{"id":305,"date":"2023-07-06T14:52:33","date_gmt":"2023-07-06T14:52:33","guid":{"rendered":"https:\/\/mathority.org\/ru\/%d1%82%d0%b5%d0%be%d1%80%d0%b5%d0%bc%d0%b0-%d0%b4%d0%b5-%d1%80%d1%83%d1%88%d0%b0-%d1%84%d1%80%d0%be%d0%b1%d0%b5%d0%bd%d0%b8%d1%83%d1%81%d0%b0-%d1%81-%d0%bf%d1%80%d0%b8%d0%bc%d0%b5%d1%80%d0%b0%d0%bc\/"},"modified":"2023-07-06T14:52:33","modified_gmt":"2023-07-06T14:52:33","slug":"%d1%82%d0%b5%d0%be%d1%80%d0%b5%d0%bc%d0%b0-%d0%b4%d0%b5-%d1%80%d1%83%d1%88%d0%b0-%d1%84%d1%80%d0%be%d0%b1%d0%b5%d0%bd%d0%b8%d1%83%d1%81%d0%b0-%d1%81-%d0%bf%d1%80%d0%b8%d0%bc%d0%b5%d1%80%d0%b0%d0%bc","status":"publish","type":"post","link":"https:\/\/mathority.org\/ru\/%d1%82%d0%b5%d0%be%d1%80%d0%b5%d0%bc%d0%b0-%d0%b4%d0%b5-%d1%80%d1%83%d1%88%d0%b0-%d1%84%d1%80%d0%be%d0%b1%d0%b5%d0%bd%d0%b8%d1%83%d1%81%d0%b0-%d1%81-%d0%bf%d1%80%d0%b8%d0%bc%d0%b5%d1%80%d0%b0%d0%bc\/","title":{"rendered":"\u0422\u0435\u043e\u0440\u0435\u043c\u0430 \u0440\u0443\u0448\u0430 \u2013 \u0444\u0440\u0435\u0431\u0435\u043d\u0438\u0443\u0441\u0430"},"content":{"rendered":"<p>\u041d\u0430 \u044d\u0442\u043e\u0439 \u0441\u0442\u0440\u0430\u043d\u0438\u0446\u0435 \u043c\u044b \u0443\u0437\u043d\u0430\u0435\u043c, \u0447\u0442\u043e \u0442\u0430\u043a\u043e\u0435 <strong>\u0442\u0435\u043e\u0440\u0435\u043c\u0430 \u0420\u0443\u0448\u0435 \u0424\u0440\u043e\u0431\u0435\u043d\u0438\u0443\u0441\u0430<\/strong> \u0438 \u043a\u0430\u043a \u0441 \u0435\u0435 \u043f\u043e\u043c\u043e\u0449\u044c\u044e \u0432\u044b\u0447\u0438\u0441\u043b\u0438\u0442\u044c \u0440\u0430\u043d\u0433 \u043c\u0430\u0442\u0440\u0438\u0446\u044b. \u0412\u044b \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, \u043f\u043e\u0448\u0430\u0433\u043e\u0432\u043e \u0440\u0435\u0448\u0430\u0435\u043c\u044b\u0435 \u0441 \u043f\u043e\u043c\u043e\u0449\u044c\u044e \u0442\u0435\u043e\u0440\u0435\u043c\u044b \u0420\u0443\u0448\u0435-\u0424\u0440\u043e\u0431\u0435\u043d\u0438\u0443\u0441\u0430.<\/p>\n<h2 class=\"wp-block-heading\"> \u0427\u0442\u043e \u0442\u0430\u043a\u043e\u0435 \u0442\u0435\u043e\u0440\u0435\u043c\u0430 \u0420\u0443\u0448\u0435\u2013\u0424\u0440\u043e\u0431\u0435\u043d\u0438\u0443\u0441\u0430?<\/h2>\n<p> <strong>\u0422\u0435\u043e\u0440\u0435\u043c\u0430 \u0420\u0443\u0448\u0435-\u0424\u0440\u043e\u0431\u0435\u043d\u0438\u0443\u0441\u0430 \u2014 \u044d\u0442\u043e \u043c\u0435\u0442\u043e\u0434 \u043a\u043b\u0430\u0441\u0441\u0438\u0444\u0438\u043a\u0430\u0446\u0438\u0438 \u0441\u0438\u0441\u0442\u0435\u043c \u043b\u0438\u043d\u0435\u0439\u043d\u044b\u0445 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0439.<\/strong> \u0414\u0440\u0443\u0433\u0438\u043c\u0438 \u0441\u043b\u043e\u0432\u0430\u043c\u0438, \u0442\u0435\u043e\u0440\u0435\u043c\u0430 \u0420\u0443\u0448\u0435-\u0424\u0440\u043e\u0431\u0435\u043d\u0438\u0443\u0441\u0430 \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u0443\u0435\u0442\u0441\u044f \u0434\u043b\u044f \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u044f \u043a\u043e\u043b\u0438\u0447\u0435\u0441\u0442\u0432\u0430 \u0440\u0435\u0448\u0435\u043d\u0438\u0439 \u0441\u0438\u0441\u0442\u0435\u043c\u044b \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0439 \u0431\u0435\u0437 \u043d\u0435\u043e\u0431\u0445\u043e\u0434\u0438\u043c\u043e\u0441\u0442\u0438 \u0435\u0435 \u0440\u0435\u0448\u0435\u043d\u0438\u044f.<\/p>\n<p> \u0421\u0443\u0449\u0435\u0441\u0442\u0432\u0443\u0435\u0442 3 \u0442\u0438\u043f\u0430 \u0441\u0438\u0441\u0442\u0435\u043c \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0439:<\/p>\n<ul>\n<li> <strong>\u041e\u043f\u0440\u0435\u0434\u0435\u043b\u044f\u0435\u043c\u0430\u044f \u0441\u043e\u0432\u043c\u0435\u0441\u0442\u0438\u043c\u043e\u0441\u0442\u044c \u0441\u0438\u0441\u0442\u0435\u043c\u044b (SCD):<\/strong> \u0441\u0438\u0441\u0442\u0435\u043c\u0430 \u0438\u043c\u0435\u0435\u0442 \u0443\u043d\u0438\u043a\u0430\u043b\u044c\u043d\u043e\u0435 \u0440\u0435\u0448\u0435\u043d\u0438\u0435.<\/li>\n<li> <strong>\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):<\/strong> \u0441\u0438\u0441\u0442\u0435\u043c\u0430 \u0438\u043c\u0435\u0435\u0442 \u0431\u0435\u0441\u043a\u043e\u043d\u0435\u0447\u043d\u043e\u0435 \u043a\u043e\u043b\u0438\u0447\u0435\u0441\u0442\u0432\u043e \u0440\u0435\u0448\u0435\u043d\u0438\u0439.<\/li>\n<li> <strong>\u041d\u0435\u0441\u043e\u0432\u043c\u0435\u0441\u0442\u0438\u043c\u043e\u0441\u0442\u044c \u0441\u0438\u0441\u0442\u0435\u043c\u044b (SI):<\/strong> \u0441\u0438\u0441\u0442\u0435\u043c\u0430 \u043d\u0435 \u0438\u043c\u0435\u0435\u0442 \u0440\u0435\u0448\u0435\u043d\u0438\u044f.<\/li>\n<\/ul>\n<p> \u041a\u0440\u043e\u043c\u0435 \u0442\u043e\u0433\u043e, \u0442\u0435\u043e\u0440\u0435\u043c\u0430 \u0420\u0443\u0448\u0435-\u0424\u0440\u043e\u0431\u0435\u043d\u0438\u0443\u0441\u0430 \u043f\u043e\u0437\u0436\u0435 \u043f\u043e\u0437\u0432\u043e\u043b\u0438\u0442 \u043d\u0430\u043c  \u0440\u0435\u0448\u0430\u0442\u044c \u0441\u0438\u0441\u0442\u0435\u043c\u044b \u0441 \u043f\u043e\u043c\u043e\u0449\u044c\u044e \u043f\u0440\u0430\u0432\u0438\u043b\u0430 \u041a\u0440\u0430\u043c\u0435\u0440\u0430  .<\/p>\n<h2 class=\"wp-block-heading\"> \u0424\u043e\u0440\u043c\u0443\u043b\u0438\u0440\u043e\u0432\u043a\u0430 \u0442\u0435\u043e\u0440\u0435\u043c\u044b \u0420\u0443\u0448\u0435-\u0424\u0440\u043e\u0431\u0435\u043d\u0438\u0443\u0441\u0430<\/h2>\n<p> \u0422\u0435\u043e\u0440\u0435\u043c\u0430 \u0420\u0443\u0448\u0435-\u0424\u0440\u043e\u0431\u0435\u043d\u0438\u0443\u0441\u0430 \u0433\u043b\u0430\u0441\u0438\u0442, \u0447\u0442\u043e<\/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-bd767a13412c19de65e75a6826caee08_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\bm{A}\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"13\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u2013 \u043c\u0430\u0442\u0440\u0438\u0446\u0430, \u043e\u0431\u0440\u0430\u0437\u043e\u0432\u0430\u043d\u043d\u0430\u044f \u043a\u043e\u044d\u0444\u0444\u0438\u0446\u0438\u0435\u043d\u0442\u0430\u043c\u0438 \u043f\u0440\u0438 \u043d\u0435\u0438\u0437\u0432\u0435\u0441\u0442\u043d\u044b\u0445 \u0441\u0438\u0441\u0442\u0435\u043c\u044b \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0439. \u0438 \u0436\u0438\u0432\u043e\u0442<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-bf22ad0d457d763be692e97f3bcdf221_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\bm{A'}\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"17\" style=\"vertical-align: 0px;\"><\/p>\n<p> , \u0438\u043b\u0438 <strong>\u0440\u0430\u0441\u0448\u0438\u0440\u0435\u043d\u043d\u0430\u044f \u043c\u0430\u0442\u0440\u0438\u0446\u0430<\/strong> , \u043f\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u043b\u044f\u0435\u0442 \u0441\u043e\u0431\u043e\u0439 \u043c\u0430\u0442\u0440\u0438\u0446\u0443, \u043e\u0431\u0440\u0430\u0437\u043e\u0432\u0430\u043d\u043d\u0443\u044e \u043a\u043e\u044d\u0444\u0444\u0438\u0446\u0438\u0435\u043d\u0442\u0430\u043c\u0438 \u043d\u0435\u0438\u0437\u0432\u0435\u0441\u0442\u043d\u044b\u0445 \u0441\u0438\u0441\u0442\u0435\u043c\u044b \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0439 \u0438 \u043d\u0435\u0437\u0430\u0432\u0438\u0441\u0438\u043c\u044b\u043c\u0438 \u0447\u043b\u0435\u043d\u0430\u043c\u0438: <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><\/figure>\n<\/div>\n<div style=\"background-color:#dff6ff;padding-top: 20px; padding-bottom: 0.5px; padding-right: 40px; padding-left: 30px\" class=\"has-background\">\n<p align=\"LEFT\" style=\"margin-bottom:20px\"> <strong>\u0422\u0435\u043e\u0440\u0435\u043c\u0430 \u0420\u0443\u0448\u0435-\u0424\u0440\u043e\u0431\u0435\u043d\u0438\u0443\u0441\u0430<\/strong> \u043f\u043e\u0437\u0432\u043e\u043b\u044f\u0435\u0442 \u043d\u0430\u043c \u0443\u0437\u043d\u0430\u0442\u044c, \u0441 \u043a\u0430\u043a\u043e\u0439 \u0441\u0438\u0441\u0442\u0435\u043c\u043e\u0439 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0439 \u043c\u044b \u0438\u043c\u0435\u0435\u043c \u0434\u0435\u043b\u043e, \u0432 \u0437\u0430\u0432\u0438\u0441\u0438\u043c\u043e\u0441\u0442\u0438 \u043e\u0442 \u0440\u0430\u043d\u0433\u0430 \u043c\u0430\u0442\u0440\u0438\u0446 A \u0438 A&#8217;:<\/p>\n<ul style=\"color:#E53935; font-weight: bold;\">\n<li style=\"margin-bottom:20px\"> <span style=\"color:#000000;font-weight: normal;\">\u0415\u0441\u043b\u0438 \u0440\u0430\u043d\u0433(A) = \u0440\u0430\u043d\u0433(A&#8217;) = \u043a\u043e\u043b\u0438\u0447\u0435\u0441\u0442\u0432\u043e \u043d\u0435\u0438\u0437\u0432\u0435\u0441\u0442\u043d\u044b\u0445 \u27f6 \u041e\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).<\/span><\/li>\n<li style=\"margin-bottom:20px;\"> <span style=\"color:#000000;font-weight: normal;\">\u0415\u0441\u043b\u0438 \u0440\u0430\u043d\u0433(A) = \u0440\u0430\u043d\u0433(A&#8217;) &lt;\u043a\u043e\u043b\u0438\u0447\u0435\u0441\u0442\u0432\u043e \u043d\u0435\u0438\u0437\u0432\u0435\u0441\u0442\u043d\u044b\u0445 \u27f6 \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 (SCI).<\/span><\/li>\n<li> <span style=\"color:#000000;font-weight: normal;\">\u0435\u0441\u043b\u0438 \u0434\u0438\u0430\u043f\u0430\u0437\u043e\u043d (\u0410)\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-be0e48d5500c7e73c450241ea2197789_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{\\neq}\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"13\" style=\"vertical-align: -4px;\"><\/p>\n<p><\/span> \u0434\u0438\u0430\u043f\u0430\u0437\u043e\u043d (A&#8217;) \u27f6 \u041d\u0435\u0441\u043e\u0432\u043c\u0435\u0441\u0442\u0438\u043c\u0430\u044f \u0441\u0438\u0441\u0442\u0435\u043c\u0430 (SI)<\/li>\n<\/ul>\n<\/div>\n<p> \u041a\u0430\u043a \u0442\u043e\u043b\u044c\u043a\u043e \u043c\u044b \u0443\u0437\u043d\u0430\u0435\u043c, \u0447\u0442\u043e \u0433\u043e\u0432\u043e\u0440\u0438\u0442 \u0442\u0435\u043e\u0440\u0435\u043c\u0430 \u0420\u0443\u0448\u0435-\u0424\u0440\u043e\u0431\u0435\u043d\u0438\u0443\u0441\u0430, \u043c\u044b \u0443\u0432\u0438\u0434\u0438\u043c, \u043a\u0430\u043a \u0440\u0435\u0448\u0430\u0442\u044c \u0443\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u044f \u043f\u043e \u0442\u0435\u043e\u0440\u0435\u043c\u0435 \u0420\u0443\u0448\u0435-\u0424\u0440\u043e\u0431\u0435\u043d\u0438\u0443\u0441\u0430. \u0412\u043e\u0442 3 \u043f\u0440\u0438\u043c\u0435\u0440\u0430: \u0443\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u0435, \u0440\u0435\u0448\u0435\u043d\u043d\u043e\u0435 \u0441 \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u043e\u0432\u0430\u043d\u0438\u0435\u043c \u0442\u0435\u043e\u0440\u0435\u043c\u044b \u043a\u0430\u0436\u0434\u043e\u0433\u043e \u0442\u0438\u043f\u0430 \u0441\u0438\u0441\u0442\u0435\u043c\u044b \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0439.<\/p>\n<h2 class=\"wp-block-heading\"> \u041f\u0440\u0438\u043c\u0435\u0440 \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u043d\u043e\u0439 \u0441\u043e\u0432\u043c\u0435\u0441\u0442\u0438\u043c\u043e\u0439 \u0441\u0438\u0441\u0442\u0435\u043c\u044b (SCD)<\/h2>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-b6b2f93c6308c25e8df2fbb5da2af9a8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{cases} 2x+y-3z=0 \\\\[1.5ex] x+2y-z= 1 \\\\[1.5ex] 4x-2y+z = 3\\end{cases}\" title=\"Rendered by QuickLaTeX.com\" height=\"97\" width=\"135\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> <strong>\u041c\u0430\u0442\u0440\u0438\u0446\u0430 A<\/strong> \u0438 <strong>\u0440\u0430\u0441\u0448\u0438\u0440\u0435\u043d\u043d\u0430\u044f \u043c\u0430\u0442\u0440\u0438\u0446\u0430 A&#8217;<\/strong> \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-4597f5171b586bbcf0915d8512f7b89d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  A= \\left( \\begin{array}{ccc} 2 &amp; 1 &amp; -3  \\\\[1.1ex] 1 &amp; 2 &amp; -1  \\\\[1.1ex] 4 &amp; -2 &amp; 1  \\end{array} \\right) \\qquad A'= \\left( \\begin{array}{ccc|c} 2 &amp; 1 &amp; -3 &amp; 0 \\\\[1.1ex] 1 &amp; 2 &amp; -1 &amp; 1  \\\\[1.1ex] 4 &amp; -2 &amp; 1 &amp; 3\\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 \u0432\u044b\u0447\u0438\u0441\u043b\u0438\u043c \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\u0438\u043c, \u043e\u0442\u043b\u0438\u0447\u0430\u0435\u0442\u0441\u044f \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-6c95b7158a2e6401cd16aeb708f128ff_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] 1 &amp; 2 &amp; -1  \\\\[1.1ex] 4 &amp; -2 &amp; 1  \\end{vmatrix} = 25 \\neq 0\" title=\"Rendered by QuickLaTeX.com\" height=\"86\" width=\"219\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> \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 3\u00d73 \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 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> \u041a\u0430\u043a \u0442\u043e\u043b\u044c\u043a\u043e \u043c\u044b \u0443\u0437\u043d\u0430\u0435\u043c \u0440\u0430\u043d\u0433 A, \u043c\u044b \u0432\u044b\u0447\u0438\u0441\u043b\u044f\u0435\u043c \u0440\u0430\u043d\u0433 A&#8217;, \u043a\u043e\u0442\u043e\u0440\u044b\u0439 \u0431\u0443\u0434\u0435\u0442 \u043d\u0435 \u043d\u0438\u0436\u0435 \u0440\u0430\u043d\u0433\u0430 3, \u043f\u043e\u0441\u043a\u043e\u043b\u044c\u043a\u0443 \u043c\u044b \u0442\u043e\u043b\u044c\u043a\u043e \u0447\u0442\u043e \u0432\u0438\u0434\u0435\u043b\u0438, \u0447\u0442\u043e \u043e\u043d \u0438\u043c\u0435\u0435\u0442 \u0432\u043d\u0443\u0442\u0440\u0438 \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. \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 4, \u0442\u0430\u043a \u043a\u0430\u043a \u043c\u044b \u043d\u0435 \u043c\u043e\u0436\u0435\u043c \u0441\u0434\u0435\u043b\u0430\u0442\u044c \u043d\u0438 \u043e\u0434\u043d\u043e\u0433\u043e \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u0435\u043b\u044f \u043f\u043e\u0440\u044f\u0434\u043a\u0430 4. \u0421\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u043e, <strong>\u043c\u0430\u0442\u0440\u0438\u0446\u0430 \u0410&#8217; \u0442\u0430\u043a\u0436\u0435 \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-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> \u0422\u0430\u043a\u0438\u043c \u043e\u0431\u0440\u0430\u0437\u043e\u043c, \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; \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), \u043c\u044b \u0437\u043d\u0430\u0435\u043c \u043f\u043e \u0442\u0435\u043e\u0440\u0435\u043c\u0435 \u0420\u0443\u0448\u0435 \u0424\u0440\u043e\u0431\u0435\u043d\u0438\u0443\u0441\u0430, \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). :<\/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<h2 class=\"wp-block-heading\"> \u041f\u0440\u0438\u043c\u0435\u0440 \u043d\u0435\u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u043d\u043e \u0441\u043e\u0432\u043c\u0435\u0441\u0442\u0438\u043c\u043e\u0439 \u0441\u0438\u0441\u0442\u0435\u043c\u044b (ICS)<\/h2>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-2360b9a47257f73cf3f5dea63fb24098_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{cases} x-y+2z=1 \\\\[1.5ex] 3x+2y+z= 5 \\\\[1.5ex] 2x+3y-z = 4\\end{cases}\" title=\"Rendered by QuickLaTeX.com\" height=\"97\" width=\"135\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> <strong>\u041c\u0430\u0442\u0440\u0438\u0446\u0430 A<\/strong> \u0438 <strong>\u0440\u0430\u0441\u0448\u0438\u0440\u0435\u043d\u043d\u0430\u044f \u043c\u0430\u0442\u0440\u0438\u0446\u0430 A&#8217;<\/strong> \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-b281235e2702433b447e2586ae3092c9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  A= \\left( \\begin{array}{ccc} 1 &amp; -1 &amp; 2  \\\\[1.1ex] 3 &amp; 2 &amp; 1  \\\\[1.1ex] 2 &amp; 3 &amp; -1  \\end{array} \\right) \\qquad A'= \\left( \\begin{array}{ccc|c} 1 &amp; -1 &amp; 2 &amp; 1 \\\\[1.1ex] 3 &amp; 2 &amp; 1 &amp; 5  \\\\[1.1ex] 2 &amp; 3 &amp; -1 &amp; 4 \\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 \u0432\u044b\u0447\u0438\u0441\u043b\u0438\u043c \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\u0438\u043c, \u043e\u0442\u043b\u0438\u0447\u0430\u0435\u0442\u0441\u044f \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-74cafc27ab41134696c3bf263132b98b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\begin{vmatrix}A \\end{vmatrix}= \\begin{vmatrix} 1 &amp; -1 &amp; 2  \\\\[1.1ex] 3 &amp; 2 &amp; 1  \\\\[1.1ex] 2 &amp; 3 &amp; -1 \\end{vmatrix} = 0\" title=\"Rendered by QuickLaTeX.com\" height=\"86\" width=\"178\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> \u041e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u0435\u043b\u044c \u0432\u0441\u0435\u0439 \u043c\u0430\u0442\u0440\u0438\u0446\u044b A \u0434\u0430\u0435\u0442 0, \u043f\u043e\u044d\u0442\u043e\u043c\u0443 \u043e\u043d\u0430 \u043d\u0435 \u0438\u043c\u0435\u0435\u0442 \u0440\u0430\u043d\u0433\u0430 3. \u0427\u0442\u043e\u0431\u044b \u043f\u0440\u043e\u0432\u0435\u0440\u0438\u0442\u044c, \u0438\u043c\u0435\u0435\u0442 \u043b\u0438 \u043e\u043d\u0430 \u0440\u0430\u043d\u0433 2, \u043c\u044b \u0434\u043e\u043b\u0436\u043d\u044b \u043d\u0430\u0439\u0442\u0438 \u0432 A \u043f\u043e\u0434\u043c\u0430\u0442\u0440\u0438\u0446\u0443, \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u0435\u043b\u044c \u043a\u043e\u0442\u043e\u0440\u043e\u0439 \u043e\u0442\u043b\u0438\u0447\u0435\u043d \u043e\u0442 0. \u041d\u0430\u043f\u0440\u0438\u043c\u0435\u0440, \u0442\u0430, \u0447\u0442\u043e \u043d\u0430\u0445\u043e\u0434\u0438\u0442\u0441\u044f \u0432 \u0432\u0435\u0440\u0445\u043d\u0435\u043c \u043b\u0435\u0432\u043e\u043c \u0443\u0433\u043b\u0443 :<\/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-22b2487f7664a70c116593120de2743b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\begin{vmatrix} 1 &amp; -1  \\\\[1.1ex] 3 &amp; 2 \\end{vmatrix} = 5 \\neq 0\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"123\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> \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> \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;. \u041c\u044b \u0443\u0436\u0435 \u0437\u043d\u0430\u0435\u043c, \u0447\u0442\u043e \u043e\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 \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:<\/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-17f264ad3859da88ffa6784be24e4143_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\begin{vmatrix}1 &amp; -1 &amp;  1 \\\\[1.1ex] 3 &amp; 2 &amp; 5  \\\\[1.1ex] 2 &amp; 3 &amp; 4\\end{vmatrix} = 0 \\quad \\begin{vmatrix}1 &amp; 2 &amp; 1 \\\\[1.1ex] 3 &amp;  1 &amp; 5  \\\\[1.1ex] 2 &amp; -1 &amp; 4\\end{vmatrix} = 0 \\quad \\begin{vmatrix} -1 &amp; 2 &amp; 1 \\\\[1.1ex] 2 &amp; 1 &amp; 5  \\\\[1.1ex] 3 &amp; -1 &amp; 4\\end{vmatrix} = 0\" title=\"Rendered by QuickLaTeX.com\" height=\"86\" width=\"404\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> \u0412\u0441\u0435 \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u0435\u043b\u0438 3\u00d73 \u043c\u0430\u0442\u0440\u0438\u0446\u044b A&#8217; \u0440\u0430\u0432\u043d\u044b 0, \u043f\u043e\u044d\u0442\u043e\u043c\u0443 \u043c\u0430\u0442\u0440\u0438\u0446\u0430 A&#8217; \u0442\u0430\u043a\u0436\u0435 \u043d\u0435 \u0431\u0443\u0434\u0435\u0442 \u0438\u043c\u0435\u0442\u044c \u0440\u0430\u043d\u0433 3. \u041e\u0434\u043d\u0430\u043a\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\u0438 \u043f\u043e\u0440\u044f\u0434\u043a\u0430 2, \u043e\u0442\u043b\u0438\u0447\u043d\u043e\u0433\u043e \u043e\u0442 0. \u041d\u0430\u043f\u0440\u0438\u043c\u0435\u0440:<\/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-22b2487f7664a70c116593120de2743b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\begin{vmatrix} 1 &amp; -1  \\\\[1.1ex] 3 &amp; 2 \\end{vmatrix} = 5 \\neq 0\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"123\" style=\"vertical-align: 0px;\"><\/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; \u0431\u0443\u0434\u0435\u0442 \u0438\u043c\u0435\u0442\u044c \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> \u0420\u0430\u0437\u043c\u0435\u0440 \u043c\u0430\u0442\u0440\u0438\u0446\u044b A \u0440\u0430\u0432\u0435\u043d \u0440\u0430\u0437\u043c\u0435\u0440\u0443 \u043c\u0430\u0442\u0440\u0438\u0446\u044b A&#8217;, \u043d\u043e \u043e\u043d \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). \u0421\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u043e, \u0441\u043e\u0433\u043b\u0430\u0441\u043d\u043e \u0442\u0435\u043e\u0440\u0435\u043c\u0435 \u0420\u0443\u0448\u0435-\u0424\u0440\u043e\u0431\u0435\u043d\u0438\u0443\u0441\u0430, \u044d\u0442\u043e <strong>\u043d\u0435\u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u043d\u043e-\u0441\u043e\u0432\u043c\u0435\u0441\u0442\u043d\u0430\u044f \u0441\u0438\u0441\u0442\u0435\u043c\u0430<\/strong> (\u0418\u041d\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<h2 class=\"wp-block-heading\"> \u041f\u0440\u0438\u043c\u0435\u0440 \u043d\u0435\u0441\u043e\u0432\u043c\u0435\u0441\u0442\u0438\u043c\u043e\u0439 \u0441\u0438\u0441\u0442\u0435\u043c\u044b (IS)<\/h2>\n<div class=\"adsb30\" style=\" margin:px; text-align:\"><\/div>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-30e1084dd637eb4371f6b2218af24136_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{cases} 2x+y-2z=3 \\\\[1.5ex] 3x-2y+z= 2 \\\\[1.5ex] x+4-5z = 3 \\end{cases}\" title=\"Rendered by QuickLaTeX.com\" height=\"97\" width=\"135\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p><strong>\u041c\u0430\u0442\u0440\u0438\u0446\u0430 A<\/strong> \u0438 <strong>\u0440\u0430\u0441\u0448\u0438\u0440\u0435\u043d\u043d\u0430\u044f \u043c\u0430\u0442\u0440\u0438\u0446\u0430 A&#8217;<\/strong> \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-b435d86f1466af5748d91e6c9bd813e3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  A= \\left( \\begin{array}{ccc} 2 &amp; 1 &amp; -2 \\\\[1.1ex] 3 &amp; -2 &amp; 1 \\\\[1.1ex] 1 &amp; 4 &amp; -5 \\end{array} \\right) \\qquad A'= \\left( \\begin{array}{ccc|c} 2 &amp; 1 &amp; -2 &amp; 3 \\\\[1.1ex] 3 &amp; -2 &amp; 1 &amp; 2  \\\\[1.1ex] 1 &amp; 4 &amp; -5 &amp; 3 \\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 \u0432\u044b\u0447\u0438\u0441\u043b\u0438\u043c \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\u0438\u043c, \u043e\u0442\u043b\u0438\u0447\u0430\u0435\u0442\u0441\u044f \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-714538c91aa2620a6adb40581245f0e0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\begin{vmatrix}A \\end{vmatrix}= \\begin{vmatrix} 2 &amp; 1 &amp; -2 \\\\[1.1ex] 3 &amp; -2 &amp; 1 \\\\[1.1ex] 1 &amp; 4 &amp; -5 \\end{vmatrix} = 0\" title=\"Rendered by QuickLaTeX.com\" height=\"86\" width=\"178\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> \u041e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u0435\u043b\u044c \u0432\u0441\u0435\u0439 \u043c\u0430\u0442\u0440\u0438\u0446\u044b A \u0434\u0430\u0435\u0442 0, \u043f\u043e\u044d\u0442\u043e\u043c\u0443 \u043e\u043d\u0430 \u043d\u0435 \u0438\u043c\u0435\u0435\u0442 \u0440\u0430\u043d\u0433\u0430 3. \u0427\u0442\u043e\u0431\u044b \u043f\u0440\u043e\u0432\u0435\u0440\u0438\u0442\u044c, \u0438\u043c\u0435\u0435\u0442 \u043b\u0438 \u043e\u043d\u0430 \u0440\u0430\u043d\u0433 2, \u043c\u044b \u0434\u043e\u043b\u0436\u043d\u044b \u043d\u0430\u0439\u0442\u0438 \u0432 A \u043f\u043e\u0434\u043c\u0430\u0442\u0440\u0438\u0446\u0443, \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u0435\u043b\u044c \u043a\u043e\u0442\u043e\u0440\u043e\u0439 \u043e\u0442\u043b\u0438\u0447\u0435\u043d \u043e\u0442 0. \u041d\u0430\u043f\u0440\u0438\u043c\u0435\u0440, \u0442\u0430, \u0447\u0442\u043e \u043d\u0430\u0445\u043e\u0434\u0438\u0442\u0441\u044f \u0432 \u0432\u0435\u0440\u0445\u043d\u0435\u043c \u043b\u0435\u0432\u043e\u043c \u0443\u0433\u043b\u0443 :<\/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-5a46decda8fd850d9c847922b0c896db_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\begin{vmatrix} 2 &amp; 1  \\\\[1.1ex] 3 &amp; -2 \\end{vmatrix} = -7 \\neq 0\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"136\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> \u041f\u043e\u0441\u043a\u043e\u043b\u044c\u043a\u0443 \u043c\u0430\u0442\u0440\u0438\u0446\u0430 \u0438\u043c\u0435\u0435\u0442 \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, <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> \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;. \u041c\u044b \u0443\u0436\u0435 \u0437\u043d\u0430\u0435\u043c, \u0447\u0442\u043e \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u0435\u043b\u044c \u043f\u0435\u0440\u0432\u044b\u0445 3-\u0445 \u0441\u0442\u043e\u043b\u0431\u0446\u043e\u0432 \u0434\u0430\u0435\u0442 0, \u043f\u043e\u044d\u0442\u043e\u043c\u0443 \u0442\u0435\u043f\u0435\u0440\u044c \u043f\u043e\u043f\u0440\u043e\u0431\u0443\u0435\u043c, \u043d\u0430\u043f\u0440\u0438\u043c\u0435\u0440, \u0441 \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u0435\u043b\u0435\u043c \u043f\u043e\u0441\u043b\u0435\u0434\u043d\u0438\u0445 3-\u0445 \u0441\u0442\u043e\u043b\u0431\u0446\u043e\u0432:<\/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-47aecdf801b92f21f2287fb96eaaa3f8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\begin{vmatrix} 1 &amp; -2 &amp; 3 \\\\[1.1ex]  -2 &amp; 1 &amp; 2  \\\\[1.1ex]  4 &amp; -5 &amp; 3 \\end{vmatrix} = 3 \\neq 0\" title=\"Rendered by QuickLaTeX.com\" height=\"86\" width=\"161\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> \u0421 \u0434\u0440\u0443\u0433\u043e\u0439 \u0441\u0442\u043e\u0440\u043e\u043d\u044b, \u043c\u0430\u0442\u0440\u0438\u0446\u0430 A&#8217; \u0441\u043e\u0434\u0435\u0440\u0436\u0438\u0442 \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u0435\u043b\u044c, \u0440\u0435\u0437\u0443\u043b\u044c\u0442\u0430\u0442 \u043a\u043e\u0442\u043e\u0440\u043e\u0433\u043e \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&#8217; \u0431\u0443\u0434\u0435\u0442 \u0438\u043c\u0435\u0442\u044c \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-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> \u0421\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u043e, \u043f\u043e\u0441\u043a\u043e\u043b\u044c\u043a\u0443 \u0440\u0430\u043d\u0433 \u043c\u0430\u0442\u0440\u0438\u0446\u044b A \u043c\u0435\u043d\u044c\u0448\u0435 \u0440\u0430\u043d\u0433\u0430 \u043c\u0430\u0442\u0440\u0438\u0446\u044b A&#8217;, \u043c\u044b \u0432\u044b\u0432\u043e\u0434\u0438\u043c \u0438\u0437 \u0442\u0435\u043e\u0440\u0435\u043c\u044b \u0420\u0443\u0448\u0435-\u0424\u0440\u043e\u0431\u0435\u043d\u0438\u0443\u0441\u0430, \u0447\u0442\u043e \u044d\u0442\u043e <strong>\u043d\u0435\u0441\u043e\u0432\u043c\u0435\u0441\u0442\u0438\u043c\u0430\u044f \u0441\u0438\u0441\u0442\u0435\u043c\u0430<\/strong> (SI) <strong>:<\/strong> <\/p>\n<p class=\"has-text-align-center\">\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-c3da0513f318d25473e93ba88c51fb42_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\begin{array}{c} \\begin{array}{c} \\color{black}rg(A) = 2 \\\\[1.3ex] \\color{black}rg(A')=3 \\\\[1.3ex] \\color{black}\\text{N\\'umero de inc\\'ognitas} = 3    \\end{array}} \\\\ \\\\  \\color{blue} \\boxed{ \\color{black}\\phantom{^9_9} rg(A) = 2 \\ \\neq \\ rg(A') = 3 \\color{blue} \\ \\bm{\\longrightarrow} \\ \\color{black} \\bm{SI}\\phantom{^9_9}} \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"138\" width=\"426\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\">\u0420\u0435\u0448\u0435\u043d\u043d\u044b\u0435 \u0437\u0430\u0434\u0430\u0447\u0438 \u0442\u0435\u043e\u0440\u0435\u043c\u044b \u0420\u0443\u0448\u0435\u2013\u0424\u0440\u043e\u0431\u0435\u043d\u0438\u0443\u0441\u0430 <\/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=\"estil_titol_H3 wp-block-heading\"> \u0423\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u0435 1<\/h3>\n<p> \u041e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u0435 \u0442\u0438\u043f \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0435\u0439 \u0441\u0438\u0441\u0442\u0435\u043c\u044b \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 \u0442\u0435\u043e\u0440\u0435\u043c\u0443 \u0420\u0443\u0448\u0435-\u0424\u0440\u043e\u0431\u0435\u043d\u0438\u0443\u0441\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-theoreme-de-rouche-8211-frebenius-1.webp\" alt=\"\u0420\u0435\u0448\u0435\u043d\u0438\u0435 \u0443\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u044f \u0442\u0435\u043e\u0440\u0435\u043c\u044b \u0420\u0443\u0448\u0430 - \u0424\u0440\u043e\u0431\u0435\u043d\u0438\u0443\u0441\u0430\" class=\"wp-image-3984\" width=\"193\" height=\"122\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E3F2FD boto_ver_solucion\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E3F2FD\" style=\"text-align:center\">\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-951ce5c1f0c606d4f060a1de58b60303_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; -1 &amp; -1 \\\\[1.1ex] -2 &amp; 4 &amp; 2 \\end{array} \\right) \\qquad A'= \\left( \\begin{array}{ccc|c} 2 &amp; 1 &amp; -3 &amp; 0 \\\\[1.1ex] 3 &amp; -1 &amp; -1 &amp; 2 \\\\[1.1ex] -2 &amp; 4 &amp; 2 &amp; 8 \\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 \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\u0430\u0435\u0442\u0441\u044f \u043b\u0438 \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u0435\u043b\u044c \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-15cddb69f7590648d1d6ae61d942471e_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; -1 &amp; -1 \\\\[1.1ex] -2 &amp; 4 &amp; 2 \\end{vmatrix} = -4+2-36+6+8-6=-30 \\bm{\\neq 0}\" title=\"Rendered by QuickLaTeX.com\" height=\"86\" width=\"450\" 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 \u0442\u0440\u0435\u0442\u044c\u0435\u0433\u043e \u043f\u043e\u0440\u044f\u0434\u043a\u0430, \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\"> \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 3, \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 3, \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 4, \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 4\u00d74. \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 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-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\"> \u0422\u0430\u043a\u0438\u043c \u043e\u0431\u0440\u0430\u0437\u043e\u043c, \u0431\u043b\u0430\u0433\u043e\u0434\u0430\u0440\u044f \u0442\u0435\u043e\u0440\u0435\u043c\u0435 \u0420\u0443\u0448\u0435-\u0424\u0440\u043e\u0431\u0435\u043d\u0438\u0443\u0441\u0430 \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\u0438\u043c\u0430\u044f \u0441\u0438\u0441\u0442\u0435\u043c\u0430<\/strong> (\u0414\u0421\u041a), \u043f\u043e\u0441\u043a\u043e\u043b\u044c\u043a\u0443 \u0434\u0438\u0430\u043f\u0430\u0437\u043e\u043d \u0410 \u0440\u0430\u0432\u0435\u043d \u0434\u0438\u0430\u043f\u0430\u0437\u043e\u043d\u0443 \u0410&#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<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> \u041a\u043b\u0430\u0441\u0441\u0438\u0444\u0438\u0446\u0438\u0440\u0443\u0439\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 \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 \u0442\u0435\u043e\u0440\u0435\u043c\u0443 \u0420\u0443\u0448\u0435-\u0424\u0440\u043e\u0431\u0435\u043d\u0438\u0443\u0441\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-theoreme-de-rouche-8211-frebenius-2.webp\" alt=\"\u0420\u0435\u0448\u0435\u043d\u043d\u043e\u0435 \u0443\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u0435 \u0442\u0435\u043e\u0440\u0435\u043c\u044b \u0420\u0443\u0448\u0430-\u0424\u0440\u043e\u0431\u0435\u043d\u0438\u0443\u0441\u0430\" class=\"wp-image-3987\" width=\"190\" height=\"121\" 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 \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-45e13aabe233ece927df7c9ba0bb3ec1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  A= \\left( \\begin{array}{ccc}3 &amp; -1 &amp; 2  \\\\[1.1ex] 1 &amp; 2 &amp; -2  \\\\[1.1ex] 1 &amp; -5 &amp; 6 \\end{array} \\right) \\qquad A'= \\left( \\begin{array}{ccc|c} 3 &amp; -1 &amp; 2 &amp; 1 \\\\[1.1ex] 1 &amp; 2 &amp; -2 &amp; 5 \\\\[1.1ex] 1 &amp; -5 &amp; 6 &amp; -9 \\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 \u0432\u044b\u0447\u0438\u0441\u043b\u0438\u043c \u0434\u0438\u0430\u043f\u0430\u0437\u043e\u043d \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-87bc95df0033834bba0398b8421faac5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\begin{vmatrix}A \\end{vmatrix}= \\begin{vmatrix} 3 &amp; -1 &amp; 2 \\\\[1.1ex] 1 &amp; 2 &amp; -2 \\\\[1.1ex] 1 &amp; -5 &amp; 6 \\end{vmatrix} = 0\" title=\"Rendered by QuickLaTeX.com\" height=\"86\" width=\"178\" 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-b9805283b75e2b89f67c7865a1263112_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\begin{vmatrix} 3 &amp; -1  \\\\[1.1ex] 1 &amp; 2 \\end{vmatrix} = 7 \\neq 0\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"123\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \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 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;. \u041c\u044b \u0443\u0436\u0435 \u0437\u043d\u0430\u0435\u043c, \u0447\u0442\u043e \u043e\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 \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:<\/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-e6457fe3f03722b7f0d955191f318915_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\begin{vmatrix}-1 &amp; 2 &amp; 1 \\\\[1.1ex] 2 &amp; -2 &amp; 5 \\\\[1.1ex] -5 &amp; 6 &amp; -9\\end{vmatrix} = 0 \\quad \\begin{vmatrix}3 &amp; 2 &amp; 1 \\\\[1.1ex] 1 &amp; -2 &amp; 5 \\\\[1.1ex] 1 &amp; 6 &amp; -9\\end{vmatrix} = 0 \\quad \\begin{vmatrix} 3 &amp; -1 &amp; 1 \\\\[1.1ex] 1 &amp; 2 &amp; 5 \\\\[1.1ex] 1 &amp; -5 &amp; -9\\end{vmatrix} = 0\" title=\"Rendered by QuickLaTeX.com\" height=\"86\" width=\"446\" 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 3\u00d73 \u043c\u0430\u0442\u0440\u0438\u0446\u044b A&#8217; \u0440\u0430\u0432\u043d\u044b 0, \u043f\u043e\u044d\u0442\u043e\u043c\u0443 \u043c\u0430\u0442\u0440\u0438\u0446\u0430 A&#8217; \u0442\u0430\u043a\u0436\u0435 \u043d\u0435 \u0431\u0443\u0434\u0435\u0442 \u0438\u043c\u0435\u0442\u044c \u0440\u0430\u043d\u0433 3. \u041e\u0434\u043d\u0430\u043a\u043e \u0432\u043d\u0443\u0442\u0440\u0438 \u043d\u0435\u0433\u043e \u0438\u043c\u0435\u0435\u0442\u0441\u044f \u043c\u043d\u043e\u0436\u0435\u0441\u0442\u0432\u043e \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u0435\u043b\u0435\u0439 \u043f\u043e\u0440\u044f\u0434\u043a\u0430 2, \u043e\u0442\u043b\u0438\u0447\u043d\u043e\u0433\u043e \u043e\u0442 0. \u041d\u0430\u043f\u0440\u0438\u043c\u0435\u0440:<\/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-eafa4747802fae3f0c36350357abbeb2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\begin{vmatrix} -1 &amp; 2  \\\\[1.1ex] 2 &amp; -2 \\end{vmatrix} = -2 \\neq 0\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" 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 <strong>, \u043c\u0430\u0442\u0440\u0438\u0446\u0430 A&#8217; \u0431\u0443\u0434\u0435\u0442 \u0438\u043c\u0435\u0442\u044c \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\"> \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\u0438\u0441\u043b\u0430 \u043d\u0435\u0438\u0437\u0432\u0435\u0441\u0442\u043d\u044b\u0445 \u0441\u0438\u0441\u0442\u0435\u043c\u044b (3). \u0421\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u043e, \u043f\u043e \u0442\u0435\u043e\u0440\u0435\u043c\u0435 \u0420\u0443\u0448\u0435-\u0424\u0440\u043e\u0431\u0435\u043d\u0438\u0443\u0441\u0430 \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\u043e-\u0441\u043e\u0432\u043c\u0435\u0441\u0442\u043d\u0430\u044f \u0441\u0438\u0441\u0442\u0435\u043c\u0430<\/strong> (\u0418\u041d\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<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> \u041e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u0435, \u043a \u043a\u0430\u043a\u043e\u043c\u0443 \u0442\u0438\u043f\u0443 \u0441\u0438\u0441\u0442\u0435\u043c\u044b \u043e\u0442\u043d\u043e\u0441\u0438\u0442\u0441\u044f \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0430\u044f \u0441\u0438\u0441\u0442\u0435\u043c\u0430 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0439, \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u0443\u044f \u0442\u0435\u043e\u0440\u0435\u043c\u0443 \u0420\u0443\u0448\u0435-\u0424\u0440\u043e\u0431\u0435\u043d\u0438\u0443\u0441\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-theoreme-de-rouche-8211-frebenius-3.webp\" alt=\"\u0443\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u0435 \u0440\u0435\u0448\u0430\u0435\u0442\u0441\u044f \u043f\u043e\u0448\u0430\u0433\u043e\u0432\u043e \u043f\u043e \u0442\u0435\u043e\u0440\u0435\u043c\u0435 \u0420\u0443\u0448\u0430 - \u0424\u0440\u043e\u0431\u0435\u043d\u0438\u0443\u0441\u0430\" class=\"wp-image-3990\" width=\"188\" height=\"122\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E3F2FD boto_ver_solucion\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E3F2FD\" style=\"text-align:center\">\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-1820d31e4fd5c79804c9b6fa15abb469_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  A= \\left( \\begin{array}{ccc} 1 &amp; 4 &amp; -2 \\\\[1.1ex] 3 &amp; -1 &amp; 3  \\\\[1.1ex] 5 &amp; 7 &amp; -1 \\end{array} \\right) \\qquad A'= \\left( \\begin{array}{ccc|c} 1 &amp; 4 &amp; -2 &amp; 3 \\\\[1.1ex] 3 &amp; -1 &amp; 3 &amp; -2 \\\\[1.1ex] 5 &amp; 7 &amp; -1 &amp; 0 \\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 \u0432\u044b\u0447\u0438\u0441\u043b\u0438\u043c \u0434\u0438\u0430\u043f\u0430\u0437\u043e\u043d \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-4f998260ee4c96673085ea6fd4ca87ba_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\begin{vmatrix}A \\end{vmatrix}= \\begin{vmatrix} 1 &amp; 4 &amp; -2 \\\\[1.1ex] 3 &amp; -1 &amp; 3 \\\\[1.1ex] 5 &amp; 7 &amp; -1\\end{vmatrix} = 0\" title=\"Rendered by QuickLaTeX.com\" height=\"86\" width=\"178\" 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-159a1c58fdcd972b4b08e4795950e064_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\begin{vmatrix} 1 &amp; 4  \\\\[1.1ex] 3 &amp; -1 \\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\"> \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 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;. \u041c\u044b \u0443\u0436\u0435 \u0437\u043d\u0430\u0435\u043c, \u0447\u0442\u043e \u043e\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, \u043d\u043e \u043d\u0435 \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u0435\u043b\u044c \u043f\u043e\u0441\u043b\u0435\u0434\u043d\u0438\u0445 \u0442\u0440\u0435\u0445 \u0441\u0442\u043e\u043b\u0431\u0446\u043e\u0432:<\/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-c673a5bbbd41933208169fa3e08b7c62_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\begin{vmatrix} 4 &amp; -2 &amp; 3 \\\\[1.1ex]-1 &amp; 3 &amp; -2 \\\\[1.1ex] 7 &amp; -1 &amp; 0 \\end{vmatrix} = -40 \\neq 0\" title=\"Rendered by QuickLaTeX.com\" height=\"86\" width=\"198\" 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, <strong>\u043c\u0430\u0442\u0440\u0438\u0446\u0430 A&#8217; \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-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\"> \u0420\u0430\u043d\u0433 \u043c\u0430\u0442\u0440\u0438\u0446\u044b A \u043c\u0435\u043d\u044c\u0448\u0435 \u0440\u0430\u043d\u0433\u0430 \u043c\u0430\u0442\u0440\u0438\u0446\u044b A&#8217;, \u043f\u043e\u044d\u0442\u043e\u043c\u0443 \u0438\u0437 \u0442\u0435\u043e\u0440\u0435\u043c\u044b \u0420\u0443\u0448\u0435-\u0424\u0440\u043e\u0431\u0435\u043d\u0438\u0443\u0441\u0430 \u043c\u044b \u043c\u043e\u0436\u0435\u043c \u0441\u0434\u0435\u043b\u0430\u0442\u044c \u0432\u044b\u0432\u043e\u0434, \u0447\u0442\u043e \u044d\u0442\u043e <strong>\u043d\u0435\u0441\u043e\u0432\u043c\u0435\u0441\u0442\u0438\u043c\u0430\u044f \u0441\u0438\u0441\u0442\u0435\u043c\u0430<\/strong> (SI) <strong>:<\/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-c3da0513f318d25473e93ba88c51fb42_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\begin{array}{c} \\begin{array}{c} \\color{black}rg(A) = 2 \\\\[1.3ex] \\color{black}rg(A')=3 \\\\[1.3ex] \\color{black}\\text{N\\'umero de inc\\'ognitas} = 3    \\end{array}} \\\\ \\\\  \\color{blue} \\boxed{ \\color{black}\\phantom{^9_9} rg(A) = 2 \\ \\neq \\ rg(A') = 3 \\color{blue} \\ \\bm{\\longrightarrow} \\ \\color{black} \\bm{SI}\\phantom{^9_9}} \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"138\" width=\"426\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<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> \u041e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u0435 \u0442\u0438\u043f \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0435\u0439 \u0441\u0438\u0441\u0442\u0435\u043c\u044b \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 \u0442\u0435\u043e\u0440\u0435\u043c\u0443 \u0420\u0443\u0448\u0435-\u0424\u0440\u043e\u0431\u0435\u043d\u0438\u0443\u0441\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-theoreme-de-rouche-8211-frobenius-3-inconnues-3-equations.webp\" alt=\"\u0420\u0435\u0448\u0435\u043d\u0438\u0435 \u0442\u0435\u043e\u0440\u0435\u043c\u044b \u0420\u0443\u0448\u0430 - \u0424\u0440\u043e\u0431\u0435\u043d\u0438\u0443\u0441\u0430 \u0441 3 \u043d\u0435\u0438\u0437\u0432\u0435\u0441\u0442\u043d\u044b\u043c\u0438 \u0438 3 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f\u043c\u0438\" class=\"wp-image-3991\" width=\"203\" height=\"122\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E3F2FD boto_ver_solucion\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E3F2FD\" style=\"text-align:center\">\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-f8a0454c53a64f612c689ba1dae1196b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  A= \\left( \\begin{array}{ccc} 5 &amp; -3 &amp; -2  \\\\[1.1ex] 1 &amp; 4 &amp; 1  \\\\[1.1ex]-3 &amp; 2 &amp; -2  \\end{array} \\right) \\qquad A'= \\left( \\begin{array}{ccc|c} 5 &amp; -3 &amp; -2 &amp; -2 \\\\[1.1ex] 1 &amp; 4 &amp; 1 &amp; 7 \\\\[1.1ex]-3 &amp; 2 &amp; -2 &amp; 3 \\end{array} \\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"85\" width=\"446\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0422\u0435\u043f\u0435\u0440\u044c \u043d\u0430\u043c \u043d\u0435\u043e\u0431\u0445\u043e\u0434\u0438\u043c\u043e \u0432\u044b\u0447\u0438\u0441\u043b\u0438\u0442\u044c \u0440\u0430\u043d\u0433 \u043c\u0430\u0442\u0440\u0438\u0446\u044b A. \u0414\u043b\u044f \u044d\u0442\u043e\u0433\u043e \u0440\u0435\u0448\u0438\u043c \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u0435\u043b\u044c \u043c\u0430\u0442\u0440\u0438\u0446\u044b \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-420f0d1ee000f39cbfbce88bf122f413_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\begin{vmatrix}A \\end{vmatrix}= \\begin{vmatrix} 5 &amp; -3 &amp; -2 \\\\[1.1ex] 1 &amp; 4 &amp; 1 \\\\[1.1ex]-3 &amp; 2 &amp; -2 \\end{vmatrix} = -40+9-4-24-10-6=-75 \\bm{\\neq 0}\" title=\"Rendered by QuickLaTeX.com\" height=\"86\" width=\"467\" 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 \u0442\u0440\u0435\u0442\u044c\u0435\u0433\u043e \u043f\u043e\u0440\u044f\u0434\u043a\u0430, \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\"> \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 3<\/strong> , \u043f\u043e\u0441\u043a\u043e\u043b\u044c\u043a\u0443 \u043e\u043d\u0430 \u0432\u0441\u0435\u0433\u0434\u0430 \u0438\u043c\u0435\u0435\u0442 \u0440\u0430\u043d\u0433 \u043d\u0435 \u043d\u0438\u0436\u0435 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 \u043c\u044b \u043d\u0435 \u043c\u043e\u0436\u0435\u043c \u0440\u0430\u0437\u0440\u0435\u0448\u0438\u0442\u044c \u043d\u0438 \u043e\u0434\u0438\u043d \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u0435\u043b\u044c 4\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\"> \u0422\u0430\u043a\u0438\u043c \u043e\u0431\u0440\u0430\u0437\u043e\u043c, \u0431\u043b\u0430\u0433\u043e\u0434\u0430\u0440\u044f \u043f\u0440\u0438\u043c\u0435\u043d\u0435\u043d\u0438\u044e \u0442\u0435\u043e\u0440\u0435\u043c\u044b \u0420\u0443\u0448\u0435-\u0424\u0440\u043e\u0431\u0435\u043d\u0438\u0443\u0441\u0430 \u043c\u044b \u0437\u043d\u0430\u0435\u043c, \u0447\u0442\u043e \u0441\u0438\u0441\u0442\u0435\u043c\u0430 \u044f\u0432\u043b\u044f\u0435\u0442\u0441\u044f <strong>\u0441\u043e\u0432\u043c\u0435\u0441\u0442\u0438\u043c\u043e\u0439 \u0434\u0435\u0442\u0435\u0440\u043c\u0438\u043d\u0438\u0440\u043e\u0432\u0430\u043d\u043d\u043e\u0439 \u0441\u0438\u0441\u0442\u0435\u043c\u043e\u0439<\/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<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> \u041e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u0435, \u043a \u043a\u0430\u043a\u043e\u043c\u0443 \u0442\u0438\u043f\u0443 \u0441\u0438\u0441\u0442\u0435\u043c\u044b \u043e\u0442\u043d\u043e\u0441\u0438\u0442\u0441\u044f \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0430\u044f \u0441\u0438\u0441\u0442\u0435\u043c\u0430 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0439, \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u0443\u044f \u0442\u0435\u043e\u0440\u0435\u043c\u0443 \u0420\u0443\u0448\u0435-\u0424\u0440\u043e\u0431\u0435\u043d\u0438\u0443\u0441\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-du-theoreme-de-rouche-8211-frebenius.webp\" alt=\"\u043f\u0440\u0438\u043c\u0435\u0440 \u0442\u0435\u043e\u0440\u0435\u043c\u044b \u0420\u0443\u0448\u0430 - \u0424\u0440\u043e\u0431\u0435\u043d\u0438\u0443\u0441\u0430\" class=\"wp-image-3992\" width=\"205\" height=\"122\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E3F2FD boto_ver_solucion\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E3F2FD\" style=\"text-align:center\">\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-3211e276b2b040969c38bc6c69eabd52_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  A= \\left( \\begin{array}{ccc} 4 &amp; -1 &amp; 3 \\\\[1.1ex] -1 &amp; 7 &amp; 3 \\\\[1.1ex] -5 &amp; 8 &amp; 0 \\end{array} \\right) \\qquad A'= \\left( \\begin{array}{ccc|c} 4 &amp; -1 &amp; 3 &amp; 5 \\\\[1.1ex] -1 &amp; 7 &amp; 3 &amp; -3 \\\\[1.1ex] -5 &amp; 8 &amp; 0 &amp; 9 \\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 \u0432\u044b\u0447\u0438\u0441\u043b\u0438\u043c \u0434\u0438\u0430\u043f\u0430\u0437\u043e\u043d \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-21004095a3a8ef3edfc15bed5c7853a4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\begin{vmatrix}A \\end{vmatrix}= \\begin{vmatrix} 4 &amp; -1 &amp; 3 \\\\[1.1ex] -1 &amp; 7 &amp; 3 \\\\[1.1ex] -5 &amp; 8 &amp; 0\\end{vmatrix} = 0\" title=\"Rendered by QuickLaTeX.com\" height=\"86\" width=\"178\" 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-a58059046b56cf1f8d82c6c8939e44ca_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\begin{vmatrix} 4 &amp; -1  \\\\[1.1ex]  -1 &amp; 7 \\end{vmatrix} = 27 \\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\"> <strong>\u0422\u0430\u043a\u0438\u043c \u043e\u0431\u0440\u0430\u0437\u043e\u043c, \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;. \u041e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u0435\u043b\u044c \u043f\u0435\u0440\u0432\u044b\u0445 3-\u0445 \u0441\u0442\u043e\u043b\u0431\u0446\u043e\u0432, \u043a\u043e\u0442\u043e\u0440\u044b\u0439 \u043c\u044b \u0443\u0436\u0435 \u0437\u043d\u0430\u0435\u043c, \u0434\u0430\u0435\u0442 0, \u0430 \u0432\u043e\u0442 \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u0435\u043b\u044c \u043f\u043e\u0441\u043b\u0435\u0434\u043d\u0438\u0445 3-\u0445 \u0441\u0442\u043e\u043b\u0431\u0446\u043e\u0432 \u043d\u0435 \u0434\u0430\u0435\u0442:<\/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-992718d3b50aedf77c80c262fad5845f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\begin{vmatrix} -1 &amp; 3 &amp; 5 \\\\[1.1ex]  7 &amp; 3 &amp; -3 \\\\[1.1ex] 8 &amp; 0 &amp; 9\\end{vmatrix} = -408 \\neq 0\" title=\"Rendered by QuickLaTeX.com\" height=\"86\" width=\"193\" 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, <strong>\u043c\u0430\u0442\u0440\u0438\u0446\u0430 A&#8217; \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-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\"> \u0418, \u043d\u0430\u043a\u043e\u043d\u0435\u0446, \u043c\u044b \u043f\u0440\u0438\u043c\u0435\u043d\u0438\u043c \u043e\u0431\u043b\u0430\u0441\u0442\u044c \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u044f \u043a \u0442\u0435\u043e\u0440\u0435\u043c\u0435 \u0420\u0443\u0448\u0435-\u0424\u0440\u043e\u0431\u0435\u043d\u0438\u0443\u0441\u0430: \u043e\u0431\u043b\u0430\u0441\u0442\u044c \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u044f \u043c\u0430\u0442\u0440\u0438\u0446\u044b A \u043c\u0435\u043d\u044c\u0448\u0435, \u0447\u0435\u043c \u043e\u0431\u043b\u0430\u0441\u0442\u044c \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u044f \u043c\u0430\u0442\u0440\u0438\u0446\u044b A&#8217;, \u043f\u043e\u044d\u0442\u043e\u043c\u0443 \u044d\u0442\u043e <strong>\u043d\u0435\u0441\u043e\u0432\u043c\u0435\u0441\u0442\u0438\u043c\u0430\u044f \u0441\u0438\u0441\u0442\u0435\u043c\u0430<\/strong> (SI) <strong>:<\/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-c3da0513f318d25473e93ba88c51fb42_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\begin{array}{c} \\begin{array}{c} \\color{black}rg(A) = 2 \\\\[1.3ex] \\color{black}rg(A')=3 \\\\[1.3ex] \\color{black}\\text{N\\'umero de inc\\'ognitas} = 3    \\end{array}} \\\\ \\\\  \\color{blue} \\boxed{ \\color{black}\\phantom{^9_9} rg(A) = 2 \\ \\neq \\ rg(A') = 3 \\color{blue} \\ \\bm{\\longrightarrow} \\ \\color{black} \\bm{SI}\\phantom{^9_9}} \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"138\" width=\"426\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<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 6<\/h3>\n<p> \u041a\u043b\u0430\u0441\u0441\u0438\u0444\u0438\u0446\u0438\u0440\u0443\u0439\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 \u0442\u0440\u0435\u0442\u044c\u0435\u0433\u043e \u043f\u043e\u0440\u044f\u0434\u043a\u0430 \u0441 \u0443\u0447\u0435\u0442\u043e\u043c \u0442\u0435\u043e\u0440\u0435\u043c\u044b \u0420\u0443\u0448\u0435-\u0424\u0440\u043e\u0431\u0435\u043d\u0438\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-d45e8bc425b08e403a98e01693201681_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{cases} 6x-2y+4z=1 \\\\[1.5ex] -2x+4y+3z= 7 \\\\[1.5ex] 8x-6y+z = -6\\end{cases}\" title=\"Rendered by QuickLaTeX.com\" height=\"97\" width=\"158\" 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-8e779eca9135adc44e4a3a55f368560f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  A= \\left( \\begin{array}{ccc} 6 &amp; -2 &amp; 4 \\\\[1.1ex] -2 &amp; 4 &amp; 3 \\\\[1.1ex] 8 &amp; -6 &amp; 1  \\end{array} \\right) \\qquad A'= \\left( \\begin{array}{ccc|c} 6 &amp; -2 &amp; 4 &amp; 1 \\\\[1.1ex] -2 &amp; 4 &amp; 3 &amp; 7 \\\\[1.1ex] 8 &amp; -6 &amp; 1 &amp; -6 \\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 \u0432\u044b\u0447\u0438\u0441\u043b\u0438\u043c \u0434\u0438\u0430\u043f\u0430\u0437\u043e\u043d \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-c2f63f79858eae462547cf2f270fc780_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\begin{vmatrix}A \\end{vmatrix}= \\begin{vmatrix} 6 &amp; -2 &amp; 4 \\\\[1.1ex] -2 &amp; 4 &amp; 3 \\\\[1.1ex] 8 &amp; -6 &amp; 1 \\end{vmatrix} = 0\" title=\"Rendered by QuickLaTeX.com\" height=\"86\" width=\"178\" 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-e5fa293b94b8c6acfd998f1e154abf7a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\begin{vmatrix} 6 &amp; -2  \\\\[1.1ex] -2 &amp; 4 \\end{vmatrix} = 20  \\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\"> \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 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;. \u041c\u044b \u0443\u0436\u0435 \u0437\u043d\u0430\u0435\u043c, \u0447\u0442\u043e \u043e\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 \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:<\/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-98958f866454a1bf9f1ac078562065cd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\begin{vmatrix} -2 &amp; 4 &amp; 1 \\\\[1.1ex]4 &amp; 3 &amp; 7 \\\\[1.1ex] -6 &amp; 1 &amp; -6\\end{vmatrix} = 0 \\quad \\begin{vmatrix}6 &amp; 4 &amp; 1 \\\\[1.1ex] -2 &amp; 3 &amp; 7 \\\\[1.1ex] 8 &amp;  1 &amp; -6\\end{vmatrix} = 0 \\quad \\begin{vmatrix} 6 &amp; -2 &amp; 1 \\\\[1.1ex] -2 &amp; 4 &amp; 7 \\\\[1.1ex] 8 &amp; -6 &amp; -6\\end{vmatrix} = 0\" title=\"Rendered by QuickLaTeX.com\" height=\"86\" width=\"446\" 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 3\u00d73 \u043c\u0430\u0442\u0440\u0438\u0446\u044b A&#8217; \u0440\u0430\u0432\u043d\u044b 0, \u043f\u043e\u044d\u0442\u043e\u043c\u0443 \u043c\u0430\u0442\u0440\u0438\u0446\u0430 A&#8217; \u0442\u0430\u043a\u0436\u0435 \u043d\u0435 \u0431\u0443\u0434\u0435\u0442 \u0438\u043c\u0435\u0442\u044c \u0440\u0430\u043d\u0433 3. \u041e\u0434\u043d\u0430\u043a\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\u0438 \u043f\u043e\u0440\u044f\u0434\u043a\u0430 2, \u043e\u0442\u043b\u0438\u0447\u043d\u043e\u0433\u043e \u043e\u0442 0. \u041d\u0430\u043f\u0440\u0438\u043c\u0435\u0440:<\/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-58091f1a37a4ef81fdf56f01dd9531a3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\begin{vmatrix} 6 &amp; -2 \\\\[1.1ex] -2 &amp; 4 \\end{vmatrix} = 20 \\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\"> \u0422\u0430\u043a\u0438\u043c \u043e\u0431\u0440\u0430\u0437\u043e\u043c <strong>, \u043c\u0430\u0442\u0440\u0438\u0446\u0430 A&#8217; \u0431\u0443\u0434\u0435\u0442 \u0438\u043c\u0435\u0442\u044c \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\"> \u041d\u0430\u043a\u043e\u043d\u0435\u0446, \u043f\u0440\u0438\u043c\u0435\u043d\u044f\u044f \u0442\u0435\u043e\u0440\u0435\u043c\u0443 \u0420\u0443\u0448\u0435-\u0424\u0440\u043e\u0431\u0435\u043d\u0438\u0443\u0441\u0430, \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), \u043f\u043e\u0441\u043a\u043e\u043b\u044c\u043a\u0443 \u0434\u0438\u0430\u043f\u0430\u0437\u043e\u043d \u043c\u0430\u0442\u0440\u0438\u0446\u044b A \u0440\u0430\u0432\u0435\u043d \u0434\u0438\u0430\u043f\u0430\u0437\u043e\u043d\u0443 \u043c\u0430\u0442\u0440\u0438\u0446\u044b A &#8216;, \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 \u0432 \u0441\u0438\u0441\u0442\u0435\u043c\u0430(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-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<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 \u043c\u044b \u0443\u0437\u043d\u0430\u0435\u043c, \u0447\u0442\u043e \u0442\u0430\u043a\u043e\u0435 \u0442\u0435\u043e\u0440\u0435\u043c\u0430 \u0420\u0443\u0448\u0435 \u0424\u0440\u043e\u0431\u0435\u043d\u0438\u0443\u0441\u0430 \u0438 \u043a\u0430\u043a \u0441 \u0435\u0435 \u043f\u043e\u043c\u043e\u0449\u044c\u044e \u0432\u044b\u0447\u0438\u0441\u043b\u0438\u0442\u044c \u0440\u0430\u043d\u0433 \u043c\u0430\u0442\u0440\u0438\u0446\u044b. \u0412\u044b \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, \u043f\u043e\u0448\u0430\u0433\u043e\u0432\u043e \u0440\u0435\u0448\u0430\u0435\u043c\u044b\u0435 \u0441 \u043f\u043e\u043c\u043e\u0449\u044c\u044e \u0442\u0435\u043e\u0440\u0435\u043c\u044b \u0420\u0443\u0448\u0435-\u0424\u0440\u043e\u0431\u0435\u043d\u0438\u0443\u0441\u0430. \u0427\u0442\u043e \u0442\u0430\u043a\u043e\u0435 \u0442\u0435\u043e\u0440\u0435\u043c\u0430 \u0420\u0443\u0448\u0435\u2013\u0424\u0440\u043e\u0431\u0435\u043d\u0438\u0443\u0441\u0430? \u0422\u0435\u043e\u0440\u0435\u043c\u0430 \u0420\u0443\u0448\u0435-\u0424\u0440\u043e\u0431\u0435\u043d\u0438\u0443\u0441\u0430 \u2014 \u044d\u0442\u043e \u043c\u0435\u0442\u043e\u0434 \u043a\u043b\u0430\u0441\u0441\u0438\u0444\u0438\u043a\u0430\u0446\u0438\u0438 \u0441\u0438\u0441\u0442\u0435\u043c \u043b\u0438\u043d\u0435\u0439\u043d\u044b\u0445 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0439. \u0414\u0440\u0443\u0433\u0438\u043c\u0438 \u0441\u043b\u043e\u0432\u0430\u043c\u0438, \u0442\u0435\u043e\u0440\u0435\u043c\u0430 \u0420\u0443\u0448\u0435-\u0424\u0440\u043e\u0431\u0435\u043d\u0438\u0443\u0441\u0430 \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u0443\u0435\u0442\u0441\u044f \u0434\u043b\u044f \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u044f \u043a\u043e\u043b\u0438\u0447\u0435\u0441\u0442\u0432\u0430 \u0440\u0435\u0448\u0435\u043d\u0438\u0439 \u0441\u0438\u0441\u0442\u0435\u043c\u044b \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0439 \u0431\u0435\u0437 &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/ru\/%d1%82%d0%b5%d0%be%d1%80%d0%b5%d0%bc%d0%b0-%d0%b4%d0%b5-%d1%80%d1%83%d1%88%d0%b0-%d1%84%d1%80%d0%be%d0%b1%d0%b5%d0%bd%d0%b8%d1%83%d1%81%d0%b0-%d1%81-%d0%bf%d1%80%d0%b8%d0%bc%d0%b5%d1%80%d0%b0%d0%bc\/\"> <span class=\"screen-reader-text\">\u0422\u0435\u043e\u0440\u0435\u043c\u0430 \u0440\u0443\u0448\u0430 \u2013 \u0444\u0440\u0435\u0431\u0435\u043d\u0438\u0443\u0441\u0430<\/span> \u0427\u0438\u0442\u0430\u0442\u044c \u0434\u0430\u043b\u0435\u0435 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