u043e \u044d\u0442\u0438 \u0434\u0432\u0430 \u043c\u0435\u043d\u044c\u0448\u0435 \u0447\u0438\u0441\u043b\u0430 \u043d\u0435\u0438\u0437\u0432\u0435\u0441\u0442\u043d\u044b\u0445 \u0441\u0438\u0441\u0442\u0435\u043c\u044b (3), \u043c\u044b \u0437\u043d\u0430\u0435\u043c \u043f\u043e <strong>\u0442\u0435\u043e\u0440\u0435\u043c\u0435 \u0420\u0443\u0448\u0435-\u0424\u0440\u043e\u0431\u0435\u043d\u0438\u0443\u0441\u0430<\/strong> , \u0447\u0442\u043e \u044d\u0442\u043e <strong>\u043d\u0435\u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u043d\u043e \u0441\u043e\u0432\u043c\u0435\u0441\u0442\u0438\u043c\u0430\u044f \u0441\u0438\u0441\u0442\u0435\u043c\u0430.<\/strong> (\u0418\u041a\u0421):<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-96868a2569ea0ab5ca99d8dc606d3dc9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\begin{array}{c} \\begin{array}{c} \\color{black}rg(A) = 2 \\\\[1.3ex] \\color{black}rg(A')=2 \\\\[1.3ex] \\color{black}\\text{N\\'umero de inc\\'ognitas} = 3    \\end{array}} \\\\ \\\\  \\color{blue} \\boxed{ \\color{black}\\phantom{^9_9} rg(A) = rg(A') = 2 \\ < \\ n =3  \\color{blue} \\ \\bm{\\longrightarrow} \\ \\color{black} \\bm{SCI}\\phantom{^9_9}} \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"138\" width=\"475\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-background\" style=\"background-color:#dff6ff\"> \u041a\u043e\u0433\u0434\u0430 \u043c\u044b \u0445\u043e\u0442\u0438\u043c \u0440\u0435\u0448\u0438\u0442\u044c \u0441\u043e\u0432\u043c\u0435\u0441\u0442\u0438\u043c\u0443\u044e \u043d\u0435\u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u043d\u0443\u044e \u0441\u0438\u0441\u0442\u0435\u043c\u0443 (SCI), \u043d\u0430\u043c \u043d\u0443\u0436\u043d\u043e <strong>\u043f\u0440\u0435\u043e\u0431\u0440\u0430\u0437\u043e\u0432\u0430\u0442\u044c \u0441\u0438\u0441\u0442\u0435\u043c\u0443<\/strong> : \u0441\u043d\u0430\u0447\u0430\u043b\u0430 \u043c\u044b \u0438\u0441\u043a\u043b\u044e\u0447\u0430\u0435\u043c \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435, \u0437\u0430\u0442\u0435\u043c \u043f\u0440\u0435\u043e\u0431\u0440\u0430\u0437\u0443\u0435\u043c \u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u0443\u044e \u0432 \u03bb (\u043e\u0431\u044b\u0447\u043d\u043e \u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u0443\u044e z) \u0438, \u043d\u0430\u043a\u043e\u043d\u0435\u0446, \u043f\u043e\u043c\u0435\u0449\u0430\u0435\u043c \u0447\u043b\u0435\u043d\u044b \u0441 \u03bb \u0432\u043c\u0435\u0441\u0442\u0435 \u0441 \u043d\u0435\u0437\u0430\u0432\u0438\u0441\u0438\u043c\u044b\u0435 \u0442\u0435\u0440\u043c\u0438\u043d\u044b.<\/p>\n<p> \u041f\u043e\u0441\u043b\u0435 \u0442\u043e\u0433\u043e, \u043a\u0430\u043a \u043c\u044b \u043f\u0440\u0435\u043e\u0431\u0440\u0430\u0437\u043e\u0432\u0430\u043b\u0438 \u0441\u0438\u0441\u0442\u0435\u043c\u0443, \u043c\u044b \u043f\u0440\u0438\u043c\u0435\u043d\u0438\u043c \u043f\u0440\u0430\u0432\u0438\u043b\u043e \u041a\u0440\u0430\u043c\u0435\u0440\u0430 \u0438 \u043f\u043e\u043b\u0443\u0447\u0438\u043c \u0440\u0435\u0448\u0435\u043d\u0438\u0435 \u0441\u0438\u0441\u0442\u0435\u043c\u044b \u043a\u0430\u043a \u0444\u0443\u043d\u043a\u0446\u0438\u044e \u03bb.<\/p>\n<p> \u0412 \u044d\u0442\u043e\u043c \u0441\u043b\u0443\u0447\u0430\u0435 <strong>\u0438\u0441\u043a\u043b\u044e\u0447\u0438\u043c \u0438\u0437 \u0441\u0438\u0441\u0442\u0435\u043c\u044b \u043f\u043e\u0441\u043b\u0435\u0434\u043d\u0435\u0435 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435<\/strong> :<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f0511fecc9c2af695b6b8eccae6b0661_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{cases} 3x+2y+4z=1 \\\\[1.5ex] -2x+3y-z=0 \\\\[1.5ex]\\cancel{x+5y+3z = 1} \\end{cases} \\longrightarrow \\quad \\begin{cases} 3x+2y+4z=1 \\\\[1.5ex] -2x+3y-z=0\\end{cases}\" title=\"Rendered by QuickLaTeX.com\" height=\"97\" width=\"377\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> <strong>\u0422\u0435\u043f\u0435\u0440\u044c \u043f\u0440\u0435\u043e\u0431\u0440\u0430\u0437\u0443\u0435\u043c \u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u0443\u044e z \u0432 \u03bb:<\/strong><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-2d6142d2be611954fd849a032a97245a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{cases} 3x+2y+4z=1 \\\\[1.5ex] -2x+3y-z=0  \\end{cases} \\xrightarrow{z \\ = \\ \\lambda}\\quad \\begin{cases} 3x+2y+4\\lambda=1 \\\\[1.5ex] -2x+3y-\\lambda=0\\end{cases}\" title=\"Rendered by QuickLaTeX.com\" height=\"65\" width=\"398\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> \u0418 <strong>\u0447\u043b\u0435\u043d\u044b \u0441 \u03bb \u0441\u0442\u0430\u0432\u0438\u043c \u0441 \u043d\u0435\u0437\u0430\u0432\u0438\u0441\u0438\u043c\u044b\u043c\u0438 \u0447\u043b\u0435\u043d\u0430\u043c\u0438:<\/strong><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-00214205f2334f1c9bc10810c1c1df83_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{cases} 3x+2y=1-4\\lambda \\\\[1.5ex] -2x+3y=\\lambda \\end{cases}\" title=\"Rendered by QuickLaTeX.com\" height=\"65\" width=\"145\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<div class=\"adsb30\" style=\" margin:px; text-align:\"><\/div>\n<p> \u0421\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u043e, \u043c\u0430\u0442\u0440\u0438\u0446\u0430 A \u0438 \u043c\u0430\u0442\u0440\u0438\u0446\u0430 A&#8217; \u0441\u0438\u0441\u0442\u0435\u043c\u044b \u043e\u0441\u0442\u0430\u044e\u0442\u0441\u044f:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-9c4b47303973b823a1c5628f5448ca79_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  A= \\left( \\begin{array}{ccc} 3 &amp; 2  \\\\[1.1ex] -2 &amp; 3 \\end{array} \\right) \\qquad A'= \\left( \\begin{array}{cc|c} 3 &amp; 2 &amp; 1 -4\\lambda \\\\[1.1ex] -2 &amp; 3 &amp; \\lambda \\end{array} \\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"363\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> \u041d\u0430\u043a\u043e\u043d\u0435\u0446, \u043f\u0440\u0435\u043e\u0431\u0440\u0430\u0437\u043e\u0432\u0430\u0432 \u0441\u0438\u0441\u0442\u0435\u043c\u0443, <strong>\u043c\u044b \u043f\u0440\u0438\u043c\u0435\u043d\u044f\u0435\u043c \u043f\u0440\u0430\u0432\u0438\u043b\u043e \u041a\u0440\u0430\u043c\u0435\u0440\u0430<\/strong> . \u041f\u043e\u044d\u0442\u043e\u043c\u0443 \u0440\u0435\u0448\u0430\u0435\u043c \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u0435\u043b\u044c A:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-d1b79f52dc82f5cfc311867273e78c06_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\begin{vmatrix}A \\end{vmatrix}= \\begin{vmatrix} 3 &amp; 2  \\\\[1.1ex] -2 &amp; 3\\end{vmatrix} = 13\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"148\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> \u0427\u0442\u043e\u0431\u044b \u0432\u044b\u0447\u0438\u0441\u043b\u0438\u0442\u044c \u043d\u0435\u0438\u0437\u0432\u0435\u0441\u0442\u043d\u043e\u0435<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-757d0eed520b26d08cc3b8b397d0f980_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  x\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"10\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u041f\u043e \u043f\u0440\u0430\u0432\u0438\u043b\u0443 \u041a\u0440\u0430\u043c\u0435\u0440\u0430 \u043c\u044b \u043c\u0435\u043d\u044f\u0435\u043c \u043f\u0435\u0440\u0432\u044b\u0439 \u0441\u0442\u043e\u043b\u0431\u0435\u0446 \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u0435\u043b\u044f A \u043d\u0430 \u0441\u0442\u043e\u043b\u0431\u0435\u0446 \u043d\u0435\u0437\u0430\u0432\u0438\u0441\u0438\u043c\u044b\u0445 \u0447\u043b\u0435\u043d\u043e\u0432 \u0438 \u0434\u0435\u043b\u0438\u043c \u0435\u0433\u043e \u043d\u0430 \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u0435\u043b\u044c A:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-0ff917eaea976c65bd18e0476078d3cb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\bm{x} = \\cfrac{\\begin{vmatrix} 1 -4\\lambda &amp; 2  \\\\[1.1ex] \\lambda &amp; 3 \\end{vmatrix}}{\\begin{vmatrix} A \\end{vmatrix}} = \\cfrac{3(1-4\\lambda) -2\\lambda}{13} = \\cfrac{\\bm{3-14\\lambda} }{\\bm{13}}\" title=\"Rendered by QuickLaTeX.com\" height=\"81\" width=\"349\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> \u0427\u0442\u043e\u0431\u044b \u0432\u044b\u0447\u0438\u0441\u043b\u0438\u0442\u044c \u043d\u0435\u0438\u0437\u0432\u0435\u0441\u0442\u043d\u043e\u0435<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-5fb4fb8b1addff607711094fd1ed326e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  y\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"9\" style=\"vertical-align: -4px;\"><\/p>\n<p> \u041f\u043e \u043f\u0440\u0430\u0432\u0438\u043b\u0443 \u041a\u0440\u0430\u043c\u0435\u0440\u0430 \u043c\u0435\u043d\u044f\u0435\u043c \u0432\u0442\u043e\u0440\u043e\u0439 \u0441\u0442\u043e\u043b\u0431\u0435\u0446 \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u0435\u043b\u044f \u0410 \u043d\u0430 \u0441\u0442\u043e\u043b\u0431\u0435\u0446 \u043d\u0435\u0437\u0430\u0432\u0438\u0441\u0438\u043c\u044b\u0445 \u0447\u043b\u0435\u043d\u043e\u0432 \u0438 \u0434\u0435\u043b\u0438\u043c \u0435\u0433\u043e \u043d\u0430 \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u0435\u043b\u044c \u0410:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-155ca520739bbf7e040a6cdc632f7c27_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\bm{y} = \\cfrac{\\begin{vmatrix} 3 &amp; 1 -4\\lambda  \\\\[1.1ex]-2&amp;  \\lambda  \\end{vmatrix}}{\\begin{vmatrix} A \\end{vmatrix}} = \\cfrac{3\\lambda -\\bigl(-2(1-4\\lambda)\\bigr)}{13}= \\cfrac{3\\lambda -\\bigl(-2+8\\lambda\\bigr)}{13} = \\cfrac{\\bm{2-5\\lambda} }{\\bm{13}}\" title=\"Rendered by QuickLaTeX.com\" height=\"81\" width=\"529\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> \u0410 \u0440\u0435\u0448\u0435\u043d\u0438\u0435 \u0441\u0438\u0441\u0442\u0435\u043c\u044b \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0439 \u044f\u0432\u043b\u044f\u0435\u0442\u0441\u044f \u0444\u0443\u043d\u043a\u0446\u0438\u0435\u0439 \u043e\u0442 \u03bb, \u043f\u043e\u0441\u043a\u043e\u043b\u044c\u043a\u0443 \u043e\u043d\u0430 \u044f\u0432\u043b\u044f\u0435\u0442\u0441\u044f \u0421\u041a\u0418 \u0438, \u0441\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u043e, \u0438\u043c\u0435\u0435\u0442 \u0431\u0435\u0441\u043a\u043e\u043d\u0435\u0447\u043d\u043e \u043c\u043d\u043e\u0433\u043e \u0440\u0435\u0448\u0435\u043d\u0438\u0439:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-c9866e045041eb2d8fe103db2309f229_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\bm{x =} \\cfrac{\\bm{3-14\\lambda} }{\\bm{13}} \\qquad \\bm{y=}\\cfrac{\\bm{2-5\\lambda} }{\\bm{13}} \\qquad \\bm{z = \\lambda}\" title=\"Rendered by QuickLaTeX.com\" height=\"39\" width=\"283\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"> \u041f\u0440\u0430\u0432\u0438\u043b\u043e \u041a\u0440\u0430\u043c\u0435\u0440\u0430 \u0440\u0435\u0448\u0430\u043b\u043e \u043f\u0440\u043e\u0431\u043b\u0435\u043c\u044b <\/h2>\n<div class=\"adsb30\" style=\" margin:12px; text-align:center\">\n<div id=\"ezoic-pub-ad-placeholder-118\"><\/div>\n<\/div>\n<h3 class=\"wp-block-heading\"> \u0423\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u0435 1<\/h3>\n<p> \u041f\u0440\u0438\u043c\u0435\u043d\u0438\u0442\u0435 \u043f\u0440\u0430\u0432\u0438\u043b\u043e \u041a\u0440\u0430\u043c\u0435\u0440\u0430 \u0434\u043b\u044f \u0440\u0435\u0448\u0435\u043d\u0438\u044f \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0435\u0439 \u0441\u0438\u0441\u0442\u0435\u043c\u044b \u0434\u0432\u0443\u0445 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0439 \u0441 \u0434\u0432\u0443\u043c\u044f \u043d\u0435\u0438\u0437\u0432\u0435\u0441\u0442\u043d\u044b\u043c\u0438: <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/exercice-resolu-pas-a-pas-de-la-regle-de-cramer-22.webp\" alt=\"\u0423\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u0435 \u0440\u0435\u0448\u0430\u0435\u0442\u0441\u044f \u0448\u0430\u0433 \u0437\u0430 \u0448\u0430\u0433\u043e\u043c \u0441 \u043f\u043e\u043c\u043e\u0449\u044c\u044e \u043f\u0440\u0430\u0432\u0438\u043b\u0430 \u041a\u0440\u0430\u043c\u0435\u0440\u0430 2\u04452.\" class=\"wp-image-3999\" width=\"137\" height=\"83\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E3F2FD boto_ver_solucion\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E3F2FD\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"> <strong>\u043f\u043e\u0441\u043c\u043e\u0442\u0440\u0435\u0442\u044c \u0440\u0435\u0448\u0435\u043d\u0438\u0435<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\"> \u041f\u0435\u0440\u0432\u043e\u0435, \u0447\u0442\u043e \u043d\u0443\u0436\u043d\u043e \u0441\u0434\u0435\u043b\u0430\u0442\u044c, \u044d\u0442\u043e \u043c\u0430\u0442\u0440\u0438\u0446\u0430 A \u0438 \u0440\u0430\u0441\u0448\u0438\u0440\u0435\u043d\u043d\u0430\u044f \u043c\u0430\u0442\u0440\u0438\u0446\u0430 A&#8217; \u0441\u0438\u0441\u0442\u0435\u043c\u044b:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-2a001db9cf56846150730fee7126dacd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  A= \\left( \\begin{array}{cc} 2 &amp; 5 \\\\[1.1ex] 1 &amp; 4 \\end{array} \\right) \\qquad A'= \\left( \\begin{array}{cc|c} 2 &amp; 5 &amp; 8 \\\\[1.1ex] 1 &amp; 4 &amp; 7 \\end{array}\\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"294\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0422\u0435\u043f\u0435\u0440\u044c \u043c\u044b \u0434\u043e\u043b\u0436\u043d\u044b \u043d\u0430\u0439\u0442\u0438 \u0440\u0430\u043d\u0433 \u043c\u0430\u0442\u0440\u0438\u0446\u044b \u0410. \u0414\u043b\u044f \u044d\u0442\u043e\u0433\u043e \u043f\u0440\u043e\u0432\u0435\u0440\u044f\u0435\u043c, \u043e\u0442\u043b\u0438\u0447\u0435\u043d \u043b\u0438 \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u0435\u043b\u044c \u0432\u0441\u0435\u0439 \u043c\u0430\u0442\u0440\u0438\u0446\u044b \u043e\u0442 0:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-0c75c1c344c286016bea83237f1f418e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\begin{vmatrix}A \\end{vmatrix}= \\begin{vmatrix} 2 &amp; 5 \\\\[1.1ex] 1 &amp; 4 \\end{vmatrix} = 8-5=3 \\bm{\\neq 0}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"216\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u041f\u043e\u0441\u043a\u043e\u043b\u044c\u043a\u0443 \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u0435\u043b\u044c \u043c\u0430\u0442\u0440\u0438\u0446\u044b 2\u00d72 \u043e\u0442\u043b\u0438\u0447\u0430\u0435\u0442\u0441\u044f \u043e\u0442 0, <strong>\u043c\u0430\u0442\u0440\u0438\u0446\u0430 A \u0438\u043c\u0435\u0435\u0442 \u0440\u0430\u043d\u0433 2:<\/strong><\/p>\n<\/p>\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\"> \u0417\u043d\u0430\u044f \u0440\u0430\u043d\u0433 A, \u043c\u044b \u0432\u044b\u0447\u0438\u0441\u043b\u044f\u0435\u043c \u0440\u0430\u043d\u0433 A&#8217;. \u042d\u0442\u043e \u0431\u0443\u0434\u0435\u0442 \u043a\u0430\u043a \u043c\u0438\u043d\u0438\u043c\u0443\u043c \u0440\u0430\u043d\u0433\u0430 2, \u043f\u043e\u0442\u043e\u043c\u0443 \u0447\u0442\u043e \u043c\u044b \u0442\u043e\u043b\u044c\u043a\u043e \u0447\u0442\u043e \u0432\u0438\u0434\u0435\u043b\u0438, \u0447\u0442\u043e \u0432\u043d\u0443\u0442\u0440\u0438 \u043d\u0435\u0433\u043e \u0435\u0441\u0442\u044c \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u0435\u043b\u044c \u043f\u043e\u0440\u044f\u0434\u043a\u0430 2, \u043e\u0442\u043b\u0438\u0447\u043d\u043e\u0433\u043e \u043e\u0442 0. \u0411\u043e\u043b\u0435\u0435 \u0442\u043e\u0433\u043e, \u043e\u043d \u043d\u0435 \u043c\u043e\u0436\u0435\u0442 \u0438\u043c\u0435\u0442\u044c \u0440\u0430\u043d\u0433\u0430 3, \u043f\u043e\u0441\u043a\u043e\u043b\u044c\u043a\u0443 \u043c\u044b \u043d\u0435 \u043c\u043e\u0436\u0435\u043c \u043d\u0435 \u0441\u043e\u0437\u0434\u0430\u0442\u044c \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u0435\u043b\u044c 3\u00d73. \u0421\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u043e, <strong>\u043c\u0430\u0442\u0440\u0438\u0446\u0430 A&#8217; \u0442\u0430\u043a\u0436\u0435 \u0438\u043c\u0435\u0435\u0442 \u0440\u0430\u043d\u0433 2:<\/strong><\/p>\n<\/p>\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\"> \u0421\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u043e, \u043f\u0440\u0438\u043c\u0435\u043d\u044f\u044f <strong>\u0442\u0435\u043e\u0440\u0435\u043c\u0443 \u0420\u0443\u0448\u0435-\u0424\u0440\u043e\u0431\u0435\u043d\u0438\u0443\u0441\u0430,<\/strong> \u043c\u044b \u0437\u043d\u0430\u0435\u043c, \u0447\u0442\u043e \u044d\u0442\u043e <strong>\u0441\u043e\u0432\u043c\u0435\u0441\u0442\u0438\u043c\u0430\u044f \u0434\u0435\u0442\u0435\u0440\u043c\u0438\u043d\u0438\u0440\u043e\u0432\u0430\u043d\u043d\u0430\u044f \u0441\u0438\u0441\u0442\u0435\u043c\u0430<\/strong> (SCD), \u043f\u043e\u0441\u043a\u043e\u043b\u044c\u043a\u0443 \u0434\u0438\u0430\u043f\u0430\u0437\u043e\u043d A \u0440\u0430\u0432\u0435\u043d \u0434\u0438\u0430\u043f\u0430\u0437\u043e\u043d\u0443 A&#8217; \u0438 \u0447\u0438\u0441\u043b\u0443 \u043d\u0435\u0438\u0437\u0432\u0435\u0441\u0442\u043d\u044b\u0445.<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-bbd67b16bb6d52a0696e70a77833cd3b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\begin{array}{c} \\begin{array}{c} \\color{black}rg(A) = 2 \\\\[1.3ex] \\color{black}rg(A')=2 \\\\[1.3ex] \\color{black}\\text{N\\'umero de inc\\'ognitas} = 2 \\end{array}} \\\\ \\\\ \\color{blue} \\boxed{ \\color{black}\\phantom{^9_9} rg(A) = rg(A') = n = 2 \\color{blue} \\ \\bm{\\longrightarrow} \\ \\color{black} \\bm{SCD}\\phantom{^9_9}} \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"138\" width=\"436\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u041a\u0430\u043a \u0442\u043e\u043b\u044c\u043a\u043e \u043c\u044b \u0443\u0437\u043d\u0430\u0435\u043c, \u0447\u0442\u043e \u0441\u0438\u0441\u0442\u0435\u043c\u0430 \u043f\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u043b\u044f\u0435\u0442 \u0441\u043e\u0431\u043e\u0439 SCD, \u043c\u044b \u043f\u0440\u0438\u043c\u0435\u043d\u0438\u043c <strong>\u043f\u0440\u0430\u0432\u0438\u043b\u043e \u041a\u0440\u0430\u043c\u0435\u0440\u0430<\/strong> \u0434\u043b\u044f \u0435\u0435 \u0440\u0435\u0448\u0435\u043d\u0438\u044f.<\/p>\n<p class=\"has-text-align-left\"> \u0427\u0442\u043e\u0431\u044b \u0432\u044b\u0447\u0438\u0441\u043b\u0438\u0442\u044c \u043d\u0435\u0438\u0437\u0432\u0435\u0441\u0442\u043d\u043e\u0435<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-757d0eed520b26d08cc3b8b397d0f980_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  x\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"10\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u041f\u043e \u043f\u0440\u0430\u0432\u0438\u043b\u0443 \u041a\u0440\u0430\u043c\u0435\u0440\u0430 \u043c\u044b \u043c\u0435\u043d\u044f\u0435\u043c \u043f\u0435\u0440\u0432\u044b\u0439 \u0441\u0442\u043e\u043b\u0431\u0435\u0446 \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u0435\u043b\u044f A \u043d\u0430 \u0441\u0442\u043e\u043b\u0431\u0435\u0446 \u043d\u0435\u0437\u0430\u0432\u0438\u0441\u0438\u043c\u044b\u0445 \u0447\u043b\u0435\u043d\u043e\u0432 \u0438 \u0434\u0435\u043b\u0438\u043c \u0435\u0433\u043e \u043d\u0430 \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u0435\u043b\u044c A:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-b0adeda8f2ce557661466996038b1148_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\bm{x} = \\cfrac{\\begin{vmatrix} 8 &amp; 5 \\\\[1.1ex] 7 &amp; 4\\end{vmatrix}}{\\begin{vmatrix} A \\end{vmatrix}} = \\cfrac{-3}{3} = \\bm{-1}\" title=\"Rendered by QuickLaTeX.com\" height=\"81\" width=\"186\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0427\u0442\u043e\u0431\u044b \u0432\u044b\u0447\u0438\u0441\u043b\u0438\u0442\u044c \u043d\u0435\u0438\u0437\u0432\u0435\u0441\u0442\u043d\u043e\u0435<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-5fb4fb8b1addff607711094fd1ed326e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  y\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"9\" style=\"vertical-align: -4px;\"><\/p>\n<p> \u041f\u043e \u043f\u0440\u0430\u0432\u0438\u043b\u0443 \u041a\u0440\u0430\u043c\u0435\u0440\u0430 \u043c\u0435\u043d\u044f\u0435\u043c \u0432\u0442\u043e\u0440\u043e\u0439 \u0441\u0442\u043e\u043b\u0431\u0435\u0446 \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u0435\u043b\u044f \u0410 \u043d\u0430 \u0441\u0442\u043e\u043b\u0431\u0435\u0446 \u043d\u0435\u0437\u0430\u0432\u0438\u0441\u0438\u043c\u044b\u0445 \u0447\u043b\u0435\u043d\u043e\u0432 \u0438 \u0434\u0435\u043b\u0438\u043c \u0435\u0433\u043e \u043d\u0430 \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u0435\u043b\u044c \u0410:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-59790a66cc31fac07be1d5a7bb556d9e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\bm{y} = \\cfrac{\\begin{vmatrix}2 &amp; 8 \\\\[1.1ex] 1 &amp; 7\\end{vmatrix}}{\\begin{vmatrix} A \\end{vmatrix}} = \\cfrac{6}{3} = \\bm{2}\" title=\"Rendered by QuickLaTeX.com\" height=\"81\" width=\"150\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0422\u0430\u043a\u0438\u043c \u043e\u0431\u0440\u0430\u0437\u043e\u043c, \u0440\u0435\u0448\u0435\u043d\u0438\u0435 \u0441\u0438\u0441\u0442\u0435\u043c\u044b \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0439 \u0438\u043c\u0435\u0435\u0442 \u0432\u0438\u0434: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-26fa7c9ed2d05ca07ff62a968ba7ab11_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\bm{x = -1 \\qquad y=2}\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"133\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\">\u0423\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u0435 2<\/h3>\n<p> \u041d\u0430\u0439\u0434\u0438\u0442\u0435 \u0440\u0435\u0448\u0435\u043d\u0438\u0435 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0435\u0439 \u0441\u0438\u0441\u0442\u0435\u043c\u044b \u0442\u0440\u0435\u0445 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0439 \u0441 \u0442\u0440\u0435\u043c\u044f \u043d\u0435\u0438\u0437\u0432\u0435\u0441\u0442\u043d\u044b\u043c\u0438, \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u0443\u044f \u043f\u0440\u0430\u0432\u0438\u043b\u043e \u041a\u0440\u0430\u043c\u0435\u0440\u0430: <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/exercice-resolu-du-systeme-de-regles-de-cramer-des-equations-3-3.webp\" alt=\"\u0420\u0435\u0448\u0435\u043d\u043e \u0443\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u0435 \u043f\u043e \u043f\u0440\u0430\u0432\u0438\u043b\u0443 \u041a\u0440\u0430\u043c\u0435\u0440\u0430 \u0434\u043b\u044f \u0441\u0438\u0441\u0442\u0435\u043c\u044b \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0439 3\u04453.\" class=\"wp-image-4002\" width=\"181\" height=\"124\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E3F2FD boto_ver_solucion\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E3F2FD\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"> <strong>\u043f\u043e\u0441\u043c\u043e\u0442\u0440\u0435\u0442\u044c \u0440\u0435\u0448\u0435\u043d\u0438\u0435<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\"> \u0421\u043d\u0430\u0447\u0430\u043b\u0430 \u043c\u044b \u0441\u043e\u0437\u0434\u0430\u0435\u043c \u043c\u0430\u0442\u0440\u0438\u0446\u0443 A \u0438 \u0440\u0430\u0441\u0448\u0438\u0440\u0435\u043d\u043d\u0443\u044e \u043c\u0430\u0442\u0440\u0438\u0446\u0443 A&#8217; \u0441\u0438\u0441\u0442\u0435\u043c\u044b:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-eea75fbf6d86ebc3d0b9e236cd2160f5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  A= \\left( \\begin{array}{ccc} 1 &amp; 3 &amp; 2\\\\[1.1ex] -1 &amp; 5 &amp; -1\\\\[1.1ex] 3 &amp; -1 &amp; 4 \\end{array} \\right) \\qquad A'= \\left( \\begin{array}{ccc|c} 1 &amp; 3 &amp; 2 &amp; 2 \\\\[1.1ex] -1 &amp; 5 &amp; -1 &amp; 4 \\\\[1.1ex] 3 &amp; -1 &amp; 4 &amp; 0 \\end{array}\\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"85\" width=\"432\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0422\u0435\u043f\u0435\u0440\u044c \u043c\u044b \u043d\u0430\u0445\u043e\u0434\u0438\u043c \u0440\u0430\u043d\u0433 \u043c\u0430\u0442\u0440\u0438\u0446\u044b A, \u0432\u044b\u0447\u0438\u0441\u043b\u044f\u044f \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u0435\u043b\u044c \u043c\u0430\u0442\u0440\u0438\u0446\u044b 3\u00d73 \u043f\u043e \u043f\u0440\u0430\u0432\u0438\u043b\u0443 \u0421\u0430\u0440\u0440\u0443\u0441\u0430:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-73f751f3b5c527c16b5de1b10bf07a4e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\begin{vmatrix}A \\end{vmatrix}= \\begin{vmatrix} 1 &amp; 3 &amp; 2 \\\\[1.1ex] -1 &amp; 5 &amp; -1\\\\[1.1ex] 3 &amp; -1 &amp; 4 \\end{vmatrix} = 20-9+2-30-1+12=-6 \\bm{\\neq 0}\" title=\"Rendered by QuickLaTeX.com\" height=\"86\" width=\"445\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u041c\u0430\u0442\u0440\u0438\u0446\u0430, \u0438\u043c\u0435\u044e\u0449\u0430\u044f \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u0435\u043b\u044c \u043f\u043e\u0440\u044f\u0434\u043a\u0430 3, \u043e\u0442\u043b\u0438\u0447\u043d\u044b\u0439 \u043e\u0442 0, <strong>\u043c\u0430\u0442\u0440\u0438\u0446\u0430 \u0410 \u0438\u043c\u0435\u0435\u0442 \u0440\u0430\u043d\u0433 3:<\/strong><\/p>\n<\/p>\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\"> \u0441\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u043e, \u043c\u0430\u0442\u0440\u0438\u0446\u0430 A&#8217; \u0442\u0430\u043a\u0436\u0435 \u0438\u043c\u0435\u0435\u0442 \u0440\u0430\u043d\u0433 3:<\/p>\n<\/p>\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\"> \u0421\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u043e, \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u0443\u044f <strong>\u0442\u0435\u043e\u0440\u0435\u043c\u0443 \u0420\u0443\u0448\u0435-\u0424\u0440\u043e\u0431\u0435\u043d\u0438\u0443\u0441\u0430,<\/strong> \u043c\u044b \u0437\u043d\u0430\u0435\u043c, \u0447\u0442\u043e \u044d\u0442\u043e <strong>\u0441\u043e\u0432\u043c\u0435\u0441\u0442\u0438\u043c\u0430\u044f \u0434\u0435\u0442\u0435\u0440\u043c\u0438\u043d\u0438\u0440\u043e\u0432\u0430\u043d\u043d\u0430\u044f \u0441\u0438\u0441\u0442\u0435\u043c\u0430<\/strong> (\u0421\u041a\u0414), \u043f\u043e\u0441\u043a\u043e\u043b\u044c\u043a\u0443 \u0434\u0438\u0430\u043f\u0430\u0437\u043e\u043d A \u0440\u0430\u0432\u0435\u043d \u0434\u0438\u0430\u043f\u0430\u0437\u043e\u043d\u0443 A&#8217; \u0438 \u0447\u0438\u0441\u043b\u0443 \u043d\u0435\u0438\u0437\u0432\u0435\u0441\u0442\u043d\u044b\u0445.<\/p>\n<\/p>\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\"> \u041a\u0430\u043a \u0442\u043e\u043b\u044c\u043a\u043e \u043c\u044b \u0443\u0437\u043d\u0430\u0435\u043c, \u0447\u0442\u043e \u0441\u0438\u0441\u0442\u0435\u043c\u0430 \u044f\u0432\u043b\u044f\u0435\u0442\u0441\u044f SCD, \u043d\u0430\u043c \u043d\u0443\u0436\u043d\u043e \u043f\u0440\u0438\u043c\u0435\u043d\u0438\u0442\u044c <strong>\u043f\u0440\u0430\u0432\u0438\u043b\u043e \u041a\u0440\u0430\u043c\u0435\u0440\u0430<\/strong> \u0434\u043b\u044f \u0440\u0435\u0448\u0435\u043d\u0438\u044f \u0441\u0438\u0441\u0442\u0435\u043c\u044b.<\/p>\n<p class=\"has-text-align-left\"> \u0427\u0442\u043e\u0431\u044b \u0432\u044b\u0447\u0438\u0441\u043b\u0438\u0442\u044c \u043d\u0435\u0438\u0437\u0432\u0435\u0441\u0442\u043d\u043e\u0435<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-757d0eed520b26d08cc3b8b397d0f980_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  x\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"10\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u041f\u043e \u043f\u0440\u0430\u0432\u0438\u043b\u0443 \u041a\u0440\u0430\u043c\u0435\u0440\u0430 \u043c\u044b \u043c\u0435\u043d\u044f\u0435\u043c \u043f\u0435\u0440\u0432\u044b\u0439 \u0441\u0442\u043e\u043b\u0431\u0435\u0446 \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u0435\u043b\u044f A \u043d\u0430 \u0441\u0442\u043e\u043b\u0431\u0435\u0446 \u043d\u0435\u0437\u0430\u0432\u0438\u0441\u0438\u043c\u044b\u0445 \u0447\u043b\u0435\u043d\u043e\u0432 \u0438 \u0434\u0435\u043b\u0438\u043c \u0435\u0433\u043e \u043d\u0430 \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u0435\u043b\u044c A:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-fc574297f609b68e4fb48466ec6c8077_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\bm{x} = \\cfrac{\\begin{vmatrix} 2 &amp; 3 &amp; 2 \\\\[1.1ex] 4 &amp; 5 &amp; -1\\\\[1.1ex]0 &amp; -1 &amp; 4\\end{vmatrix}}{\\begin{vmatrix} A \\end{vmatrix}} = \\cfrac{-18}{-6} = \\bm{3}\" title=\"Rendered by QuickLaTeX.com\" height=\"113\" width=\"235\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0427\u0442\u043e\u0431\u044b \u0432\u044b\u0447\u0438\u0441\u043b\u0438\u0442\u044c \u043d\u0435\u0438\u0437\u0432\u0435\u0441\u0442\u043d\u043e\u0435<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-5fb4fb8b1addff607711094fd1ed326e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  y\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"9\" style=\"vertical-align: -4px;\"><\/p>\n<p> \u041f\u043e \u043f\u0440\u0430\u0432\u0438\u043b\u0443 \u041a\u0440\u0430\u043c\u0435\u0440\u0430 \u043c\u0435\u043d\u044f\u0435\u043c \u0432\u0442\u043e\u0440\u043e\u0439 \u0441\u0442\u043e\u043b\u0431\u0435\u0446 \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u0435\u043b\u044f \u0410 \u043d\u0430 \u0441\u0442\u043e\u043b\u0431\u0435\u0446 \u043d\u0435\u0437\u0430\u0432\u0438\u0441\u0438\u043c\u044b\u0445 \u0447\u043b\u0435\u043d\u043e\u0432 \u0438 \u0434\u0435\u043b\u0438\u043c \u0435\u0433\u043e \u043d\u0430 \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u0435\u043b\u044c \u0410:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-2544601137d62e217ff1866f278203d6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\bm{y} = \\cfrac{\\begin{vmatrix}1 &amp; 2 &amp; 2 \\\\[1.1ex] -1 &amp; 4 &amp; -1\\\\[1.1ex] 3 &amp; 0 &amp; 4\\end{vmatrix}}{\\begin{vmatrix} A \\end{vmatrix}} = \\cfrac{-6}{-6} = \\bm{1}\" title=\"Rendered by QuickLaTeX.com\" height=\"113\" width=\"224\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0420\u0430\u0441\u0441\u0447\u0438\u0442\u0430\u0442\u044c<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-23aa090e6102a41de5ad5515112e4d03_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  z\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"9\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u041f\u043e \u043f\u0440\u0430\u0432\u0438\u043b\u0443 \u041a\u0440\u0430\u043c\u0435\u0440\u0430 \u043c\u0435\u043d\u044f\u0435\u043c \u0442\u0440\u0435\u0442\u0438\u0439 \u0441\u0442\u043e\u043b\u0431\u0435\u0446 \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u0435\u043b\u044f \u0410 \u043d\u0430 \u0441\u0442\u043e\u043b\u0431\u0435\u0446 \u043d\u0435\u0437\u0430\u0432\u0438\u0441\u0438\u043c\u044b\u0445 \u0447\u043b\u0435\u043d\u043e\u0432 \u0438 \u0434\u0435\u043b\u0438\u043c \u0435\u0433\u043e \u043d\u0430 \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u0435\u043b\u044c \u0410:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-42d7d4adcfc48954185ca14b56b8e128_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\bm{z} = \\cfrac{\\begin{vmatrix} 1 &amp; 3 &amp; 2 \\\\[1.1ex] -1 &amp; 5 &amp; 4 \\\\[1.1ex] 3 &amp; -1 &amp; 0\\end{vmatrix}}{\\begin{vmatrix} A \\end{vmatrix}} = \\cfrac{12}{-6} = \\bm{-2}\" title=\"Rendered by QuickLaTeX.com\" height=\"113\" width=\"230\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0422\u0430\u043a\u0438\u043c \u043e\u0431\u0440\u0430\u0437\u043e\u043c, \u0440\u0435\u0448\u0435\u043d\u0438\u0435 \u0441\u0438\u0441\u0442\u0435\u043c\u044b \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0439 \u0438\u043c\u0435\u0435\u0442 \u0432\u0438\u0434: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-685195d3a299f30f6421bb387f7f00e4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\bm{x =3 \\qquad y=1 \\qquad z=-2}\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"210\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\">\u0423\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u0435 3<\/h3>\n<p> \u0420\u0430\u0441\u0441\u0447\u0438\u0442\u0430\u0439\u0442\u0435 \u0440\u0435\u0448\u0435\u043d\u0438\u0435 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0435\u0439 \u0441\u0438\u0441\u0442\u0435\u043c\u044b \u0442\u0440\u0435\u0445 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0439 \u0441 \u0442\u0440\u0435\u043c\u044f \u043d\u0435\u0438\u0437\u0432\u0435\u0441\u0442\u043d\u044b\u043c\u0438, \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u0443\u044f \u043f\u0440\u0430\u0432\u0438\u043b\u043e \u041a\u0440\u0430\u043c\u0435\u0440\u0430: <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/exemple-de-regle-de-cramer.webp\" alt=\"\u043f\u0440\u0438\u043c\u0435\u0440 \u043f\u0440\u0430\u0432\u0438\u043b\u0430 \u041a\u0440\u0430\u043c\u0435\u0440\u0430\" class=\"wp-image-4003\" width=\"183\" height=\"123\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E3F2FD boto_ver_solucion\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E3F2FD\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"> <strong>\u043f\u043e\u0441\u043c\u043e\u0442\u0440\u0435\u0442\u044c \u0440\u0435\u0448\u0435\u043d\u0438\u0435<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\"> \u0421\u043d\u0430\u0447\u0430\u043b\u0430 \u043c\u044b \u0441\u043e\u0437\u0434\u0430\u0435\u043c \u043c\u0430\u0442\u0440\u0438\u0446\u0443 A \u0438 \u0440\u0430\u0441\u0448\u0438\u0440\u0435\u043d\u043d\u0443\u044e \u043c\u0430\u0442\u0440\u0438\u0446\u0443 A&#8217; \u0441\u0438\u0441\u0442\u0435\u043c\u044b:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-afd359275e5ebaaf3229504c47a5815f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  A= \\left( \\begin{array}{ccc} 1 &amp; 2 &amp; 5\\\\[1.1ex] 2 &amp; 3 &amp; -1 \\\\[1.1ex] 3 &amp; 4 &amp; -7 \\end{array} \\right) \\qquad A'= \\left( \\begin{array}{ccc|c} 1 &amp; 2 &amp; 5 &amp; 1 \\\\[1.1ex] 2 &amp; 3 &amp; -1 &amp; 5 \\\\[1.1ex] 3 &amp; 4 &amp; -7 &amp; 9 \\end{array}\\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"85\" width=\"377\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0412\u044b\u0447\u0438\u0441\u043b\u044f\u0435\u043c \u0440\u0430\u0437\u043c\u0435\u0440 \u043c\u0430\u0442\u0440\u0438\u0446\u044b A: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-47ddf17a2b3eed5a680d685900a79b31_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\begin{vmatrix}A \\end{vmatrix}= \\begin{vmatrix} 1 &amp; 2 &amp; 5\\\\[1.1ex] 2 &amp; 3 &amp; -1 \\\\[1.1ex] 3 &amp; 4 &amp; -7 \\end{vmatrix} =-21-6+40-45+4+28=0\" title=\"Rendered by QuickLaTeX.com\" height=\"86\" width=\"398\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-fdd4380c7c76418bd3ec12c94359f886_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\begin{vmatrix} 1 &amp; 2 \\\\[1.1ex] 2 &amp; 3  \\end{vmatrix} = 3-4 = -1 \\neq 0\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"186\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p 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\"> \u041a\u0430\u043a \u0442\u043e\u043b\u044c\u043a\u043e \u043c\u044b \u0443\u0437\u043d\u0430\u0435\u043c \u0440\u0430\u0437\u043c\u0435\u0440 \u043c\u0430\u0442\u0440\u0438\u0446\u044b A, \u043c\u044b \u0432\u044b\u0447\u0438\u0441\u043b\u044f\u0435\u043c \u0440\u0430\u0437\u043c\u0435\u0440 \u043c\u0430\u0442\u0440\u0438\u0446\u044b A&#8217;. \u041e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u0435\u043b\u044c \u043f\u0435\u0440\u0432\u044b\u0445 \u0442\u0440\u0435\u0445 \u0441\u0442\u043e\u043b\u0431\u0446\u043e\u0432 \u0434\u0430\u0435\u0442 0, \u043f\u043e\u044d\u0442\u043e\u043c\u0443 \u043c\u044b \u043f\u0440\u043e\u0431\u0443\u0435\u043c \u0434\u0440\u0443\u0433\u0438\u0435 \u0432\u043e\u0437\u043c\u043e\u0436\u043d\u044b\u0435 \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u0435\u043b\u0438 3\u00d73 \u0432 \u043c\u0430\u0442\u0440\u0438\u0446\u0435 A&#8217;:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-1addc62130e0462075b3bade26a7e35e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\begin{vmatrix} 2 &amp; 5 &amp; 1 \\\\[1.1ex]  3 &amp; -1 &amp; 5 \\\\[1.1ex] 4 &amp; -7 &amp; 9 \\end{vmatrix} = 0 \\qquad \\begin{vmatrix} 1 &amp; 5 &amp; 1 \\\\[1.1ex] 2 &amp; -1 &amp; 5 \\\\[1.1ex] 3 &amp; -7 &amp; 9\\end{vmatrix} = 0 \\qquad \\begin{vmatrix} 1 &amp; 2 &amp; 1 \\\\[1.1ex] 2 &amp; 3 &amp; 5 \\\\[1.1ex] 3 &amp; 4 &amp; 9 \\end{vmatrix} = 0\" title=\"Rendered by QuickLaTeX.com\" height=\"86\" width=\"412\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0412\u0441\u0435 \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u0435\u043b\u0438 \u043f\u043e\u0440\u044f\u0434\u043a\u0430 3 \u0434\u0430\u044e\u0442 0. \u041e\u0434\u043d\u0430\u043a\u043e \u043c\u0430\u0442\u0440\u0438\u0446\u0430 A&#8217; \u0438\u043c\u0435\u0435\u0442 \u0442\u043e\u0442 \u0436\u0435 \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u0435\u043b\u044c 2 \u00d7 2, \u043e\u0442\u043b\u0438\u0447\u043d\u044b\u0439 \u043e\u0442 0, \u0447\u0442\u043e \u0438 \u043c\u0430\u0442\u0440\u0438\u0446\u0430 A:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-7de377466bd5afd03f58f9b532324e75_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\begin{vmatrix} 1 &amp; 2 \\\\[1.1ex] 2 &amp; 3 \\end{vmatrix} = 3-4 = -1 \\neq 0\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"186\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0421\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u043e, \u043c\u0430\u0442\u0440\u0438\u0446\u0430 A&#8217; \u0442\u0430\u043a\u0436\u0435 \u0438\u043c\u0435\u0435\u0442 \u0440\u0430\u043d\u0433 2:<\/p>\n<\/p>\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\"> \u041f\u043e\u0441\u043a\u043e\u043b\u044c\u043a\u0443 \u0440\u0430\u043d\u0433 \u043c\u0430\u0442\u0440\u0438\u0446\u044b A \u0440\u0430\u0432\u0435\u043d \u0440\u0430\u043d\u0433\u0443 \u043c\u0430\u0442\u0440\u0438\u0446\u044b A&#8217;, \u043d\u043e \u044d\u0442\u0438 \u0434\u0432\u0430 \u043c\u0435\u043d\u044c\u0448\u0435 \u0447\u0438\u0441\u043b\u0430 \u043d\u0435\u0438\u0437\u0432\u0435\u0441\u0442\u043d\u044b\u0445 \u0441\u0438\u0441\u0442\u0435\u043c\u044b (3), \u043f\u043e <strong>\u0442\u0435\u043e\u0440\u0435\u043c\u0435 \u0420\u0443\u0448\u0435-\u0424\u0440\u043e\u0431\u0435\u043d\u0438\u0443\u0441\u0430<\/strong> \u043c\u044b \u0437\u043d\u0430\u0435\u043c, \u0447\u0442\u043e \u044d\u0442\u043e <strong>\u043d\u0435\u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u043d\u0430\u044f \u0441\u043e\u0432\u043c\u0435\u0441\u0442\u0438\u043c\u0430\u044f \u0441\u0438\u0441\u0442\u0435\u043c\u0430<\/strong> (ICS):<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-96868a2569ea0ab5ca99d8dc606d3dc9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\begin{array}{c} \\begin{array}{c} \\color{black}rg(A) = 2 \\\\[1.3ex] \\color{black}rg(A')=2 \\\\[1.3ex] \\color{black}\\text{N\\'umero de inc\\'ognitas} = 3    \\end{array}} \\\\ \\\\  \\color{blue} \\boxed{ \\color{black}\\phantom{^9_9} rg(A) = rg(A') = 2 \\ < \\ n =3  \\color{blue} \\ \\bm{\\longrightarrow} \\ \\color{black} \\bm{SCI}\\phantom{^9_9}} \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"138\" width=\"475\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0411\u0443\u0434\u0443\u0447\u0438 \u0441\u0438\u0441\u0442\u0435\u043c\u043e\u0439 ICS, \u043c\u044b \u0434\u043e\u043b\u0436\u043d\u044b \u0438\u0441\u043a\u043b\u044e\u0447\u0438\u0442\u044c \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435. \u0412 \u044d\u0442\u043e\u043c \u0441\u043b\u0443\u0447\u0430\u0435 <strong>\u0438\u0441\u043a\u043b\u044e\u0447\u0438\u043c \u0438\u0437 \u0441\u0438\u0441\u0442\u0435\u043c\u044b \u043f\u043e\u0441\u043b\u0435\u0434\u043d\u0435\u0435 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435<\/strong> :<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-3a1d067e155540f4345cf56e5c1567d3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{cases} x+2y+5z=1 \\\\[1.5ex] 2x+3y-z=5 \\\\[1.5ex]\\cancel{3x+4y-7z = 9} \\end{cases} \\longrightarrow \\quad \\begin{cases} x+2y+5z=1 \\\\[1.5ex] 2x+3y-z=5\\end{cases}\" title=\"Rendered by QuickLaTeX.com\" height=\"97\" width=\"357\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> <strong>\u0422\u0435\u043f\u0435\u0440\u044c \u043f\u0440\u0435\u043e\u0431\u0440\u0430\u0437\u0443\u0435\u043c \u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u0443\u044e z \u0432 \u03bb:<\/strong><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-b5fa91777a722d3783b2f887aab44152_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{cases} x+2y+5z=1 \\\\[1.5ex] 2x+3y-z=5  \\end{cases} \\xrightarrow{z \\ = \\ \\lambda}\\quad \\begin{cases} x+2y+5\\lambda=1 \\\\[1.5ex] 2x+3y-\\lambda=5\\end{cases}\" title=\"Rendered by QuickLaTeX.com\" height=\"65\" width=\"369\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0418 \u0447\u043b\u0435\u043d\u044b \u0441 \u03bb \u0441\u0442\u0430\u0432\u0438\u043c \u0441 \u043d\u0435\u0437\u0430\u0432\u0438\u0441\u0438\u043c\u044b\u043c\u0438 \u0447\u043b\u0435\u043d\u0430\u043c\u0438:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-76ff21181be050b01c247981298986a7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{cases} x+2y=1-5\\lambda\\\\[1.5ex] 2x+3y=5+\\lambda \\end{cases}\" title=\"Rendered by QuickLaTeX.com\" height=\"65\" width=\"136\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0422\u0430\u043a\u043e\u0433\u043e, \u0447\u0442\u043e \u043c\u0430\u0442\u0440\u0438\u0446\u0430 A \u0438 \u043c\u0430\u0442\u0440\u0438\u0446\u0430 A&#8217; \u0441\u0438\u0441\u0442\u0435\u043c\u044b \u043e\u0441\u0442\u0430\u044e\u0442\u0441\u044f:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-230e5b28dd467127e63f4f9756cf90da_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  A= \\left( \\begin{array}{ccc} 1 &amp; 2  \\\\[1.1ex] 2 &amp; 3 \\end{array} \\right) \\qquad A'= \\left( \\begin{array}{cc|c} 1 &amp; 2 &amp; 1 -5\\lambda \\\\[1.1ex] 2 &amp; 3 &amp;5+\\lambda \\end{array} \\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"335\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u041d\u0430\u043a\u043e\u043d\u0435\u0446, \u043f\u0440\u0435\u043e\u0431\u0440\u0430\u0437\u043e\u0432\u0430\u0432 \u0441\u0438\u0441\u0442\u0435\u043c\u0443, <strong>\u043c\u044b \u043f\u0440\u0438\u043c\u0435\u043d\u044f\u0435\u043c \u043f\u0440\u0430\u0432\u0438\u043b\u043e \u041a\u0440\u0430\u043c\u0435\u0440\u0430<\/strong> . \u041f\u043e\u044d\u0442\u043e\u043c\u0443 \u0440\u0435\u0448\u0430\u0435\u043c \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u0435\u043b\u044c A:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f127efbd217e2bca8852ec792610732f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\begin{vmatrix}A \\end{vmatrix}= \\begin{vmatrix} 1 &amp; 2 \\\\[1.1ex] 2 &amp; 3\\end{vmatrix} =-1\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"138\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0427\u0442\u043e\u0431\u044b \u0432\u044b\u0447\u0438\u0441\u043b\u0438\u0442\u044c \u043d\u0435\u0438\u0437\u0432\u0435\u0441\u0442\u043d\u043e\u0435<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-757d0eed520b26d08cc3b8b397d0f980_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  x\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"10\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u041f\u043e \u043f\u0440\u0430\u0432\u0438\u043b\u0443 \u041a\u0440\u0430\u043c\u0435\u0440\u0430 \u043c\u044b \u043c\u0435\u043d\u044f\u0435\u043c \u043f\u0435\u0440\u0432\u044b\u0439 \u0441\u0442\u043e\u043b\u0431\u0435\u0446 \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u0435\u043b\u044f A \u043d\u0430 \u0441\u0442\u043e\u043b\u0431\u0435\u0446 \u043d\u0435\u0437\u0430\u0432\u0438\u0441\u0438\u043c\u044b\u0445 \u0447\u043b\u0435\u043d\u043e\u0432 \u0438 \u0434\u0435\u043b\u0438\u043c \u0435\u0433\u043e \u043d\u0430 \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u0435\u043b\u044c A:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-42652a14362b42e606841b6bb3e77cc0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\bm{x} = \\cfrac{\\begin{vmatrix} 1-5\\lambda &amp; 2 \\\\[1.1ex] 5+\\lambda &amp; 3 \\end{vmatrix}}{\\begin{vmatrix} A \\end{vmatrix}} = \\cfrac{3-15\\lambda -(10+2\\lambda)}{-1} = \\cfrac{-7-17\\lambda}{-1} = \\bm{7+17\\lambda}\" title=\"Rendered by QuickLaTeX.com\" height=\"81\" width=\"491\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0427\u0442\u043e\u0431\u044b \u0432\u044b\u0447\u0438\u0441\u043b\u0438\u0442\u044c \u043d\u0435\u0438\u0437\u0432\u0435\u0441\u0442\u043d\u043e\u0435<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-5fb4fb8b1addff607711094fd1ed326e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  y\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"9\" style=\"vertical-align: -4px;\"><\/p>\n<p> \u041f\u043e \u043f\u0440\u0430\u0432\u0438\u043b\u0443 \u041a\u0440\u0430\u043c\u0435\u0440\u0430 \u043c\u0435\u043d\u044f\u0435\u043c \u0432\u0442\u043e\u0440\u043e\u0439 \u0441\u0442\u043e\u043b\u0431\u0435\u0446 \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u0435\u043b\u044f \u0410 \u043d\u0430 \u0441\u0442\u043e\u043b\u0431\u0435\u0446 \u043d\u0435\u0437\u0430\u0432\u0438\u0441\u0438\u043c\u044b\u0445 \u0447\u043b\u0435\u043d\u043e\u0432 \u0438 \u0434\u0435\u043b\u0438\u043c \u0435\u0433\u043e \u043d\u0430 \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u0435\u043b\u044c \u0410:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-b95c5870f1762a2d82c9ebcccbca7408_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\bm{y} = \\cfrac{\\begin{vmatrix} 1 &amp; 1-5\\lambda \\\\[1.1ex] 2 &amp; 5+\\lambda \\end{vmatrix}}{\\begin{vmatrix} A \\end{vmatrix}} = \\cfrac{5+\\lambda -(2-10\\lambda)}{-1}= \\cfrac{3+11\\lambda}{-1} = \\bm{-3-11\\lambda}\" title=\"Rendered by QuickLaTeX.com\" height=\"81\" width=\"465\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0410 \u0440\u0435\u0448\u0435\u043d\u0438\u0435 \u0441\u0438\u0441\u0442\u0435\u043c\u044b \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0439 \u044f\u0432\u043b\u044f\u0435\u0442\u0441\u044f \u0444\u0443\u043d\u043a\u0446\u0438\u0435\u0439 \u043e\u0442 \u03bb, \u043f\u043e\u0441\u043a\u043e\u043b\u044c\u043a\u0443 \u043e\u043d\u0430 \u044f\u0432\u043b\u044f\u0435\u0442\u0441\u044f \u0421\u041a\u0418 \u0438, \u0441\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u043e, \u0438\u043c\u0435\u0435\u0442 \u0431\u0435\u0441\u043a\u043e\u043d\u0435\u0447\u043d\u043e \u043c\u043d\u043e\u0433\u043e \u0440\u0435\u0448\u0435\u043d\u0438\u0439: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-5483357f081aca551b07fe7c8f9ebf5d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\bm{x =7+17\\lambda} \\qquad \\bm{y=-3-11\\lambda} \\qquad \\bm{z = \\lambda}\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"311\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<div class=\"adsb30\" style=\" margin:12px; text-align:center\">\n<div id=\"ezoic-pub-ad-placeholder-119\"><\/div>\n<\/div>\n<h3 class=\"wp-block-heading\"> \u0423\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u0435 4<\/h3>\n<p> \u0420\u0435\u0448\u0438\u0442\u0435 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0443\u044e \u0437\u0430\u0434\u0430\u0447\u0443 \u043e \u0441\u0438\u0441\u0442\u0435\u043c\u0435 \u0442\u0440\u0435\u0445 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0439 \u0441 \u0442\u0440\u0435\u043c\u044f \u043d\u0435\u0438\u0437\u0432\u0435\u0441\u0442\u043d\u044b\u043c\u0438, \u043f\u0440\u0438\u043c\u0435\u043d\u0438\u0432 \u043f\u0440\u0430\u0432\u0438\u043b\u043e \u041a\u0440\u0430\u043c\u0435\u0440\u0430: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-61e1c3458f33b863db10750b9e51d09e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{cases} -2x+5y+z=8 \\\\[1.5ex] 6x+2y+4z=4 \\\\[1.5ex] 3x-2y+z = -2 \\end{cases}\" title=\"Rendered by QuickLaTeX.com\" height=\"97\" width=\"149\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E3F2FD boto_ver_solucion\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E3F2FD\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"> <strong>\u043f\u043e\u0441\u043c\u043e\u0442\u0440\u0435\u0442\u044c \u0440\u0435\u0448\u0435\u043d\u0438\u0435<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\"> \u0421\u043d\u0430\u0447\u0430\u043b\u0430 \u043f\u043e\u0441\u0442\u0440\u043e\u0438\u043c \u043c\u0430\u0442\u0440\u0438\u0446\u0443 A \u0438 \u0440\u0430\u0441\u0448\u0438\u0440\u0435\u043d\u043d\u0443\u044e \u043c\u0430\u0442\u0440\u0438\u0446\u0443 A&#8217; \u0441\u0438\u0441\u0442\u0435\u043c\u044b:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-743a40010cb4a610e8a3fc6ae5d313b4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  A= \\left( \\begin{array}{ccc}-2 &amp; 5 &amp; 1 \\\\[1.1ex] 6 &amp; 2 &amp; 4 \\\\[1.1ex] 3 &amp; -2 &amp; 1\\end{array} \\right) \\qquad A'= \\left( \\begin{array}{ccc|c} -2 &amp; 5 &amp; 1 &amp; 8 \\\\[1.1ex] 6 &amp; 2 &amp; 4 &amp; 4 \\\\[1.1ex] 3 &amp; -2 &amp; 1 &amp; -2 \\end{array}\\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"85\" width=\"419\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0422\u0435\u043f\u0435\u0440\u044c \u0434\u0430\u0432\u0430\u0439\u0442\u0435 \u0432\u044b\u0447\u0438\u0441\u043b\u0438\u043c \u0440\u0430\u043d\u0433 \u043c\u0430\u0442\u0440\u0438\u0446\u044b A, \u0432\u044b\u0447\u0438\u0441\u043b\u0438\u0432 \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u0435\u043b\u044c \u043c\u0430\u0442\u0440\u0438\u0446\u044b 3&#215;3 \u043f\u043e \u043f\u0440\u0430\u0432\u0438\u043b\u0443 \u0421\u0430\u0440\u0440\u0443\u0441\u0430:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-713c634fbc3e1b1cb228e3891c9bff1c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\begin{vmatrix}A \\end{vmatrix}= \\begin{vmatrix} -2 &amp; 5 &amp; 1 \\\\[1.1ex] 6 &amp; 2 &amp; 4 \\\\[1.1ex] 3 &amp; -2 &amp; 1 \\end{vmatrix} = -4+60-12-6-16-30=-8 \\bm{\\neq 0}\" title=\"Rendered by QuickLaTeX.com\" height=\"86\" width=\"453\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u041c\u0430\u0442\u0440\u0438\u0446\u0430, \u0438\u043c\u0435\u044e\u0449\u0430\u044f \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u0435\u043b\u044c \u043f\u043e\u0440\u044f\u0434\u043a\u0430 3, \u043e\u0442\u043b\u0438\u0447\u043d\u044b\u0439 \u043e\u0442 0, <strong>\u043c\u0430\u0442\u0440\u0438\u0446\u0430 \u0410 \u0438\u043c\u0435\u0435\u0442 \u0440\u0430\u043d\u0433 3:<\/strong><\/p>\n<\/p>\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\"> \u0441\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u043e, \u043c\u0430\u0442\u0440\u0438\u0446\u0430 A&#8217; \u0442\u0430\u043a\u0436\u0435 \u0438\u043c\u0435\u0435\u0442 \u0440\u0430\u043d\u0433 3, \u043f\u043e\u0441\u043a\u043e\u043b\u044c\u043a\u0443 \u043e\u043d\u0430 \u0434\u043e\u043b\u0436\u043d\u0430 \u0431\u044b\u0442\u044c \u043f\u043e \u043a\u0440\u0430\u0439\u043d\u0435\u0439 \u043c\u0435\u0440\u0435 \u0442\u043e\u0433\u043e \u0436\u0435 \u0440\u0430\u043d\u0433\u0430, \u0447\u0442\u043e \u0438 \u043c\u0430\u0442\u0440\u0438\u0446\u0430 A, \u0438 \u043d\u0435 \u043c\u043e\u0436\u0435\u0442 \u0438\u043c\u0435\u0442\u044c \u0440\u0430\u043d\u0433 4, \u043f\u043e\u0441\u043a\u043e\u043b\u044c\u043a\u0443 \u044d\u0442\u043e \u043c\u0430\u0442\u0440\u0438\u0446\u0430 \u0440\u0430\u0437\u043c\u0435\u0440\u043d\u043e\u0441\u0442\u0438 3\u00d74.<\/p>\n<\/p>\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\"> \u0421\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u043e, \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u0443\u044f <strong>\u0442\u0435\u043e\u0440\u0435\u043c\u0443 \u0420\u0443\u0448\u0435-\u0424\u0440\u043e\u0431\u0435\u043d\u0438\u0443\u0441\u0430,<\/strong> \u043c\u044b \u043f\u0440\u0438\u0445\u043e\u0434\u0438\u043c \u043a \u0432\u044b\u0432\u043e\u0434\u0443, \u0447\u0442\u043e \u044d\u0442\u043e <strong>\u0434\u0435\u0442\u0435\u0440\u043c\u0438\u043d\u0438\u0440\u043e\u0432\u0430\u043d\u043d\u0430\u044f \u0441\u043e\u0432\u043c\u0435\u0441\u0442\u0438\u043c\u0430\u044f \u0441\u0438\u0441\u0442\u0435\u043c\u0430<\/strong> (SCD), \u043f\u043e\u0441\u043a\u043e\u043b\u044c\u043a\u0443 \u0434\u0438\u0430\u043f\u0430\u0437\u043e\u043d A \u0440\u0430\u0432\u0435\u043d \u0434\u0438\u0430\u043f\u0430\u0437\u043e\u043d\u0443 A&#8217; \u0438 \u0447\u0438\u0441\u043b\u0443 \u043d\u0435\u0438\u0437\u0432\u0435\u0441\u0442\u043d\u044b\u0445.<\/p>\n<\/p>\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\"> \u041a\u0430\u043a \u0442\u043e\u043b\u044c\u043a\u043e \u043c\u044b \u0443\u0437\u043d\u0430\u0435\u043c, \u0447\u0442\u043e \u0441\u0438\u0441\u0442\u0435\u043c\u0430 \u044f\u0432\u043b\u044f\u0435\u0442\u0441\u044f SCD, \u043d\u0430\u043c \u043d\u0443\u0436\u043d\u043e \u043f\u0440\u0438\u043c\u0435\u043d\u0438\u0442\u044c <strong>\u043f\u0440\u0430\u0432\u0438\u043b\u043e \u041a\u0440\u0430\u043c\u0435\u0440\u0430<\/strong> \u0434\u043b\u044f \u0440\u0435\u0448\u0435\u043d\u0438\u044f \u0441\u0438\u0441\u0442\u0435\u043c\u044b.<\/p>\n<p class=\"has-text-align-left\"> \u0427\u0442\u043e\u0431\u044b \u0432\u044b\u0447\u0438\u0441\u043b\u0438\u0442\u044c \u043d\u0435\u0438\u0437\u0432\u0435\u0441\u0442\u043d\u043e\u0435<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-757d0eed520b26d08cc3b8b397d0f980_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  x\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"10\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u041f\u043e \u043f\u0440\u0430\u0432\u0438\u043b\u0443 \u041a\u0440\u0430\u043c\u0435\u0440\u0430 \u043c\u044b \u043c\u0435\u043d\u044f\u0435\u043c \u043f\u0435\u0440\u0432\u044b\u0439 \u0441\u0442\u043e\u043b\u0431\u0435\u0446 \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u0435\u043b\u044f A \u043d\u0430 \u0441\u0442\u043e\u043b\u0431\u0435\u0446 \u043d\u0435\u0437\u0430\u0432\u0438\u0441\u0438\u043c\u044b\u0445 \u0447\u043b\u0435\u043d\u043e\u0432 \u0438 \u0434\u0435\u043b\u0438\u043c \u0435\u0433\u043e \u043d\u0430 \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u0435\u043b\u044c A:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-8a290479c69ff806f19dcf29f96e1228_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\bm{x} = \\cfrac{\\begin{vmatrix} 8 &amp; 5 &amp; 1 \\\\[1.1ex] 4 &amp; 2 &amp; 4 \\\\[1.1ex] -2 &amp; -2 &amp; 1\\end{vmatrix}}{\\begin{vmatrix} A \\end{vmatrix}} = \\cfrac{16}{-8} = \\bm{-2}\" title=\"Rendered by QuickLaTeX.com\" height=\"113\" width=\"231\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0427\u0442\u043e\u0431\u044b \u0432\u044b\u0447\u0438\u0441\u043b\u0438\u0442\u044c \u043d\u0435\u0438\u0437\u0432\u0435\u0441\u0442\u043d\u043e\u0435<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-5fb4fb8b1addff607711094fd1ed326e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  y\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"9\" style=\"vertical-align: -4px;\"><\/p>\n<p> \u041f\u043e \u043f\u0440\u0430\u0432\u0438\u043b\u0443 \u041a\u0440\u0430\u043c\u0435\u0440\u0430 \u043c\u0435\u043d\u044f\u0435\u043c \u0432\u0442\u043e\u0440\u043e\u0439 \u0441\u0442\u043e\u043b\u0431\u0435\u0446 \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u0435\u043b\u044f \u0410 \u043d\u0430 \u0441\u0442\u043e\u043b\u0431\u0435\u0446 \u043d\u0435\u0437\u0430\u0432\u0438\u0441\u0438\u043c\u044b\u0445 \u0447\u043b\u0435\u043d\u043e\u0432 \u0438 \u0434\u0435\u043b\u0438\u043c \u0435\u0433\u043e \u043d\u0430 \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u0435\u043b\u044c \u0410:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-8bba0765fbcbcebf0585520af25b4a30_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\bm{y} = \\cfrac{\\begin{vmatrix}-2 &amp; 8 &amp; 1 \\\\[1.1ex] 6 &amp; 4 &amp; 4 \\\\[1.1ex] 3 &amp; -2 &amp; 1\\end{vmatrix}}{\\begin{vmatrix} A \\end{vmatrix}} = \\cfrac{0}{-6} = \\bm{0}\" title=\"Rendered by QuickLaTeX.com\" height=\"113\" width=\"217\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0420\u0430\u0441\u0441\u0447\u0438\u0442\u0430\u0442\u044c<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-23aa090e6102a41de5ad5515112e4d03_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  z\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"9\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u041f\u043e \u043f\u0440\u0430\u0432\u0438\u043b\u0443 \u041a\u0440\u0430\u043c\u0435\u0440\u0430 \u043c\u0435\u043d\u044f\u0435\u043c \u0442\u0440\u0435\u0442\u0438\u0439 \u0441\u0442\u043e\u043b\u0431\u0435\u0446 \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u0435\u043b\u044f \u0410 \u043d\u0430 \u0441\u0442\u043e\u043b\u0431\u0435\u0446 \u043d\u0435\u0437\u0430\u0432\u0438\u0441\u0438\u043c\u044b\u0445 \u0447\u043b\u0435\u043d\u043e\u0432 \u0438 \u0434\u0435\u043b\u0438\u043c \u0435\u0433\u043e \u043d\u0430 \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u0435\u043b\u044c \u0410:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-5bc157a8c4dfe8ee4651affac68ef878_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\bm{z} = \\cfrac{\\begin{vmatrix} -2 &amp; 5 &amp; 8 \\\\[1.1ex] 6 &amp; 2 &amp; 4 \\\\[1.1ex] 3 &amp; -2 &amp; -2\\end{vmatrix}}{\\begin{vmatrix} A \\end{vmatrix}} = \\cfrac{-32}{-8} = \\bm{4}\" title=\"Rendered by QuickLaTeX.com\" height=\"113\" width=\"247\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0422\u0430\u043a\u0438\u043c \u043e\u0431\u0440\u0430\u0437\u043e\u043c, \u0440\u0435\u0448\u0435\u043d\u0438\u0435 \u0441\u0438\u0441\u0442\u0435\u043c\u044b \u043b\u0438\u043d\u0435\u0439\u043d\u044b\u0445 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0439 \u0438\u043c\u0435\u0435\u0442 \u0432\u0438\u0434: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-6c004c5c466235d2d1a784707145d952_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\bm{x =-2 \\qquad y=0 \\qquad z=4}\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"211\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\">\u0423\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u0435 5<\/h3>\n<p> \u0420\u0435\u0448\u0438\u0442\u0435 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0443\u044e \u0441\u0438\u0441\u0442\u0435\u043c\u0443 \u043b\u0438\u043d\u0435\u0439\u043d\u044b\u0445 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0439, \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u0443\u044f \u043f\u0440\u0430\u0432\u0438\u043b\u043e \u041a\u0440\u0430\u043c\u0435\u0440\u0430: <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/exemple-comment-resoudre-un-systeme-dequations-avec-la-regle-de-cramer.webp\" alt=\"\u041f\u0440\u0438\u043c\u0435\u0440 \u0440\u0435\u0448\u0435\u043d\u0438\u044f \u0441\u0438\u0441\u0442\u0435\u043c\u044b \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0439 \u043f\u043e \u043f\u0440\u0430\u0432\u0438\u043b\u0443 \u041a\u0440\u0430\u043c\u0435\u0440\u0430\" class=\"wp-image-4008\" width=\"215\" height=\"127\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E3F2FD boto_ver_solucion\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E3F2FD\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"> <strong>\u043f\u043e\u0441\u043c\u043e\u0442\u0440\u0435\u0442\u044c \u0440\u0435\u0448\u0435\u043d\u0438\u0435<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\"> \u0421\u043d\u0430\u0447\u0430\u043b\u0430 \u043c\u044b \u0441\u043e\u0437\u0434\u0430\u0435\u043c \u043c\u0430\u0442\u0440\u0438\u0446\u0443 A \u0438 \u0440\u0430\u0441\u0448\u0438\u0440\u0435\u043d\u043d\u0443\u044e \u043c\u0430\u0442\u0440\u0438\u0446\u0443 A&#8217; \u0441\u0438\u0441\u0442\u0435\u043c\u044b:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f5153b5951b768cc3cafa2bb2567ba92_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  A= \\left( \\begin{array}{ccc} 3 &amp; -2 &amp; -3 \\\\[1.1ex] -1 &amp; 5 &amp; 4 \\\\[1.1ex] 5 &amp; 1 &amp; -2 \\end{array} \\right) \\qquad A'= \\left( \\begin{array}{ccc|c} 3 &amp; -2 &amp; -3 &amp; 4 \\\\[1.1ex] -1 &amp; 5 &amp; 4 &amp; -10 \\\\[1.1ex] 5 &amp; 1 &amp; -2 &amp; -2 \\end{array}\\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"85\" width=\"455\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0412\u044b\u0447\u0438\u0441\u043b\u044f\u0435\u043c \u0440\u0430\u0437\u043c\u0435\u0440 \u043c\u0430\u0442\u0440\u0438\u0446\u044b A: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f3778c9499e2a44ea3834dfed1523163_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\begin{vmatrix}A \\end{vmatrix}= \\begin{vmatrix} 3 &amp; -2 &amp; -3 \\\\[1.1ex] -1 &amp; 5 &amp; 4 \\\\[1.1ex] 5 &amp; 1 &amp; -2 \\end{vmatrix} =-30-40+3+75-12+4=0\" title=\"Rendered by QuickLaTeX.com\" height=\"86\" width=\"426\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-03d70742b14ced92f33963df0c86e92f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\begin{vmatrix} 3 &amp; -2 \\\\[1.1ex] -1 &amp; 5  \\end{vmatrix} = 15- (2)= 13 \\neq 0\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"231\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p 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\"> \u041a\u0430\u043a \u0442\u043e\u043b\u044c\u043a\u043e \u043c\u044b \u0443\u0437\u043d\u0430\u0435\u043c \u0440\u0430\u0437\u043c\u0435\u0440 \u043c\u0430\u0442\u0440\u0438\u0446\u044b A, \u043c\u044b \u0432\u044b\u0447\u0438\u0441\u043b\u044f\u0435\u043c \u0440\u0430\u0437\u043c\u0435\u0440 \u043c\u0430\u0442\u0440\u0438\u0446\u044b A&#8217;. \u041e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u0435\u043b\u044c \u043f\u0435\u0440\u0432\u044b\u0445 \u0442\u0440\u0435\u0445 \u0441\u0442\u043e\u043b\u0431\u0446\u043e\u0432 \u0434\u0430\u0435\u0442 0, \u043f\u043e\u044d\u0442\u043e\u043c\u0443 \u043c\u044b \u043f\u0440\u043e\u0431\u0443\u0435\u043c \u0434\u0440\u0443\u0433\u0438\u0435 \u0432\u043e\u0437\u043c\u043e\u0436\u043d\u044b\u0435 \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u0435\u043b\u0438 3\u00d73 \u0432 \u043c\u0430\u0442\u0440\u0438\u0446\u0435 A&#8217;:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-5bed93d532ae4ccd4649a73662f55f0f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\begin{vmatrix} -2 &amp; -3 &amp; 4 \\\\[1.1ex] 5 &amp; 4 &amp; -10 \\\\[1.1ex]  1 &amp; -2 &amp; -2 \\end{vmatrix} = 0 \\qquad \\begin{vmatrix}3 &amp; -3 &amp; 4 \\\\[1.1ex] -1 &amp; 4 &amp; -10 \\\\[1.1ex] 5 &amp; -2 &amp; -2\\end{vmatrix} = 0 \\qquad \\begin{vmatrix} 3 &amp; -2 &amp; 4 \\\\[1.1ex] -1 &amp; 5 &amp; -10 \\\\[1.1ex] 5 &amp; 1 &amp;-2\\end{vmatrix} = 0\" title=\"Rendered by QuickLaTeX.com\" height=\"86\" width=\"535\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0412\u0441\u0435 \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u0435\u043b\u0438 \u043f\u043e\u0440\u044f\u0434\u043a\u0430 3 \u0434\u0430\u044e\u0442 0. \u041d\u043e, \u043e\u0447\u0435\u0432\u0438\u0434\u043d\u043e, \u043c\u0430\u0442\u0440\u0438\u0446\u0430 \u0410&#8217; \u0438\u043c\u0435\u0435\u0442 \u0442\u043e\u0442 \u0436\u0435 \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u0435\u043b\u044c \u043f\u043e\u0440\u044f\u0434\u043a\u0430 2, \u043e\u0442\u043b\u0438\u0447\u043d\u044b\u0439 \u043e\u0442 0, \u0447\u0442\u043e \u0438 \u043c\u0430\u0442\u0440\u0438\u0446\u0430 \u0410:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-858d95d7d252b16706b66c0e6aba09c4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\begin{vmatrix} 3 &amp; -2 \\\\[1.1ex] -1 &amp; 5 \\end{vmatrix} = 13 \\neq 0\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"145\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0421\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u043e, \u043c\u0430\u0442\u0440\u0438\u0446\u0430 A&#8217; \u0442\u0430\u043a\u0436\u0435 \u0438\u043c\u0435\u0435\u0442 \u0440\u0430\u043d\u0433 2:<\/p>\n<\/p>\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\"> \u0420\u0430\u043d\u0433 \u043c\u0430\u0442\u0440\u0438\u0446\u044b A \u0440\u0430\u0432\u0435\u043d \u0440\u0430\u043d\u0433\u0443 \u043c\u0430\u0442\u0440\u0438\u0446\u044b A&#8217;, \u043d\u043e \u044d\u0442\u0438 \u0434\u0432\u0430 \u043c\u0435\u043d\u044c\u0448\u0435, \u0447\u0435\u043c \u043a\u043e\u043b\u0438\u0447\u0435\u0441\u0442\u0432\u043e \u043d\u0435\u0438\u0437\u0432\u0435\u0441\u0442\u043d\u044b\u0445 \u0441\u0438\u0441\u0442\u0435\u043c\u044b (3), \u043f\u043e\u044d\u0442\u043e\u043c\u0443 \u043f\u043e <strong>\u0442\u0435\u043e\u0440\u0435\u043c\u0435 \u0420\u0443\u0448\u0435-\u0424\u0440\u043e\u0431\u0435\u043d\u0438\u0443\u0441\u0430<\/strong> \u043c\u044b \u0437\u043d\u0430\u0435\u043c, \u0447\u0442\u043e \u044d\u0442\u043e <strong>\u043d\u0435\u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u043d\u0430\u044f \u0441\u0438\u0441\u0442\u0435\u043c\u0430, \u0441\u043e\u0432\u043c\u0435\u0441\u0442\u0438\u043c\u0430\u044f<\/strong> (SCI). :<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-96868a2569ea0ab5ca99d8dc606d3dc9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\begin{array}{c} \\begin{array}{c} \\color{black}rg(A) = 2 \\\\[1.3ex] \\color{black}rg(A')=2 \\\\[1.3ex] \\color{black}\\text{N\\'umero de inc\\'ognitas} = 3    \\end{array}} \\\\ \\\\  \\color{blue} \\boxed{ \\color{black}\\phantom{^9_9} rg(A) = rg(A') = 2 \\ < \\ n =3  \\color{blue} \\ \\bm{\\longrightarrow} \\ \\color{black} \\bm{SCI}\\phantom{^9_9}} \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"138\" width=\"475\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0411\u0443\u0434\u0443\u0447\u0438 \u0441\u0438\u0441\u0442\u0435\u043c\u043e\u0439 ICS, \u043c\u044b \u0434\u043e\u043b\u0436\u043d\u044b \u0438\u0441\u043a\u043b\u044e\u0447\u0438\u0442\u044c \u043e\u0434\u043d\u043e \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435. \u0412 \u044d\u0442\u043e\u043c \u0441\u043b\u0443\u0447\u0430\u0435 <strong>\u0438\u0441\u043a\u043b\u044e\u0447\u0438\u043c \u0438\u0437 \u0441\u0438\u0441\u0442\u0435\u043c\u044b \u043f\u043e\u0441\u043b\u0435\u0434\u043d\u0435\u0435 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435<\/strong> :<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-4e10bd826663dff41c4272610cbc07b1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{cases} 3x-2y-3z=4 \\\\[1.5ex] -x+5y+4z=-10 \\\\[1.5ex]\\cancel{5x+y-2z = -2} \\end{cases} \\longrightarrow \\quad \\begin{cases} 3x-2y-3z=4 \\\\[1.5ex] -x+5y+4z=-10\\end{cases}\" title=\"Rendered by QuickLaTeX.com\" height=\"97\" width=\"423\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> <strong>\u0422\u0435\u043f\u0435\u0440\u044c \u043f\u0440\u0435\u043e\u0431\u0440\u0430\u0437\u0443\u0435\u043c \u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u0443\u044e z \u0432 \u03bb:<\/strong><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-2502be450040b38761c08e5d6beaf379_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{cases} 3x-2y-3z=4 \\\\[1.5ex] -x+5y+4z=-10  \\end{cases} \\xrightarrow{z \\ = \\ \\lambda}\\quad \\begin{cases} 3x-2y-3\\lambda=4 \\\\[1.5ex] -x+5y+4\\lambda=-10\\end{cases}\" title=\"Rendered by QuickLaTeX.com\" height=\"65\" width=\"444\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0418 \u0447\u043b\u0435\u043d\u044b \u0441 \u03bb \u0441\u0442\u0430\u0432\u0438\u043c \u0441 \u043d\u0435\u0437\u0430\u0432\u0438\u0441\u0438\u043c\u044b\u043c\u0438 \u0447\u043b\u0435\u043d\u0430\u043c\u0438:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-80a43d98e6be30965d554e8a89aa5d89_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{cases} 3x-2y=4+3\\lambda \\\\[1.5ex] -x+5y=-10-4\\lambda\\end{cases}\" title=\"Rendered by QuickLaTeX.com\" height=\"65\" width=\"172\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0422\u0430\u043a\u043e\u0433\u043e, \u0447\u0442\u043e \u043c\u0430\u0442\u0440\u0438\u0446\u0430 A \u0438 \u043c\u0430\u0442\u0440\u0438\u0446\u0430 A&#8217; \u0441\u0438\u0441\u0442\u0435\u043c\u044b \u043e\u0441\u0442\u0430\u044e\u0442\u0441\u044f:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-3451ce571163983cf41794d4998283d6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  A= \\left( \\begin{array}{ccc} 3 &amp; -2  \\\\[1.1ex] -1 &amp; 5 \\end{array} \\right) \\qquad A'= \\left( \\begin{array}{cc|c} 3 &amp; -2 &amp; 4+3\\lambda \\\\[1.1ex] 1 &amp; 5 &amp;-10-4\\lambda \\end{array} \\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"399\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u041d\u0430\u043a\u043e\u043d\u0435\u0446, \u043f\u0440\u0435\u043e\u0431\u0440\u0430\u0437\u043e\u0432\u0430\u0432 \u0441\u0438\u0441\u0442\u0435\u043c\u0443, <strong>\u043c\u044b \u043f\u0440\u0438\u043c\u0435\u043d\u044f\u0435\u043c \u043f\u0440\u0430\u0432\u0438\u043b\u043e \u041a\u0440\u0430\u043c\u0435\u0440\u0430<\/strong> . \u041f\u043e\u044d\u0442\u043e\u043c\u0443 \u0440\u0435\u0448\u0430\u0435\u043c \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u0435\u043b\u044c A:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-0e7a7d6208ea5e762f5c74a44e6838cf_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\begin{vmatrix}A \\end{vmatrix}= \\begin{vmatrix}3&amp; -2 \\\\[1.1ex] -1 &amp; 5\\end{vmatrix} =13\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"162\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0427\u0442\u043e\u0431\u044b \u0432\u044b\u0447\u0438\u0441\u043b\u0438\u0442\u044c \u043d\u0435\u0438\u0437\u0432\u0435\u0441\u0442\u043d\u043e\u0435<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-757d0eed520b26d08cc3b8b397d0f980_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  x\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"10\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u041f\u043e \u043f\u0440\u0430\u0432\u0438\u043b\u0443 \u041a\u0440\u0430\u043c\u0435\u0440\u0430 \u043c\u044b \u043c\u0435\u043d\u044f\u0435\u043c \u043f\u0435\u0440\u0432\u044b\u0439 \u0441\u0442\u043e\u043b\u0431\u0435\u0446 \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u0435\u043b\u044f A \u043d\u0430 \u0441\u0442\u043e\u043b\u0431\u0435\u0446 \u043d\u0435\u0437\u0430\u0432\u0438\u0441\u0438\u043c\u044b\u0445 \u0447\u043b\u0435\u043d\u043e\u0432 \u0438 \u0434\u0435\u043b\u0438\u043c \u0435\u0433\u043e \u043d\u0430 \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u0435\u043b\u044c A:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-8c30fcc0526c2d4112eb4f60a3d8847f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\bm{x} = \\cfrac{\\begin{vmatrix} 4+3\\lambda &amp; -2 \\\\[1.1ex]-10-4\\lambda &amp; 5\\end{vmatrix}}{\\begin{vmatrix} A \\end{vmatrix}} = \\cfrac{20+15\\lambda -(20+8\\lambda)}{13} = \\cfrac{\\bm{7\\lambda}}{\\bm{13}}\" title=\"Rendered by QuickLaTeX.com\" height=\"81\" width=\"394\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0427\u0442\u043e\u0431\u044b \u0432\u044b\u0447\u0438\u0441\u043b\u0438\u0442\u044c \u043d\u0435\u0438\u0437\u0432\u0435\u0441\u0442\u043d\u043e\u0435<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-5fb4fb8b1addff607711094fd1ed326e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  y\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"9\" style=\"vertical-align: -4px;\"><\/p>\n<p> \u041f\u043e \u043f\u0440\u0430\u0432\u0438\u043b\u0443 \u041a\u0440\u0430\u043c\u0435\u0440\u0430 \u043c\u0435\u043d\u044f\u0435\u043c \u0432\u0442\u043e\u0440\u043e\u0439 \u0441\u0442\u043e\u043b\u0431\u0435\u0446 \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u0435\u043b\u044f \u0410 \u043d\u0430 \u0441\u0442\u043e\u043b\u0431\u0435\u0446 \u043d\u0435\u0437\u0430\u0432\u0438\u0441\u0438\u043c\u044b\u0445 \u0447\u043b\u0435\u043d\u043e\u0432 \u0438 \u0434\u0435\u043b\u0438\u043c \u0435\u0433\u043e \u043d\u0430 \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u0435\u043b\u044c \u0410:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-fdb22a54274e019c811c9051502c474a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\bm{y} = \\cfrac{\\begin{vmatrix} 3 &amp; 4+3\\lambda \\\\[1.1ex] -1 &amp; -10-4\\lambda\\end{vmatrix}}{\\begin{vmatrix} A \\end{vmatrix}} = \\cfrac{-30-12\\lambda -(-4-3\\lambda)}{13}= \\cfrac{\\bm{-26-9\\lambda}}{\\bm{13}}\" title=\"Rendered by QuickLaTeX.com\" height=\"81\" width=\"473\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0422\u0430\u043a\u0438\u043c \u043e\u0431\u0440\u0430\u0437\u043e\u043c, \u0440\u0435\u0448\u0435\u043d\u0438\u0435 \u0441\u0438\u0441\u0442\u0435\u043c\u044b \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0439 \u044f\u0432\u043b\u044f\u0435\u0442\u0441\u044f \u0444\u0443\u043d\u043a\u0446\u0438\u0435\u0439 \u043e\u0442 \u03bb, \u0442\u0430\u043a \u043a\u0430\u043a \u043e\u043d\u0430 \u044f\u0432\u043b\u044f\u0435\u0442\u0441\u044f \u0421\u041a\u0418 \u0438, \u0441\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u043e, \u0441\u0438\u0441\u0442\u0435\u043c\u0430 \u0438\u043c\u0435\u0435\u0442 \u0431\u0435\u0441\u043a\u043e\u043d\u0435\u0447\u043d\u043e \u043c\u043d\u043e\u0433\u043e \u0440\u0435\u0448\u0435\u043d\u0438\u0439:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-d0e525b9aca6bd683491ab7950f039e3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\bm{x=} \\cfrac{\\bm{7\\lambda}}{\\bm{13}} \\qquad \\bm{y=} \\cfrac{\\bm{-26-9\\lambda}}{\\bm{13}} \\qquad \\bm{z = \\lambda}\" title=\"Rendered by QuickLaTeX.com\" height=\"39\" width=\"266\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n","protected":false},"excerpt":{"rendered":"<p>\u041d\u0430 \u044d\u0442\u043e\u0439 \u0441\u0442\u0440\u0430\u043d\u0438\u0446\u0435 \u0432\u044b \u0443\u0432\u0438\u0434\u0438\u0442\u0435, \u0447\u0442\u043e \u0442\u0430\u043a\u043e\u0435 \u043f\u0440\u0430\u0432\u0438\u043b\u043e \u041a\u0440\u0430\u043c\u0435\u0440\u0430, \u0430 \u0442\u0430\u043a\u0436\u0435 \u043d\u0430\u0439\u0434\u0435\u0442\u0435 \u043f\u0440\u0438\u043c\u0435\u0440\u044b \u0438 \u0443\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u044f \u0441 \u0440\u0435\u0448\u0435\u043d\u0438\u0435\u043c \u0441\u0438\u0441\u0442\u0435\u043c \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0439 \u043f\u043e \u043f\u0440\u0430\u0432\u0438\u043b\u0443 \u041a\u0440\u0430\u043c\u0435\u0440\u0430. \u0427\u0442\u043e \u0442\u0430\u043a\u043e\u0435 \u043f\u0440\u0430\u0432\u0438\u043b\u043e \u041a\u0440\u0430\u043c\u0435\u0440\u0430? \u041f\u0440\u0430\u0432\u0438\u043b\u043e \u041a\u0440\u0430\u043c\u0435\u0440\u0430 \u2014 \u044d\u0442\u043e \u043c\u0435\u0442\u043e\u0434 \u0440\u0435\u0448\u0435\u043d\u0438\u044f \u0441\u0438\u0441\u0442\u0435\u043c \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0439 \u0441 \u043f\u043e\u043c\u043e\u0449\u044c\u044e \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u0435\u043b\u0435\u0439. \u0414\u0430\u0432\u0430\u0439\u0442\u0435 \u043f\u043e\u0441\u043c\u043e\u0442\u0440\u0438\u043c, \u043a\u0430\u043a \u043e\u043d \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u0443\u0435\u0442\u0441\u044f: \u0420\u0430\u0441\u0441\u043c\u043e\u0442\u0440\u0438\u043c \u0441\u0438\u0441\u0442\u0435\u043c\u0443 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0439: \u041c\u0430\u0442\u0440\u0438\u0446\u0430 A \u0438 \u0440\u0430\u0441\u0448\u0438\u0440\u0435\u043d\u043d\u0430\u044f \u043c\u0430\u0442\u0440\u0438\u0446\u0430 A&#8217; \u0441\u0438\u0441\u0442\u0435\u043c\u044b: \u041f\u0440\u0430\u0432\u0438\u043b\u043e \u041a\u0440\u0430\u043c\u0435\u0440\u0430 \u0433\u043b\u0430\u0441\u0438\u0442, &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/ru\/%d0%bf%d1%80%d0%b8%d0%bc%d0%b5%d1%80%d1%8b-%d0%bf%d1%80%d0%b0%d0%b2%d0%b8%d0%bb-%d0%b8-%d1%80%d0%b5%d1%88%d0%b5%d0%bd%d0%bd%d1%8b%d0%b5-%d1%83%d0%bf%d1%80%d0%b0%d0%b6%d0%bd%d0%b5%d0%bd%d0%b8%d1%8f\/\"> <span class=\"screen-reader-text\">\u041f\u0440\u0430\u0432\u0438\u043b\u043e \u043a\u0440\u0430\u043c\u0435\u0440\u0430<\/span> \u0427\u0438\u0442\u0430\u0442\u044c \u0434\u0430\u043b\u0435\u0435 &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":[19],"tags":[],"class_list":["post-307","post","type-post","status-publish","format-standard","hentry","category-19"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.2 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>\u041f\u0440\u0430\u0432\u0438\u043b\u043e \u041a\u0440\u0430\u043c\u0435\u0440\u0430 \u2013 \u043c\u0430\u0442\u043e\u0440\u043d\u043e\u0441\u0442\u044c<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/mathority.org\/ru\/\u043f\u0440\u0438\u043c\u0435\u0440\u044b-\u043f\u0440\u0430\u0432\u0438\u043b-\u0438-\u0440\u0435\u0448\u0435\u043d\u043d\u044b\u0435-\u0443\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u044f\/\" \/>\n<meta property=\"og:locale\" content=\"ru_RU\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"\u041f\u0440\u0430\u0432\u0438\u043b\u043e \u041a\u0440\u0430\u043c\u0435\u0440\u0430 \u2013 \u043c\u0430\u0442\u043e\u0440\u043d\u043e\u0441\u0442\u044c\" \/>\n<meta property=\"og:description\" content=\"\u041d\u0430 \u044d\u0442\u043e\u0439 \u0441\u0442\u0440\u0430\u043d\u0438\u0446\u0435 \u0432\u044b \u0443\u0432\u0438\u0434\u0438\u0442\u0435, \u0447\u0442\u043e \u0442\u0430\u043a\u043e\u0435 \u043f\u0440\u0430\u0432\u0438\u043b\u043e \u041a\u0440\u0430\u043c\u0435\u0440\u0430, \u0430 \u0442\u0430\u043a\u0436\u0435 \u043d\u0430\u0439\u0434\u0435\u0442\u0435 \u043f\u0440\u0438\u043c\u0435\u0440\u044b \u0438 \u0443\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u044f \u0441 \u0440\u0435\u0448\u0435\u043d\u0438\u0435\u043c \u0441\u0438\u0441\u0442\u0435\u043c \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0439 \u043f\u043e \u043f\u0440\u0430\u0432\u0438\u043b\u0443 \u041a\u0440\u0430\u043c\u0435\u0440\u0430. \u0427\u0442\u043e \u0442\u0430\u043a\u043e\u0435 \u043f\u0440\u0430\u0432\u0438\u043b\u043e \u041a\u0440\u0430\u043c\u0435\u0440\u0430? \u041f\u0440\u0430\u0432\u0438\u043b\u043e \u041a\u0440\u0430\u043c\u0435\u0440\u0430 \u2014 \u044d\u0442\u043e \u043c\u0435\u0442\u043e\u0434 \u0440\u0435\u0448\u0435\u043d\u0438\u044f \u0441\u0438\u0441\u0442\u0435\u043c \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0439 \u0441 \u043f\u043e\u043c\u043e\u0449\u044c\u044e \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u0435\u043b\u0435\u0439. \u0414\u0430\u0432\u0430\u0439\u0442\u0435 \u043f\u043e\u0441\u043c\u043e\u0442\u0440\u0438\u043c, \u043a\u0430\u043a \u043e\u043d \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u0443\u0435\u0442\u0441\u044f: \u0420\u0430\u0441\u0441\u043c\u043e\u0442\u0440\u0438\u043c \u0441\u0438\u0441\u0442\u0435\u043c\u0443 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0439: \u041c\u0430\u0442\u0440\u0438\u0446\u0430 A \u0438 \u0440\u0430\u0441\u0448\u0438\u0440\u0435\u043d\u043d\u0430\u044f \u043c\u0430\u0442\u0440\u0438\u0446\u0430 A&#8217; \u0441\u0438\u0441\u0442\u0435\u043c\u044b: \u041f\u0440\u0430\u0432\u0438\u043b\u043e \u041a\u0440\u0430\u043c\u0435\u0440\u0430 \u0433\u043b\u0430\u0441\u0438\u0442, &hellip; \u041f\u0440\u0430\u0432\u0438\u043b\u043e \u043a\u0440\u0430\u043c\u0435\u0440\u0430 \u0427\u0438\u0442\u0430\u0442\u044c \u0434\u0430\u043b\u0435\u0435 &raquo;\" \/>\n<meta property=\"og:url\" content=\"https:\/\/mathority.org\/ru\/\u043f\u0440\u0438\u043c\u0435\u0440\u044b-\u043f\u0440\u0430\u0432\u0438\u043b-\u0438-\u0440\u0435\u0448\u0435\u043d\u043d\u044b\u0435-\u0443\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u044f\/\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-06T14:13:39+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-e0141f3451719f665ef28e4061489551_l3.png\" \/>\n<meta name=\"author\" content=\"Mathority \u041a\u043e\u043c\u0430\u043d\u0434\u0430\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"\u041d\u0430\u043f\u0438\u0441\u0430\u043d\u043e \u0430\u0432\u0442\u043e\u0440\u043e\u043c\" \/>\n\t<meta name=\"twitter:data1\" content=\"Mathority \u041a\u043e\u043c\u0430\u043d\u0434\u0430\" \/>\n\t<meta name=\"twitter:label2\" content=\"\u041f\u0440\u0438\u043c\u0435\u0440\u043d\u043e\u0435 \u0432\u0440\u0435\u043c\u044f \u0434\u043b\u044f \u0447\u0442\u0435\u043d\u0438\u044f\" \/>\n\t<meta name=\"twitter:data2\" content=\"1 \u043c\u0438\u043d\u0443\u0442\u0430\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"https:\/\/mathority.org\/ru\/%d0%bf%d1%80%d0%b8%d0%bc%d0%b5%d1%80%d1%8b-%d0%bf%d1%80%d0%b0%d0%b2%d0%b8%d0%bb-%d0%b8-%d1%80%d0%b5%d1%88%d0%b5%d0%bd%d0%bd%d1%8b%d0%b5-%d1%83%d0%bf%d1%80%d0%b0%d0%b6%d0%bd%d0%b5%d0%bd%d0%b8%d1%8f\/#article\",\"isPartOf\":{\"@id\":\"https:\/\/mathority.org\/ru\/%d0%bf%d1%80%d0%b8%d0%bc%d0%b5%d1%80%d1%8b-%d0%bf%d1%80%d0%b0%d0%b2%d0%b8%d0%bb-%d0%b8-%d1%80%d0%b5%d1%88%d0%b5%d0%bd%d0%bd%d1%8b%d0%b5-%d1%83%d0%bf%d1%80%d0%b0%d0%b6%d0%bd%d0%b5%d0%bd%d0%b8%d1%8f\/\"},\"author\":{\"name\":\"Mathority \u041a\u043e\u043c\u0430\u043d\u0434\u0430\",\"@id\":\"https:\/\/mathority.org\/ru\/#\/schema\/person\/69fe5e2ffd89c6227f6a42153bb3655b\"},\"headline\":\"\u041f\u0440\u0430\u0432\u0438\u043b\u043e \u043a\u0440\u0430\u043c\u0435\u0440\u0430\",\"datePublished\":\"2023-07-06T14:13:39+00:00\",\"dateModified\":\"2023-07-06T14:13:39+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\/\/mathority.org\/ru\/%d0%bf%d1%80%d0%b8%d0%bc%d0%b5%d1%80%d1%8b-%d0%bf%d1%80%d0%b0%d0%b2%d0%b8%d0%bb-%d0%b8-%d1%80%d0%b5%d1%88%d0%b5%d0%bd%d0%bd%d1%8b%d0%b5-%d1%83%d0%bf%d1%80%d0%b0%d0%b6%d0%bd%d0%b5%d0%bd%d0%b8%d1%8f\/\"},\"wordCount\":1590,\"commentCount\":0,\"publisher\":{\"@id\":\"https:\/\/mathority.org\/ru\/#organization\"},\"articleSection\":[\"\u0421\u0438\u0441\u0442\u0435\u043c\u044b \u043e\u0431\u0440\u0430\u0437\u043e\u0432\u0430\u043d\u0438\u044f\"],\"inLanguage\":\"ru-RU\",\"potentialAction\":[{\"@type\":\"CommentAction\",\"name\":\"Comment\",\"target\":[\"https:\/\/mathority.org\/ru\/%d0%bf%d1%80%d0%b8%d0%bc%d0%b5%d1%80%d1%8b-%d0%bf%d1%80%d0%b0%d0%b2%d0%b8%d0%bb-%d0%b8-%d1%80%d0%b5%d1%88%d0%b5%d0%bd%d0%bd%d1%8b%d0%b5-%d1%83%d0%bf%d1%80%d0%b0%d0%b6%d0%bd%d0%b5%d0%bd%d0%b8%d1%8f\/#respond\"]}]},{\"@type\":\"WebPage\",\"@id\":\"https:\/\/mathority.org\/ru\/%d0%bf%d1%80%d0%b8%d0%bc%d0%b5%d1%80%d1%8b-%d0%bf%d1%80%d0%b0%d0%b2%d0%b8%d0%bb-%d0%b8-%d1%80%d0%b5%d1%88%d0%b5%d0%bd%d0%bd%d1%8b%d0%b5-%d1%83%d0%bf%d1%80%d0%b0%d0%b6%d0%bd%d0%b5%d0%bd%d0%b8%d1%8f\/\",\"url\":\"https:\/\/mathority.org\/ru\/%d0%bf%d1%80%d0%b8%d0%bc%d0%b5%d1%80%d1%8b-%d0%bf%d1%80%d0%b0%d0%b2%d0%b8%d0%bb-%d0%b8-%d1%80%d0%b5%d1%88%d0%b5%d0%bd%d0%bd%d1%8b%d0%b5-%d1%83%d0%bf%d1%80%d0%b0%d0%b6%d0%bd%d0%b5%d0%bd%d0%b8%d1%8f\/\",\"name\":\"\u041f\u0440\u0430\u0432\u0438\u043b\u043e \u041a\u0440\u0430\u043c\u0435\u0440\u0430 \u2013 \u043c\u0430\u0442\u043e\u0440\u043d\u043e\u0441\u0442\u044c\",\"isPartOf\":{\"@id\":\"https:\/\/mathority.org\/ru\/#website\"},\"datePublished\":\"2023-07-06T14:13:39+00:00\",\"dateModified\":\"2023-07-06T14:13:39+00:00\",\"breadcrumb\":{\"@id\":\"https:\/\/mathority.org\/ru\/%d0%bf%d1%80%d0%b8%d0%bc%d0%b5%d1%80%d1%8b-%d0%bf%d1%80%d0%b0%d0%b2%d0%b8%d0%bb-%d0%b8-%d1%80%d0%b5%d1%88%d0%b5%d0%bd%d0%bd%d1%8b%d0%b5-%d1%83%d0%bf%d1%80%d0%b0%d0%b6%d0%bd%d0%b5%d0%bd%d0%b8%d1%8f\/#breadcrumb\"},\"inLanguage\":\"ru-RU\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/mathority.org\/ru\/%d0%bf%d1%80%d0%b8%d0%bc%d0%b5%d1%80%d1%8b-%d0%bf%d1%80%d0%b0%d0%b2%d0%b8%d0%bb-%d0%b8-%d1%80%d0%b5%d1%88%d0%b5%d0%bd%d0%bd%d1%8b%d0%b5-%d1%83%d0%bf%d1%80%d0%b0%d0%b6%d0%bd%d0%b5%d0%bd%d0%b8%d1%8f\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/mathority.org\/ru\/%d0%bf%d1%80%d0%b8%d0%bc%d0%b5%d1%80%d1%8b-%d0%bf%d1%80%d0%b0%d0%b2%d0%b8%d0%bb-%d0%b8-%d1%80%d0%b5%d1%88%d0%b5%d0%bd%d0%bd%d1%8b%d0%b5-%d1%83%d0%bf%d1%80%d0%b0%d0%b6%d0%bd%d0%b5%d0%bd%d0%b8%d1%8f\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\/\/mathority.org\/ru\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"\u041f\u0440\u0430\u0432\u0438\u043b\u043e \u043a\u0440\u0430\u043c\u0435\u0440\u0430\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/mathority.org\/ru\/#website\",\"url\":\"https:\/\/mathority.org\/ru\/\",\"name\":\"Mathority\",\"description\":\"\u0413\u0434\u0435 \u043b\u044e\u0431\u043e\u043f\u044b\u0442\u0441\u0442\u0432\u043e \u0432\u0441\u0442\u0440\u0435\u0447\u0430\u0435\u0442\u0441\u044f \u0441 \u0440\u0430\u0441\u0447\u0435\u0442\u043e\u043c!\",\"publisher\":{\"@id\":\"https:\/\/mathority.org\/ru\/#organization\"},\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/mathority.org\/ru\/?s={search_term_string}\"},\"query-input\":\"required name=search_term_string\"}],\"inLanguage\":\"ru-RU\"},{\"@type\":\"Organization\",\"@id\":\"https:\/\/mathority.org\/ru\/#organization\",\"name\":\"Mathority\",\"url\":\"https:\/\/mathority.org\/ru\/\",\"logo\":{\"@type\":\"ImageObject\",\"inLanguage\":\"ru-RU\",\"@id\":\"https:\/\/mathority.org\/ru\/#\/schema\/logo\/image\/\",\"url\":\"https:\/\/mathority.org\/ru\/wp-content\/uploads\/2023\/10\/mathority-logo.png\",\"contentUrl\":\"https:\/\/mathority.org\/ru\/wp-content\/uploads\/2023\/10\/mathority-logo.png\",\"width\":703,\"height\":151,\"caption\":\"Mathority\"},\"image\":{\"@id\":\"https:\/\/mathority.org\/ru\/#\/schema\/logo\/image\/\"}},{\"@type\":\"Person\",\"@id\":\"https:\/\/mathority.org\/ru\/#\/schema\/person\/69fe5e2ffd89c6227f6a42153bb3655b\",\"name\":\"Mathority \u041a\u043e\u043c\u0430\u043d\u0434\u0430\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"ru-RU\",\"@id\":\"https:\/\/mathority.org\/ru\/#\/schema\/person\/image\/\",\"url\":\"https:\/\/secure.gravatar.com\/avatar\/8a35e4c8616d1c34c03ca02862b580f4372c5650665668489db53a09579bbc4f?s=96&d=mm&r=g\",\"contentUrl\":\"https:\/\/secure.gravatar.com\/avatar\/8a35e4c8616d1c34c03ca02862b580f4372c5650665668489db53a09579bbc4f?s=96&d=mm&r=g\",\"caption\":\"Mathority \u041a\u043e\u043c\u0430\u043d\u0434\u0430\"},\"sameAs\":[\"http:\/\/mathority.org\/ru\"]}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"\u041f\u0440\u0430\u0432\u0438\u043b\u043e \u041a\u0440\u0430\u043c\u0435\u0440\u0430 \u2013 \u043c\u0430\u0442\u043e\u0440\u043d\u043e\u0441\u0442\u044c","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/mathority.org\/ru\/\u043f\u0440\u0438\u043c\u0435\u0440\u044b-\u043f\u0440\u0430\u0432\u0438\u043b-\u0438-\u0440\u0435\u0448\u0435\u043d\u043d\u044b\u0435-\u0443\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u044f\/","og_locale":"ru_RU","og_type":"article","og_title":"\u041f\u0440\u0430\u0432\u0438\u043b\u043e \u041a\u0440\u0430\u043c\u0435\u0440\u0430 \u2013 \u043c\u0430\u0442\u043e\u0440\u043d\u043e\u0441\u0442\u044c","og_description":"\u041d\u0430 \u044d\u0442\u043e\u0439 \u0441\u0442\u0440\u0430\u043d\u0438\u0446\u0435 \u0432\u044b \u0443\u0432\u0438\u0434\u0438\u0442\u0435, \u0447\u0442\u043e \u0442\u0430\u043a\u043e\u0435 \u043f\u0440\u0430\u0432\u0438\u043b\u043e \u041a\u0440\u0430\u043c\u0435\u0440\u0430, \u0430 \u0442\u0430\u043a\u0436\u0435 \u043d\u0430\u0439\u0434\u0435\u0442\u0435 \u043f\u0440\u0438\u043c\u0435\u0440\u044b \u0438 \u0443\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u044f \u0441 \u0440\u0435\u0448\u0435\u043d\u0438\u0435\u043c \u0441\u0438\u0441\u0442\u0435\u043c \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0439 \u043f\u043e \u043f\u0440\u0430\u0432\u0438\u043b\u0443 \u041a\u0440\u0430\u043c\u0435\u0440\u0430. \u0427\u0442\u043e \u0442\u0430\u043a\u043e\u0435 \u043f\u0440\u0430\u0432\u0438\u043b\u043e \u041a\u0440\u0430\u043c\u0435\u0440\u0430? \u041f\u0440\u0430\u0432\u0438\u043b\u043e \u041a\u0440\u0430\u043c\u0435\u0440\u0430 \u2014 \u044d\u0442\u043e \u043c\u0435\u0442\u043e\u0434 \u0440\u0435\u0448\u0435\u043d\u0438\u044f \u0441\u0438\u0441\u0442\u0435\u043c \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0439 \u0441 \u043f\u043e\u043c\u043e\u0449\u044c\u044e \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u0435\u043b\u0435\u0439. \u0414\u0430\u0432\u0430\u0439\u0442\u0435 \u043f\u043e\u0441\u043c\u043e\u0442\u0440\u0438\u043c, \u043a\u0430\u043a \u043e\u043d \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u0443\u0435\u0442\u0441\u044f: \u0420\u0430\u0441\u0441\u043c\u043e\u0442\u0440\u0438\u043c \u0441\u0438\u0441\u0442\u0435\u043c\u0443 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0439: \u041c\u0430\u0442\u0440\u0438\u0446\u0430 A \u0438 \u0440\u0430\u0441\u0448\u0438\u0440\u0435\u043d\u043d\u0430\u044f \u043c\u0430\u0442\u0440\u0438\u0446\u0430 A&#8217; \u0441\u0438\u0441\u0442\u0435\u043c\u044b: \u041f\u0440\u0430\u0432\u0438\u043b\u043e \u041a\u0440\u0430\u043c\u0435\u0440\u0430 \u0433\u043b\u0430\u0441\u0438\u0442, &hellip; \u041f\u0440\u0430\u0432\u0438\u043b\u043e \u043a\u0440\u0430\u043c\u0435\u0440\u0430 \u0427\u0438\u0442\u0430\u0442\u044c \u0434\u0430\u043b\u0435\u0435 &raquo;","og_url":"https:\/\/mathority.org\/ru\/\u043f\u0440\u0438\u043c\u0435\u0440\u044b-\u043f\u0440\u0430\u0432\u0438\u043b-\u0438-\u0440\u0435\u0448\u0435\u043d\u043d\u044b\u0435-\u0443\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u044f\/","article_published_time":"2023-07-06T14:13:39+00:00","og_image":[{"url":"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-e0141f3451719f665ef28e4061489551_l3.png"}],"author":"Mathority \u041a\u043e\u043c\u0430\u043d\u0434\u0430","twitter_card":"summary_large_image","twitter_misc":{"\u041d\u0430\u043f\u0438\u0441\u0430\u043d\u043e \u0430\u0432\u0442\u043e\u0440\u043e\u043c":"Mathority \u041a\u043e\u043c\u0430\u043d\u0434\u0430","\u041f\u0440\u0438\u043c\u0435\u0440\u043d\u043e\u0435 \u0432\u0440\u0435\u043c\u044f \u0434\u043b\u044f \u0447\u0442\u0435\u043d\u0438\u044f":"1 \u043c\u0438\u043d\u0443\u0442\u0430"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"Article","@id":"https:\/\/mathority.org\/ru\/%d0%bf%d1%80%d0%b8%d0%bc%d0%b5%d1%80%d1%8b-%d0%bf%d1%80%d0%b0%d0%b2%d0%b8%d0%bb-%d0%b8-%d1%80%d0%b5%d1%88%d0%b5%d0%bd%d0%bd%d1%8b%d0%b5-%d1%83%d0%bf%d1%80%d0%b0%d0%b6%d0%bd%d0%b5%d0%bd%d0%b8%d1%8f\/#article","isPartOf":{"@id":"https:\/\/mathority.org\/ru\/%d0%bf%d1%80%d0%b8%d0%bc%d0%b5%d1%80%d1%8b-%d0%bf%d1%80%d0%b0%d0%b2%d0%b8%d0%bb-%d0%b8-%d1%80%d0%b5%d1%88%d0%b5%d0%bd%d0%bd%d1%8b%d0%b5-%d1%83%d0%bf%d1%80%d0%b0%d0%b6%d0%bd%d0%b5%d0%bd%d0%b8%d1%8f\/"},"author":{"name":"Mathority \u041a\u043e\u043c\u0430\u043d\u0434\u0430","@id":"https:\/\/mathority.org\/ru\/#\/schema\/person\/69fe5e2ffd89c6227f6a42153bb3655b"},"headline":"\u041f\u0440\u0430\u0432\u0438\u043b\u043e \u043a\u0440\u0430\u043c\u0435\u0440\u0430","datePublished":"2023-07-06T14:13:39+00:00","dateModified":"2023-07-06T14:13:39+00:00","mainEntityOfPage":{"@id":"https:\/\/mathority.org\/ru\/%d0%bf%d1%80%d0%b8%d0%bc%d0%b5%d1%80%d1%8b-%d0%bf%d1%80%d0%b0%d0%b2%d0%b8%d0%bb-%d0%b8-%d1%80%d0%b5%d1%88%d0%b5%d0%bd%d0%bd%d1%8b%d0%b5-%d1%83%d0%bf%d1%80%d0%b0%d0%b6%d0%bd%d0%b5%d0%bd%d0%b8%d1%8f\/"},"wordCount":1590,"commentCount":0,"publisher":{"@id":"https:\/\/mathority.org\/ru\/#organization"},"articleSection":["\u0421\u0438\u0441\u0442\u0435\u043c\u044b \u043e\u0431\u0440\u0430\u0437\u043e\u0432\u0430\u043d\u0438\u044f"],"inLanguage":"ru-RU","potentialAction":[{"@type":"CommentAction","name":"Comment","target":["https:\/\/mathority.org\/ru\/%d0%bf%d1%80%d0%b8%d0%bc%d0%b5%d1%80%d1%8b-%d0%bf%d1%80%d0%b0%d0%b2%d0%b8%d0%bb-%d0%b8-%d1%80%d0%b5%d1%88%d0%b5%d0%bd%d0%bd%d1%8b%d0%b5-%d1%83%d0%bf%d1%80%d0%b0%d0%b6%d0%bd%d0%b5%d0%bd%d0%b8%d1%8f\/#respond"]}]},{"@type":"WebPage","@id":"https:\/\/mathority.org\/ru\/%d0%bf%d1%80%d0%b8%d0%bc%d0%b5%d1%80%d1%8b-%d0%bf%d1%80%d0%b0%d0%b2%d0%b8%d0%bb-%d0%b8-%d1%80%d0%b5%d1%88%d0%b5%d0%bd%d0%bd%d1%8b%d0%b5-%d1%83%d0%bf%d1%80%d0%b0%d0%b6%d0%bd%d0%b5%d0%bd%d0%b8%d1%8f\/","url":"https:\/\/mathority.org\/ru\/%d0%bf%d1%80%d0%b8%d0%bc%d0%b5%d1%80%d1%8b-%d0%bf%d1%80%d0%b0%d0%b2%d0%b8%d0%bb-%d0%b8-%d1%80%d0%b5%d1%88%d0%b5%d0%bd%d0%bd%d1%8b%d0%b5-%d1%83%d0%bf%d1%80%d0%b0%d0%b6%d0%bd%d0%b5%d0%bd%d0%b8%d1%8f\/","name":"\u041f\u0440\u0430\u0432\u0438\u043b\u043e \u041a\u0440\u0430\u043c\u0435\u0440\u0430 \u2013 \u043c\u0430\u0442\u043e\u0440\u043d\u043e\u0441\u0442\u044c","isPartOf":{"@id":"https:\/\/mathority.org\/ru\/#website"},"datePublished":"2023-07-06T14:13:39+00:00","dateModified":"2023-07-06T14:13:39+00:00","breadcrumb":{"@id":"https:\/\/mathority.org\/ru\/%d0%bf%d1%80%d0%b8%d0%bc%d0%b5%d1%80%d1%8b-%d0%bf%d1%80%d0%b0%d0%b2%d0%b8%d0%bb-%d0%b8-%d1%80%d0%b5%d1%88%d0%b5%d0%bd%d0%bd%d1%8b%d0%b5-%d1%83%d0%bf%d1%80%d0%b0%d0%b6%d0%bd%d0%b5%d0%bd%d0%b8%d1%8f\/#breadcrumb"},"inLanguage":"ru-RU","potentialAction":[{"@type":"ReadAction","target":["https:\/\/mathority.org\/ru\/%d0%bf%d1%80%d0%b8%d0%bc%d0%b5%d1%80%d1%8b-%d0%bf%d1%80%d0%b0%d0%b2%d0%b8%d0%bb-%d0%b8-%d1%80%d0%b5%d1%88%d0%b5%d0%bd%d0%bd%d1%8b%d0%b5-%d1%83%d0%bf%d1%80%d0%b0%d0%b6%d0%bd%d0%b5%d0%bd%d0%b8%d1%8f\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/mathority.org\/ru\/%d0%bf%d1%80%d0%b8%d0%bc%d0%b5%d1%80%d1%8b-%d0%bf%d1%80%d0%b0%d0%b2%d0%b8%d0%bb-%d0%b8-%d1%80%d0%b5%d1%88%d0%b5%d0%bd%d0%bd%d1%8b%d0%b5-%d1%83%d0%bf%d1%80%d0%b0%d0%b6%d0%bd%d0%b5%d0%bd%d0%b8%d1%8f\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/mathority.org\/ru\/"},{"@type":"ListItem","position":2,"name":"\u041f\u0440\u0430\u0432\u0438\u043b\u043e \u043a\u0440\u0430\u043c\u0435\u0440\u0430"}]},{"@type":"WebSite","@id":"https:\/\/mathority.org\/ru\/#website","url":"https:\/\/mathority.org\/ru\/","name":"Mathority","description":"\u0413\u0434\u0435 \u043b\u044e\u0431\u043e\u043f\u044b\u0442\u0441\u0442\u0432\u043e \u0432\u0441\u0442\u0440\u0435\u0447\u0430\u0435\u0442\u0441\u044f \u0441 \u0440\u0430\u0441\u0447\u0435\u0442\u043e\u043c!","publisher":{"@id":"https:\/\/mathority.org\/ru\/#organization"},"potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/mathority.org\/ru\/?s={search_term_string}"},"query-input":"required name=search_term_string"}],"inLanguage":"ru-RU"},{"@type":"Organization","@id":"https:\/\/mathority.org\/ru\/#organization","name":"Mathority","url":"https:\/\/mathority.org\/ru\/","logo":{"@type":"ImageObject","inLanguage":"ru-RU","@id":"https:\/\/mathority.org\/ru\/#\/schema\/logo\/image\/","url":"https:\/\/mathority.org\/ru\/wp-content\/uploads\/2023\/10\/mathority-logo.png","contentUrl":"https:\/\/mathority.org\/ru\/wp-content\/uploads\/2023\/10\/mathority-logo.png","width":703,"height":151,"caption":"Mathority"},"image":{"@id":"https:\/\/mathority.org\/ru\/#\/schema\/logo\/image\/"}},{"@type":"Person","@id":"https:\/\/mathority.org\/ru\/#\/schema\/person\/69fe5e2ffd89c6227f6a42153bb3655b","name":"Mathority \u041a\u043e\u043c\u0430\u043d\u0434\u0430","image":{"@type":"ImageObject","inLanguage":"ru-RU","@id":"https:\/\/mathority.org\/ru\/#\/schema\/person\/image\/","url":"https:\/\/secure.gravatar.com\/avatar\/8a35e4c8616d1c34c03ca02862b580f4372c5650665668489db53a09579bbc4f?s=96&d=mm&r=g","contentUrl":"https:\/\/secure.gravatar.com\/avatar\/8a35e4c8616d1c34c03ca02862b580f4372c5650665668489db53a09579bbc4f?s=96&d=mm&r=g","caption":"Mathority \u041a\u043e\u043c\u0430\u043d\u0434\u0430"},"sameAs":["http:\/\/mathority.org\/ru"]}]}},"yoast_meta":{"yoast_wpseo_title":"","yoast_wpseo_metadesc":"","yoast_wpseo_canonical":""},"_links":{"self":[{"href":"https:\/\/mathority.org\/ru\/wp-json\/wp\/v2\/posts\/307","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/mathority.org\/ru\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/mathority.org\/ru\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/mathority.org\/ru\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/mathority.org\/ru\/wp-json\/wp\/v2\/comments?post=307"}],"version-history":[{"count":0,"href":"https:\/\/mathority.org\/ru\/wp-json\/wp\/v2\/posts\/307\/revisions"}],"wp:attachment":[{"href":"https:\/\/mathority.org\/ru\/wp-json\/wp\/v2\/media?parent=307"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mathority.org\/ru\/wp-json\/wp\/v2\/categories?post=307"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mathority.org\/ru\/wp-json\/wp\/v2\/tags?post=307"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}