{"id":308,"date":"2023-07-06T14:08:28","date_gmt":"2023-07-06T14:08:28","guid":{"rendered":"https:\/\/mathority.org\/ru\/%d0%be%d0%b1%d1%81%d1%83%d0%b6%d0%b4%d0%b5%d0%bd%d0%b8%d0%b5-%d1%81%d0%b8%d1%81%d1%82%d0%b5%d0%bc-%d1%83%d1%80%d0%b0%d0%b2%d0%bd%d0%b5%d0%bd%d0%b8%d0%b8-%d1%81-%d0%bf%d0%b0%d1%80%d0%b0%d0%bc%d0%b5\/"},"modified":"2023-07-06T14:08:28","modified_gmt":"2023-07-06T14:08:28","slug":"%d0%be%d0%b1%d1%81%d1%83%d0%b6%d0%b4%d0%b5%d0%bd%d0%b8%d0%b5-%d1%81%d0%b8%d1%81%d1%82%d0%b5%d0%bc-%d1%83%d1%80%d0%b0%d0%b2%d0%bd%d0%b5%d0%bd%d0%b8%d0%b8-%d1%81-%d0%bf%d0%b0%d1%80%d0%b0%d0%bc%d0%b5","status":"publish","type":"post","link":"https:\/\/mathority.org\/ru\/%d0%be%d0%b1%d1%81%d1%83%d0%b6%d0%b4%d0%b5%d0%bd%d0%b8%d0%b5-%d1%81%d0%b8%d1%81%d1%82%d0%b5%d0%bc-%d1%83%d1%80%d0%b0%d0%b2%d0%bd%d0%b5%d0%bd%d0%b8%d0%b8-%d1%81-%d0%bf%d0%b0%d1%80%d0%b0%d0%bc%d0%b5\/","title":{"rendered":"\u041e\u0431\u0441\u0443\u0436\u0434\u0435\u043d\u0438\u0435 \u0441\u0438\u0441\u0442\u0435\u043c \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0439 \u0441 \u043f\u0430\u0440\u0430\u043c\u0435\u0442\u0440\u0430\u043c\u0438"},"content":{"rendered":"<p>\u041d\u0430 \u044d\u0442\u043e\u0439 \u0441\u0442\u0440\u0430\u043d\u0438\u0446\u0435 \u043c\u044b \u0443\u0432\u0438\u0434\u0438\u043c, \u043a\u0430\u043a \u043e\u0431\u0441\u0443\u0436\u0434\u0430\u0442\u044c \u0438 \u0440\u0435\u0448\u0430\u0442\u044c <strong>\u0441\u0438\u0441\u0442\u0435\u043c\u0443 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0439 \u0441 \u043f\u0430\u0440\u0430\u043c\u0435\u0442\u0440\u0430\u043c\u0438<\/strong> . \u041a\u0440\u043e\u043c\u0435 \u0442\u043e\u0433\u043e, \u0432\u044b \u043d\u0430\u0439\u0434\u0435\u0442\u0435 \u043f\u0440\u0438\u043c\u0435\u0440\u044b \u0438 \u0440\u0435\u0448\u0435\u043d\u043d\u044b\u0435 \u0443\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u044f \u0441\u0438\u0441\u0442\u0435\u043c \u043b\u0438\u043d\u0435\u0439\u043d\u044b\u0445 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0439 \u0434\u043b\u044f \u043f\u0440\u0430\u043a\u0442\u0438\u043a\u0438.<\/p>\n<p> \u0421 \u0434\u0440\u0443\u0433\u043e\u0439 \u0441\u0442\u043e\u0440\u043e\u043d\u044b, \u0434\u043b\u044f \u0430\u043d\u0430\u043b\u0438\u0437\u0430 \u0441\u0438\u0441\u0442\u0435\u043c \u043b\u0438\u043d\u0435\u0439\u043d\u044b\u0445 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0439 \u0432\u0430\u0436\u043d\u043e \u0437\u043d\u0430\u0442\u044c  , \u0447\u0442\u043e \u0442\u0430\u043a\u043e\u0435 \u043f\u0440\u0430\u0432\u0438\u043b\u043e \u041a\u0440\u0430\u043c\u0435\u0440\u0430  \u0438  \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  , \u043f\u043e\u0442\u043e\u043c\u0443 \u0447\u0442\u043e \u043c\u044b \u0431\u0443\u0434\u0435\u043c \u0438\u043c\u0438 \u043f\u043e\u0441\u0442\u043e\u044f\u043d\u043d\u043e \u043f\u043e\u043b\u044c\u0437\u043e\u0432\u0430\u0442\u044c\u0441\u044f.<\/p>\n<h2 class=\"wp-block-heading\"> \u041f\u0440\u0438\u043c\u0435\u0440 \u0441\u0438\u0441\u0442\u0435\u043c\u044b \u043b\u0438\u043d\u0435\u0439\u043d\u044b\u0445 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0439 \u0441 \u043f\u0430\u0440\u0430\u043c\u0435\u0442\u0440\u0430\u043c\u0438<\/h2>\n<ul>\n<li> \u041e\u0431\u0441\u0443\u0434\u0438\u0442\u0435 \u0438 \u0440\u0435\u0448\u0438\u0442\u0435 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0443\u044e \u0441\u0438\u0441\u0442\u0435\u043c\u0443 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0439 \u043e\u0442\u043d\u043e\u0441\u0438\u0442\u0435\u043b\u044c\u043d\u043e \u043f\u0430\u0440\u0430\u043c\u0435\u0442\u0440\u0430 <em>m<\/em> :<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-6ab2286d15c20029b98a5ea4622033d4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{cases} x+y+2z= 2 \\\\[1.5ex] -x+my+2z=0 \\\\[1.5ex] 3x+mz = 4\\end{cases}\" title=\"Rendered by QuickLaTeX.com\" height=\"97\" width=\"155\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> \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-bef8e6b26595703c77c65178cbf90ffc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  A= \\left( \\begin{array}{ccc}1 &amp; 1 &amp; 2 \\\\[1.1ex] -1 &amp; m &amp; 2 \\\\[1.1ex] 3 &amp; 0 &amp; m \\end{array} \\right) \\qquad A'= \\left( \\begin{array}{ccc|c} 1 &amp; 1 &amp; 2 &amp; 2 \\\\[1.1ex] -1 &amp; m &amp; 2 &amp; 0 \\\\[1.1ex] 3 &amp; 0 &amp; m &amp; 4 \\end{array} \\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"85\" width=\"404\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> \u0422\u0435\u043f\u0435\u0440\u044c \u043c\u044b \u0440\u0435\u0448\u0430\u0435\u043c \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u0435\u043b\u044c A, \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u0443\u044f \u043f\u0440\u0430\u0432\u0438\u043b\u043e \u0421\u0430\u0440\u0440\u0443\u0441\u0430, \u0447\u0442\u043e\u0431\u044b \u0443\u0432\u0438\u0434\u0435\u0442\u044c, \u043a\u0430\u043a\u043e\u0433\u043e \u0440\u0430\u043d\u0433\u0430 \u043c\u0430\u0442\u0440\u0438\u0446\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-e823f83f25f798bd854612a7352680d4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\begin{aligned}  \\begin{vmatrix}A \\end{vmatrix}= \\begin{vmatrix} 1 &amp; 1 &amp; 2 \\\\[1.1ex] -1 &amp; m &amp; 2 \\\\[1.1ex] 3 &amp; 0 &amp; m \\end{vmatrix} &amp; =m^2+6+0-6m-0+m \\\\ &amp; = m^2-5m+6 \\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"110\" width=\"366\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> \u0422\u0430\u043a\u0438\u043c \u043e\u0431\u0440\u0430\u0437\u043e\u043c, \u0440\u0435\u0437\u0443\u043b\u044c\u0442\u0430\u0442 \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u0435\u043b\u044f A \u0437\u0430\u0432\u0438\u0441\u0438\u0442 \u043e\u0442 \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u044f <em>m<\/em> . \u041f\u043e\u044d\u0442\u043e\u043c\u0443 \u043c\u044b \u0443\u0432\u0438\u0434\u0438\u043c, \u043f\u0440\u0438 \u043a\u0430\u043a\u0438\u0445 \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u044f\u0445 <em>m<\/em> \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u0435\u043b\u044c \u043e\u0431\u0440\u0430\u0449\u0430\u0435\u0442\u0441\u044f \u0432 \u043d\u0443\u043b\u044c. \u0414\u043b\u044f \u044d\u0442\u043e\u0433\u043e <strong>\u043c\u044b \u0443\u0441\u0442\u0430\u043d\u0430\u0432\u043b\u0438\u0432\u0430\u0435\u043c \u0440\u0435\u0437\u0443\u043b\u044c\u0442\u0430\u0442 \u0440\u0430\u0432\u043d\u044b\u043c 0<\/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-a2101d9a1d88f3e3d29bb4758d2fb8a6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle   m^2-5m+6 = 0\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"133\" style=\"vertical-align: -2px;\"><\/p>\n<\/p>\n<p> \u0418 \u0440\u0435\u0448\u0430\u0435\u043c \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u043d\u043e\u0435 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u043f\u043e \u0444\u043e\u0440\u043c\u0443\u043b\u0435:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-51910dd69f9df6fdde6dd7597f889700_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  m = \\cfrac{-b \\pm \\sqrt{b^2-4ac}}{2a}\" title=\"Rendered by QuickLaTeX.com\" height=\"41\" width=\"170\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-e863082ac1f9b43df4de9fe93f5eb305_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  m = \\cfrac{-(-5) \\pm \\sqrt{(-5)^2-4\\cdot 1 \\cdot 6}}{2 \\cdot 1} = \\cfrac{5 \\pm \\sqrt{25-24}}{2} =\\cfrac{5 \\pm 1}{2} = \\begin{cases} \\bm{m = 3} \\\\[2ex] \\bm{m =2} \\end{cases}\" title=\"Rendered by QuickLaTeX.com\" height=\"65\" width=\"537\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> \u0418\u0442\u0430\u043a, \u043a\u043e\u0433\u0434\u0430 <em>m<\/em> \u0440\u0430\u0432\u043d\u043e 2 \u0438\u043b\u0438 3, \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u0435\u043b\u044c A \u0431\u0443\u0434\u0435\u0442 0. \u0410 \u043a\u043e\u0433\u0434\u0430 <em>m<\/em> \u043e\u0442\u043b\u0438\u0447\u0430\u0435\u0442\u0441\u044f \u043e\u0442 2 \u0438 \u043e\u0442\u043b\u0438\u0447\u0430\u0435\u0442\u0441\u044f \u043e\u0442 3, \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u0435\u043b\u044c A \u0431\u0443\u0434\u0435\u0442 \u043e\u0442\u043b\u0438\u0447\u0435\u043d \u043e\u0442 0.<\/p>\n<p> \u041f\u043e\u044d\u0442\u043e\u043c\u0443 \u043c\u044b \u0434\u043e\u043b\u0436\u043d\u044b \u0430\u043d\u0430\u043b\u0438\u0437\u0438\u0440\u043e\u0432\u0430\u0442\u044c \u043a\u0430\u0436\u0434\u044b\u0439 \u0441\u043b\u0443\u0447\u0430\u0439 \u043e\u0442\u0434\u0435\u043b\u044c\u043d\u043e:<\/p>\n<p style=\"font-size:26px\"> <span style=\"color:#1976d2;\"><strong>\u043c\u22603 \u0438 \u043c\u22602:<\/strong><\/span><\/p>\n<p> \u041a\u0430\u043a \u043c\u044b \u0442\u043e\u043b\u044c\u043a\u043e \u0447\u0442\u043e \u0432\u0438\u0434\u0435\u043b\u0438, \u043a\u043e\u0433\u0434\u0430 \u043f\u0430\u0440\u0430\u043c\u0435\u0442\u0440 <em>m<\/em> \u043e\u0442\u043b\u0438\u0447\u0430\u0435\u0442\u0441\u044f \u043e\u0442 2 \u0438 3, \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u0435\u043b\u044c \u043c\u0430\u0442\u0440\u0438\u0446\u044b A \u043e\u0442\u043b\u0438\u0447\u0435\u043d \u043e\u0442 0. \u0421\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u043e, <strong>\u0440\u0430\u043d\u0433 \u043c\u0430\u0442\u0440\u0438\u0446\u044b A \u0440\u0430\u0432\u0435\u043d 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> \u0411\u043e\u043b\u0435\u0435 \u0442\u043e\u0433\u043e, <strong>\u0440\u0430\u043d\u0433 \u043c\u0430\u0442\u0440\u0438\u0446\u044b A&#8217; \u0442\u043e\u0436\u0435 \u0440\u0430\u0432\u0435\u043d 3<\/strong> , \u043f\u043e\u0441\u043a\u043e\u043b\u044c\u043a\u0443 \u0432\u043d\u0443\u0442\u0440\u0438 \u043d\u0435\u0435 \u0435\u0441\u0442\u044c \u043f\u043e\u0434\u043c\u0430\u0442\u0440\u0438\u0446\u0430 3\u00d73, \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. \u0418 \u043e\u043d\u0430 \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 \u00ab\u043c\u044b \u043d\u0435 \u043c\u043e\u0436\u0435\u043c \u0441\u043e\u0441\u0442\u0430\u0432\u0438\u0442\u044c \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> \u0422\u043e\u0433\u0434\u0430, \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), \u043f\u043e <strong>\u0442\u0435\u043e\u0440\u0435\u043c\u0435 \u0420\u0443\u0448\u0435-\u0424\u0440\u043e\u0431\u0435\u043d\u0438\u0443\u0441\u0430<\/strong> \u043c\u044b \u0437\u043d\u0430\u0435\u043c, \u0447\u0442\u043e \u044d\u0442\u043e <strong>\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<p> \u041a\u0430\u043a \u0442\u043e\u043b\u044c\u043a\u043e \u043c\u044b \u0443\u0437\u043d\u0430\u0435\u043c, \u0447\u0442\u043e \u0441\u0438\u0441\u0442\u0435\u043c\u0430 \u044f\u0432\u043b\u044f\u0435\u0442\u0441\u044f \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 (DCS), \u043c\u044b \u043f\u0440\u0438\u043c\u0435\u043d\u0438\u043c <strong>\u043f\u0440\u0430\u0432\u0438\u043b\u043e \u041a\u0440\u0430\u043c\u0435\u0440\u0430<\/strong> \u0434\u043b\u044f \u0435\u0435 \u0440\u0435\u0448\u0435\u043d\u0438\u044f. \u0414\u043b\u044f \u044d\u0442\u043e\u0433\u043e \u043d\u0430\u043f\u043e\u043c\u043d\u0438\u043c, \u0447\u0442\u043e \u043c\u0430\u0442\u0440\u0438\u0446\u0430 \u0410, \u0435\u0435 \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u0435\u043b\u044c \u0438 \u043c\u0430\u0442\u0440\u0438\u0446\u0430 \u0410&#8217; \u0440\u0430\u0432\u043d\u044b:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-bef8e6b26595703c77c65178cbf90ffc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  A= \\left( \\begin{array}{ccc}1 &amp; 1 &amp; 2 \\\\[1.1ex] -1 &amp; m &amp; 2 \\\\[1.1ex] 3 &amp; 0 &amp; m \\end{array} \\right) \\qquad A'= \\left( \\begin{array}{ccc|c} 1 &amp; 1 &amp; 2 &amp; 2 \\\\[1.1ex] -1 &amp; m &amp; 2 &amp; 0 \\\\[1.1ex] 3 &amp; 0 &amp; m &amp; 4 \\end{array} \\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"85\" width=\"404\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-aac47361358555f733a42cffecabdbe9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\begin{vmatrix}A \\end{vmatrix}= \\begin{vmatrix} 1 &amp; 1 &amp; 2 \\\\[1.1ex] -1 &amp; m &amp; 2 \\\\[1.1ex] 3 &amp; 0 &amp; m \\end{vmatrix} = m^2-5m+6\" title=\"Rendered by QuickLaTeX.com\" height=\"86\" width=\"268\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> \u0427\u0442\u043e\u0431\u044b \u0432\u044b\u0447\u0438\u0441\u043b\u0438\u0442\u044c x \u043f\u043e \u043f\u0440\u0430\u0432\u0438\u043b\u0443 \u041a\u0440\u0430\u043c\u0435\u0440\u0430, \u043c\u044b \u043c\u0435\u043d\u044f\u0435\u043c \u043f\u0435\u0440\u0432\u044b\u0439 \u0441\u0442\u043e\u043b\u0431\u0435\u0446 \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u0435\u043b\u044f \u043c\u0430\u0442\u0440\u0438\u0446\u044b A \u043d\u0430 \u0441\u0442\u043e\u043b\u0431\u0435\u0446 \u043d\u0435\u0437\u0430\u0432\u0438\u0441\u0438\u043c\u044b\u0445 \u0447\u043b\u0435\u043d\u043e\u0432 \u0438 \u0434\u0435\u043b\u0438\u043c \u0435\u0433\u043e \u043d\u0430 \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u0435\u043b\u044c A:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-b17f49436fdadbb014011b5c461a4a56_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\bm{x} = \\cfrac{\\begin{vmatrix} 2 &amp; 1 &amp; 2\\\\[1.1ex]0&amp;m&amp;2 \\\\[1.1ex] 4 &amp; 0 &amp; m \\end{vmatrix}}{\\begin{vmatrix} A \\end{vmatrix}} = \\cfrac{2m^2+8-8m}{m^2-5m+6}\" title=\"Rendered by QuickLaTeX.com\" height=\"113\" width=\"257\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> \u0427\u0442\u043e\u0431\u044b \u0432\u044b\u0447\u0438\u0441\u043b\u0438\u0442\u044c y \u043f\u043e \u043f\u0440\u0430\u0432\u0438\u043b\u0443 \u041a\u0440\u0430\u043c\u0435\u0440\u0430, \u043c\u044b \u0437\u0430\u043c\u0435\u043d\u0438\u043c \u0432\u0442\u043e\u0440\u043e\u0439 \u0441\u0442\u043e\u043b\u0431\u0435\u0446 \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u0435\u043b\u044f A \u043d\u0430 \u0441\u0442\u043e\u043b\u0431\u0435\u0446 \u043d\u0435\u0437\u0430\u0432\u0438\u0441\u0438\u043c\u044b\u0445 \u0447\u043b\u0435\u043d\u043e\u0432 \u0438 \u0440\u0430\u0437\u0434\u0435\u043b\u0438\u043c \u0435\u0433\u043e \u043d\u0430 \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u0435\u043b\u044c A:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-6a2bf75bdabfb2c83870f1869ce19e3d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\bm{y} = \\cfrac{\\begin{vmatrix}1 &amp; 2 &amp; 2 \\\\[1.1ex] -1 &amp; 0 &amp; 2 \\\\[1.1ex] 3 &amp; 4 &amp; m \\end{vmatrix}}{\\begin{vmatrix} A \\end{vmatrix}}=\\cfrac{-4+2m}{m^2-5m+6}\" title=\"Rendered by QuickLaTeX.com\" height=\"113\" width=\"255\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> \u0427\u0442\u043e\u0431\u044b \u0432\u044b\u0447\u0438\u0441\u043b\u0438\u0442\u044c z \u043f\u043e \u043f\u0440\u0430\u0432\u0438\u043b\u0443 \u041a\u0440\u0430\u043c\u0435\u0440\u0430, \u043c\u044b \u043c\u0435\u043d\u044f\u0435\u043c \u0442\u0440\u0435\u0442\u0438\u0439 \u0441\u0442\u043e\u043b\u0431\u0435\u0446 \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u0435\u043b\u044f A \u043d\u0430 \u0441\u0442\u043e\u043b\u0431\u0435\u0446 \u043d\u0435\u0437\u0430\u0432\u0438\u0441\u0438\u043c\u044b\u0445 \u0447\u043b\u0435\u043d\u043e\u0432 \u0438 \u0434\u0435\u043b\u0438\u043c \u0435\u0433\u043e \u043d\u0430 \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u0435\u043b\u044c A:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-eebb3c4d280afc8a9aed8877ddcd4ac5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\bm{z} = \\cfrac{\\begin{vmatrix}  1 &amp; 1 &amp; 2 \\\\[1.1ex] -1 &amp; m &amp; 0 \\\\[1.1ex] 3 &amp; 0 &amp; 4\\end{vmatrix}}{\\begin{vmatrix} A \\end{vmatrix}} = \\cfrac{-2m+4}{m^2-5m+6}\" title=\"Rendered by QuickLaTeX.com\" height=\"113\" width=\"254\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> \u0421\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u043e, \u0440\u0435\u0448\u0435\u043d\u0438\u0435 \u0441\u0438\u0441\u0442\u0435\u043c\u044b \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0439 \u0434\u043b\u044f \u0441\u043b\u0443\u0447\u0430\u044f m\u22603 \u0438 m\u22602 \u0438\u043c\u0435\u0435\u0442 \u0432\u0438\u0434:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-7cba73a14f41d3314575e075f1229e87_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\bm{x =} \\cfrac{\\bm{2m^2+8-8m}}{\\bm{m^2-5m+6}} \\qquad \\bm{y=} \\cfrac{\\bm{-4+2m}}{\\bm{m^2-5m+6}} \\qquad \\bm{z =} \\cfrac{\\bm{-2m+4}}{\\bm{m^2-5m+6}}\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"470\" style=\"vertical-align: -14px;\"><\/p>\n<\/p>\n<p> \u041a\u0430\u043a \u0432\u0438\u0434\u0438\u0442\u0435, \u0432 \u044d\u0442\u043e\u043c \u0441\u043b\u0443\u0447\u0430\u0435 \u0440\u0435\u0448\u0435\u043d\u0438\u0435 \u0441\u0438\u0441\u0442\u0435\u043c\u044b \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0439 \u044f\u0432\u043b\u044f\u0435\u0442\u0441\u044f \u0444\u0443\u043d\u043a\u0446\u0438\u0435\u0439 m.<\/p>\n<p> \u041a\u0430\u043a \u0442\u043e\u043b\u044c\u043a\u043e \u043c\u044b \u043d\u0430\u0448\u043b\u0438 \u0440\u0435\u0448\u0435\u043d\u0438\u0435 \u0434\u043b\u044f \u0441\u043b\u0443\u0447\u0430\u044f, \u043a\u043e\u0433\u0434\u0430 m \u043e\u0442\u043b\u0438\u0447\u0430\u0435\u0442\u0441\u044f \u043e\u0442 2 \u0438 3, \u043c\u044b \u0440\u0435\u0448\u0438\u043c \u0441\u0438\u0441\u0442\u0435\u043c\u0443 \u0434\u043b\u044f \u0441\u043b\u0443\u0447\u0430\u044f, \u043a\u043e\u0433\u0434\u0430 m \u0440\u0430\u0432\u043d\u043e 2:<\/p>\n<div class=\"adsb30\" style=\" margin:px; text-align:\"><\/div>\n<p style=\"font-size:26px\"> <span style=\"color:#1976d2;\"><strong>\u043c=2:<\/strong><\/span><\/p>\n<p> \u0422\u0435\u043f\u0435\u0440\u044c \u043c\u044b \u0431\u0443\u0434\u0435\u043c \u0430\u043d\u0430\u043b\u0438\u0437\u0438\u0440\u043e\u0432\u0430\u0442\u044c \u0441\u0438\u0441\u0442\u0435\u043c\u0443, \u043a\u043e\u0433\u0434\u0430 \u043f\u0430\u0440\u0430\u043c\u0435\u0442\u0440 <em>m<\/em> \u0440\u0430\u0432\u0435\u043d 2. \u0412 \u044d\u0442\u043e\u043c \u0441\u043b\u0443\u0447\u0430\u0435 \u043c\u0430\u0442\u0440\u0438\u0446\u044b A \u0438 A&#8217; \u0438\u043c\u0435\u044e\u0442 \u0432\u0438\u0434:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f42ec4801f3e84cd44b4e0b2ae6351cf_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  A= \\left( \\begin{array}{ccc}1 &amp; 1 &amp; 2 \\\\[1.1ex] -1 &amp; 2 &amp; 2 \\\\[1.1ex] 3 &amp; 0 &amp; 2 \\end{array} \\right) \\qquad A'= \\left( \\begin{array}{ccc|c} 1 &amp; 1 &amp; 2 &amp; 2 \\\\[1.1ex] -1 &amp; 2 &amp; 2 &amp; 0 \\\\[1.1ex] 3 &amp; 0 &amp; 2 &amp; 4 \\end{array} \\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"85\" width=\"377\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> \u041a\u0430\u043a \u043c\u044b \u0432\u0438\u0434\u0435\u043b\u0438 \u0440\u0430\u043d\u0435\u0435, \u043f\u0440\u0438 m=2 \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u0435\u043b\u044c \u043c\u0430\u0442\u0440\u0438\u0446\u044b A \u0440\u0430\u0432\u0435\u043d 0. \u0421\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u043e, \u043c\u0430\u0442\u0440\u0438\u0446\u0430 A \u043d\u0435 \u0438\u043c\u0435\u0435\u0442 \u0440\u0430\u043d\u0433\u0430 3. \u041d\u043e \u0432\u043d\u0443\u0442\u0440\u0438 \u043d\u0435\u0435 \u0438\u043c\u0435\u0435\u0442\u0441\u044f 2\u00d72 \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u0435\u043b\u044f, \u043e\u0442\u043b\u0438\u0447\u043d\u044b\u0445 \u043e\u0442 0, \u043d\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-55ef6cd148fca7a869e14760007e1f2e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\begin{vmatrix}1 &amp; 1 \\\\[1.1ex] -1 &amp; 2  \\end{vmatrix} = 2 - (-1)=3 \\neq 0\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"213\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> \u0418\u0442\u0430\u043a, \u0432 \u0434\u0430\u043d\u043d\u043e\u043c \u0441\u043b\u0443\u0447\u0430\u0435 <strong>\u0440\u0430\u043d\u0433 A \u0440\u0430\u0432\u0435\u043d 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 \u043c\u0430\u0442\u0440\u0438\u0446\u044b 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 \u0442\u0440\u0435\u0445 \u0441\u0442\u043e\u043b\u0431\u0446\u043e\u0432 \u0434\u0430\u0435\u0442 0, \u043f\u043e\u044d\u0442\u043e\u043c\u0443 \u043c\u044b \u043f\u0440\u043e\u0431\u0443\u0435\u043c \u0434\u0440\u0443\u0433\u0438\u0435 \u0432\u043e\u0437\u043c\u043e\u0436\u043d\u044b\u0435 \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u0435\u043b\u0438 3\u00d73 \u0432 \u043c\u0430\u0442\u0440\u0438\u0446\u0435 A&#8217;:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-2c68c742cae37c52ad2566b7feec5301_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\begin{vmatrix} 1 &amp; 2 &amp; 2 \\\\[1.1ex] 2 &amp; 2 &amp; 0 \\\\[1.1ex] 0 &amp; 2 &amp; 4 \\end{vmatrix} = 0 \\qquad \\begin{vmatrix} 1 &amp; 2 &amp; 2 \\\\[1.1ex] -1 &amp; 2 &amp; 0 \\\\[1.1ex] 3 &amp; 2 &amp; 4 \\end{vmatrix}=0\\qquad \\begin{vmatrix} 1 &amp; 1 &amp; 2 \\\\[1.1ex] -1 &amp; 2 &amp; 0 \\\\[1.1ex] 3 &amp; 0 &amp; 4\\end{vmatrix}=0\" title=\"Rendered by QuickLaTeX.com\" height=\"86\" width=\"412\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> \u0412\u0441\u0435 \u0432\u043e\u0437\u043c\u043e\u0436\u043d\u044b\u0435 \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u0435\u043b\u0438 \u0440\u0430\u0437\u043c\u0435\u0440\u043d\u043e\u0441\u0442\u0438 3\u00d73 \u0434\u0430\u044e\u0442 0. \u041d\u043e, \u043e\u0447\u0435\u0432\u0438\u0434\u043d\u043e, \u043c\u0430\u0442\u0440\u0438\u0446\u0430 A&#8217; \u0438\u043c\u0435\u0435\u0442 \u0442\u043e\u0442 \u0436\u0435 \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u0435\u043b\u044c 2\u00d72, \u043e\u0442\u043b\u0438\u0447\u043d\u044b\u0439 \u043e\u0442 0, \u0447\u0442\u043e \u0438 \u043c\u0430\u0442\u0440\u0438\u0446\u0430 A:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-55ef6cd148fca7a869e14760007e1f2e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\begin{vmatrix}1 &amp; 1 \\\\[1.1ex] -1 &amp; 2  \\end{vmatrix} = 2 - (-1)=3 \\neq 0\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"213\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> \u0421\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u043e, <strong>\u043c\u0430\u0442\u0440\u0438\u0446\u0430 A&#8217; \u0442\u0430\u043a\u0436\u0435 \u0438\u043c\u0435\u0435\u0442 \u0440\u0430\u043d\u0433 2<\/strong> :<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-80398cfd2fff647f81c0d4160f3b2f7e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  rg(A')=2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"81\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> \u0418\u0442\u0430\u043a, \u043f\u043e\u0441\u043a\u043e\u043b\u044c\u043a\u0443 \u0440\u0430\u043d\u0433 \u043c\u0430\u0442\u0440\u0438\u0446\u044b A \u0440\u0430\u0432\u0435\u043d \u0440\u0430\u043d\u0433\u0443 \u043c\u0430\u0442\u0440\u0438\u0446\u044b A&#8217;, \u043d\u043e \u044d\u0442\u0438 \u0434\u0432\u0430 \u043c\u0435\u043d\u044c\u0448\u0435 \u0447\u0438\u0441\u043b\u0430 \u043d\u0435\u0438\u0437\u0432\u0435\u0441\u0442\u043d\u044b\u0445 \u0441\u0438\u0441\u0442\u0435\u043c\u044b (3), \u043c\u044b \u0437\u043d\u0430\u0435\u043c \u043f\u043e <strong>\u0442\u0435\u043e\u0440\u0435\u043c\u0435 \u0420\u0443\u0448\u0435-\u0424\u0440\u043e\u0431\u0435\u043d\u0438\u0443\u0441\u0430<\/strong> , \u0447\u0442\u043e \u044d\u0442\u043e <strong>\u043d\u0435\u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u043d\u043e \u0441\u043e\u0432\u043c\u0435\u0441\u0442\u0438\u043c\u0430\u044f \u0441\u0438\u0441\u0442\u0435\u043c\u0430.<\/strong> (\u0418\u041a\u0421):<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-96868a2569ea0ab5ca99d8dc606d3dc9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\begin{array}{c} \\begin{array}{c} \\color{black}rg(A) = 2 \\\\[1.3ex] \\color{black}rg(A')=2 \\\\[1.3ex] \\color{black}\\text{N\\'umero de inc\\'ognitas} = 3    \\end{array}} \\\\ \\\\  \\color{blue} \\boxed{ \\color{black}\\phantom{^9_9} rg(A) = rg(A') = 2 \\ < \\ n =3  \\color{blue} \\ \\bm{\\longrightarrow} \\ \\color{black} \\bm{SCI}\\phantom{^9_9}} \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"138\" width=\"475\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> \u041f\u043e\u0441\u043a\u043e\u043b\u044c\u043a\u0443 \u044d\u0442\u043e \u0410\u0421\u0423 \u0422\u041f, \u043d\u0430\u043c \u043d\u0435\u043e\u0431\u0445\u043e\u0434\u0438\u043c\u043e \u043f\u0440\u0435\u043e\u0431\u0440\u0430\u0437\u043e\u0432\u0430\u0442\u044c \u0441\u0438\u0441\u0442\u0435\u043c\u0443 \u0434\u043b\u044f \u0435\u0435 \u0440\u0435\u0448\u0435\u043d\u0438\u044f. \u0414\u043b\u044f \u044d\u0442\u043e\u0433\u043e \u043d\u0430\u043c \u043d\u0435\u043e\u0431\u0445\u043e\u0434\u0438\u043c\u043e \u0441\u043d\u0430\u0447\u0430\u043b\u0430 \u0438\u0441\u043a\u043b\u044e\u0447\u0438\u0442\u044c \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u0438\u0437 \u0441\u0438\u0441\u0442\u0435\u043c\u044b, \u0432 \u044d\u0442\u043e\u043c \u0441\u043b\u0443\u0447\u0430\u0435 <strong>\u043c\u044b \u0443\u0434\u0430\u043b\u0438\u043c \u043f\u043e\u0441\u043b\u0435\u0434\u043d\u0435\u0435 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435:<\/strong><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-10c7facda35cb8894e6bbb236e4953f1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{cases} x+y+2z= 2 \\\\[1.5ex] -x+2y+2z=0 \\\\[1.5ex] \\cancel{3x+2z = 4} \\end{cases} \\longrightarrow \\quad \\begin{cases}  x+y+2z= 2 \\\\[1.5ex] -x+2y+2z=0\\end{cases}\" title=\"Rendered by QuickLaTeX.com\" height=\"97\" width=\"377\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> <strong>\u0422\u0435\u043f\u0435\u0440\u044c \u043f\u0440\u0435\u043e\u0431\u0440\u0430\u0437\u0443\u0435\u043c \u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u0443\u044e z \u0432 \u03bb:<\/strong><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-0155083595420da31a486927e953805c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{cases}x+y+2z= 2 \\\\[1.5ex] -x+2y+2z=0  \\end{cases} \\xrightarrow{z \\ = \\ \\lambda}\\quad \\begin{cases} x+y+2\\lambda= 2 \\\\[1.5ex] -x+2y+2\\lambda=0\\end{cases}\" title=\"Rendered by QuickLaTeX.com\" height=\"65\" width=\"398\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> \u0418 <strong>\u0447\u043b\u0435\u043d\u044b \u0441 \u03bb \u0441\u0442\u0430\u0432\u0438\u043c \u0441 \u043d\u0435\u0437\u0430\u0432\u0438\u0441\u0438\u043c\u044b\u043c\u0438 \u0447\u043b\u0435\u043d\u0430\u043c\u0438:<\/strong><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-b8486baee4be39f417988ee12b5e67c7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{cases}x+y=2-2\\lambda \\\\[1.5ex] -x+2y=-2\\lambda \\end{cases}\" title=\"Rendered by QuickLaTeX.com\" height=\"65\" width=\"133\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> \u0421\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u043e, \u043c\u0430\u0442\u0440\u0438\u0446\u0430 A \u0438 \u043c\u0430\u0442\u0440\u0438\u0446\u0430 A&#8217; \u0441\u0438\u0441\u0442\u0435\u043c\u044b \u043e\u0441\u0442\u0430\u044e\u0442\u0441\u044f:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-8591e8c21bce2f49998311bbb08f7dee_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  A= \\left( \\begin{array}{ccc} 1 &amp; 1  \\\\[1.1ex] -1 &amp; 2 \\end{array} \\right) \\qquad A'= \\left( \\begin{array}{cc|c} 1 &amp; 1 &amp; 2 -2\\lambda \\\\[1.1ex] -1 &amp; 2 &amp; -2\\lambda \\end{array} \\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"363\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> \u041d\u0430\u043a\u043e\u043d\u0435\u0446, \u043f\u0440\u0435\u043e\u0431\u0440\u0430\u0437\u043e\u0432\u0430\u0432 \u0441\u0438\u0441\u0442\u0435\u043c\u0443, <strong>\u043c\u044b \u043f\u0440\u0438\u043c\u0435\u043d\u044f\u0435\u043c \u043f\u0440\u0430\u0432\u0438\u043b\u043e \u041a\u0440\u0430\u043c\u0435\u0440\u0430<\/strong> . \u0414\u043b\u044f \u044d\u0442\u043e\u0433\u043e \u0441\u043d\u0430\u0447\u0430\u043b\u0430 \u0440\u0435\u0448\u0438\u043c \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u0435\u043b\u044c \u0410:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-c34669d7234c9736c350f793df337bd3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\begin{vmatrix}A \\end{vmatrix}= \\begin{vmatrix} 1 &amp; 1  \\\\[1.1ex] -1 &amp; 2\\end{vmatrix} =2-(-1)=3\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"229\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> \u0427\u0442\u043e\u0431\u044b \u0432\u044b\u0447\u0438\u0441\u043b\u0438\u0442\u044c <em>x<\/em> \u043f\u043e \u043f\u0440\u0430\u0432\u0438\u043b\u0443 \u041a\u0440\u0430\u043c\u0435\u0440\u0430, \u043c\u044b \u0437\u0430\u043c\u0435\u043d\u0438\u043c \u043f\u0435\u0440\u0432\u044b\u0439 \u0441\u0442\u043e\u043b\u0431\u0435\u0446 \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u0435\u043b\u044f A \u043d\u0430 \u0441\u0442\u043e\u043b\u0431\u0435\u0446 \u043d\u0435\u0437\u0430\u0432\u0438\u0441\u0438\u043c\u044b\u0445 \u0447\u043b\u0435\u043d\u043e\u0432 \u0438 \u0440\u0430\u0437\u0434\u0435\u043b\u0438\u043c \u0435\u0433\u043e \u043d\u0430 \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u0435\u043b\u044c A:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-987ebe052154332042afeb27535996f1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\bm{x} = \\cfrac{\\begin{vmatrix} 2 -2\\lambda &amp; 1  \\\\[1.1ex] -2\\lambda &amp; 2 \\end{vmatrix}}{\\begin{vmatrix} A \\end{vmatrix}} = \\cfrac{4-4\\lambda-(-2\\lambda)}{3} = \\cfrac{\\bm{4-2\\lambda}}{\\bm{3}}\" title=\"Rendered by QuickLaTeX.com\" height=\"81\" width=\"345\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> \u0427\u0442\u043e\u0431\u044b \u0432\u044b\u0447\u0438\u0441\u043b\u0438\u0442\u044c <em>y<\/em> \u043f\u043e \u043f\u0440\u0430\u0432\u0438\u043b\u0443 \u041a\u0440\u0430\u043c\u0435\u0440\u0430, \u043c\u044b \u0437\u0430\u043c\u0435\u043d\u0438\u043c \u0432\u0442\u043e\u0440\u043e\u0439 \u0441\u0442\u043e\u043b\u0431\u0435\u0446 \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u0435\u043b\u044f A \u043d\u0430 \u0441\u0442\u043e\u043b\u0431\u0435\u0446 \u043d\u0435\u0437\u0430\u0432\u0438\u0441\u0438\u043c\u044b\u0445 \u0447\u043b\u0435\u043d\u043e\u0432 \u0438 \u0440\u0430\u0437\u0434\u0435\u043b\u0438\u043c \u0435\u0433\u043e \u043d\u0430 \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u0435\u043b\u044c A:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-8a3c7b2cd7319f7f9db6df7df79abb50_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\bm{y} = \\cfrac{\\begin{vmatrix} 1 &amp; 2 -2\\lambda  \\\\[1.1ex] -1 &amp; -2\\lambda  \\end{vmatrix}}{\\begin{vmatrix} A \\end{vmatrix}}=\\cfrac{-2\\lambda -(-2+2\\lambda)}{3} = \\cfrac{\\bm{2-4\\lambda} }{\\bm{3}}\" title=\"Rendered by QuickLaTeX.com\" height=\"81\" width=\"379\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> \u0418\u0442\u0430\u043a, \u043f\u0440\u0438 m=2 \u0440\u0435\u0448\u0435\u043d\u0438\u0435 \u0441\u0438\u0441\u0442\u0435\u043c\u044b \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0439 \u044f\u0432\u043b\u044f\u0435\u0442\u0441\u044f \u0444\u0443\u043d\u043a\u0446\u0438\u0435\u0439 \u03bb, \u043f\u043e\u0441\u043a\u043e\u043b\u044c\u043a\u0443 \u043e\u043d\u0430 \u044f\u0432\u043b\u044f\u0435\u0442\u0441\u044f \u0421\u041a\u0418 \u0438, \u0441\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u043e, \u0438\u043c\u0435\u0435\u0442 \u0431\u0435\u0441\u043a\u043e\u043d\u0435\u0447\u043d\u044b\u0435 \u0440\u0435\u0448\u0435\u043d\u0438\u044f:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-1bc871365fab3194e382053fc6b083b5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\bm{x =}  \\cfrac{\\bm{4-2\\lambda}}{\\bm{3}}  \\qquad \\bm{y=}\\cfrac{\\bm{2-4\\lambda}}{\\bm{3}} \\qquad \\bm{z=\\lambda}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"274\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p> \u041c\u044b \u0443\u0436\u0435 \u0430\u043d\u0430\u043b\u0438\u0437\u0438\u0440\u043e\u0432\u0430\u043b\u0438 \u0440\u0435\u0448\u0435\u043d\u0438\u0435 \u0441\u0438\u0441\u0442\u0435\u043c\u044b, \u043a\u043e\u0433\u0434\u0430 \u043f\u0430\u0440\u0430\u043c\u0435\u0442\u0440 <em>m<\/em> \u043e\u0442\u043b\u0438\u0447\u0435\u043d \u043e\u0442 2 \u0438 3, \u0430 \u0442\u0430\u043a\u0436\u0435 \u043a\u043e\u0433\u0434\u0430 \u043e\u043d \u0440\u0430\u0432\u0435\u043d 2. \u041f\u043e\u044d\u0442\u043e\u043c\u0443 \u043d\u0430\u043c \u043d\u0443\u0436\u0435\u043d \u0442\u043e\u043b\u044c\u043a\u043e \u043f\u043e\u0441\u043b\u0435\u0434\u043d\u0438\u0439 \u0441\u043b\u0443\u0447\u0430\u0439: \u043a\u043e\u0433\u0434\u0430 <em>m<\/em> \u043f\u0440\u0438\u043d\u0438\u043c\u0430\u0435\u0442 \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0435 3: <\/p>\n<div class=\"adsb30\" style=\" margin:12px; text-align:center\">\n<div id=\"ezoic-pub-ad-placeholder-118\"><\/div>\n<\/div>\n<p style=\"font-size:26px\"> <span style=\"color:#1976d2;\"><strong>\u043c=3:<\/strong><\/span><\/p>\n<p> \u0422\u0435\u043f\u0435\u0440\u044c \u043c\u044b \u043f\u0440\u043e\u0430\u043d\u0430\u043b\u0438\u0437\u0438\u0440\u0443\u0435\u043c, \u0447\u0442\u043e \u043f\u0440\u043e\u0438\u0441\u0445\u043e\u0434\u0438\u0442, \u043a\u043e\u0433\u0434\u0430 \u043f\u0430\u0440\u0430\u043c\u0435\u0442\u0440 <em>m<\/em> \u0440\u0430\u0432\u0435\u043d 3. \u0412 \u044d\u0442\u043e\u043c \u0441\u043b\u0443\u0447\u0430\u0435 \u043c\u0430\u0442\u0440\u0438\u0446\u044b A \u0438 A&#8217; \u0438\u043c\u0435\u044e\u0442 \u0432\u0438\u0434:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-c49bbc0d7d36606aa59be050c2682de5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  A= \\left( \\begin{array}{ccc}1 &amp; 1 &amp; 2 \\\\[1.1ex] -1 &amp; 3 &amp; 2 \\\\[1.1ex] 3 &amp; 0 &amp; 3 \\end{array} \\right) \\qquad A'= \\left( \\begin{array}{ccc|c} 1 &amp; 1 &amp; 2 &amp; 2 \\\\[1.1ex] -1 &amp; 3 &amp; 2 &amp; 0 \\\\[1.1ex] 3 &amp; 0 &amp; 3 &amp; 4 \\end{array} \\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"85\" width=\"377\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> \u041a\u0430\u043a \u043c\u044b \u0432\u0438\u0434\u0435\u043b\u0438 \u0440\u0430\u043d\u0435\u0435, \u043f\u0440\u0438 m=3 \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u0435\u043b\u044c A \u0440\u0430\u0432\u0435\u043d 0. \u0422\u0430\u043a\u0438\u043c \u043e\u0431\u0440\u0430\u0437\u043e\u043c, \u043c\u0430\u0442\u0440\u0438\u0446\u0430 A \u043d\u0435 \u0438\u043c\u0435\u0435\u0442 \u0440\u0430\u043d\u0433\u0430 3. \u041d\u043e \u0432\u043d\u0443\u0442\u0440\u0438 \u043d\u0435\u0435 \u0435\u0441\u0442\u044c 2\u00d72 \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u0435\u043b\u044f, \u043e\u0442\u043b\u0438\u0447\u043d\u044b\u0445 \u043e\u0442 0, \u043d\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-d88ce42feb4bba9aa74aae98e1062c4a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\begin{vmatrix}1 &amp; 1 \\\\[1.1ex] -1 &amp; 3  \\end{vmatrix} = 3 - (-1)=4 \\neq 0\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"213\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> \u0418\u0442\u0430\u043a, \u0432 \u0434\u0430\u043d\u043d\u043e\u043c \u0441\u043b\u0443\u0447\u0430\u0435 <strong>\u0440\u0430\u043d\u0433 A \u0440\u0430\u0432\u0435\u043d 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 \u043c\u0430\u0442\u0440\u0438\u0446\u044b 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 \u0442\u0440\u0435\u0445 \u0441\u0442\u043e\u043b\u0431\u0446\u043e\u0432 \u0434\u0430\u0435\u0442 0, \u043f\u043e\u044d\u0442\u043e\u043c\u0443 \u043c\u044b \u043f\u0440\u043e\u0431\u0443\u0435\u043c \u0434\u0440\u0443\u0433\u043e\u0439 \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u0435\u043b\u044c 3\u00d73, \u043a\u043e\u0442\u043e\u0440\u044b\u0439 \u043d\u0430\u0445\u043e\u0434\u0438\u0442\u0441\u044f \u0432\u043d\u0443\u0442\u0440\u0438 \u043c\u0430\u0442\u0440\u0438\u0446\u044b A&#8217;, \u043d\u0430\u043f\u0440\u0438\u043c\u0435\u0440, \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 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-5e6f1a5c155ca004c73e51bdcbe5ece9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\begin{vmatrix} 1 &amp; 2 &amp; 2 \\\\[1.1ex] 3 &amp; 2 &amp; 0 \\\\[1.1ex] 0 &amp; 3 &amp; 4\\end{vmatrix}=2\" title=\"Rendered by QuickLaTeX.com\" height=\"86\" width=\"100\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> \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; \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\u0440\u0438 m = 3 \u0440\u0430\u043d\u0433 \u043c\u0430\u0442\u0440\u0438\u0446\u044b A \u043d\u0438\u0436\u0435 \u0440\u0430\u043d\u0433\u0430 \u043c\u0430\u0442\u0440\u0438\u0446\u044b A&#8217;. \u0422\u0430\u043a\u0438\u043c \u043e\u0431\u0440\u0430\u0437\u043e\u043c, \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 \u0434\u0435\u043b\u0430\u0435\u043c \u0432\u044b\u0432\u043e\u0434, \u0447\u0442\u043e \u0441\u0438\u0441\u0442\u0435\u043c\u0430 \u044f\u0432\u043b\u044f\u0435\u0442\u0441\u044f <strong>\u043d\u0435\u0441\u043e\u0432\u043c\u0435\u0441\u0442\u0438\u043c\u043e\u0439 \u0441\u0438\u0441\u0442\u0435\u043c\u043e\u0439<\/strong> (\u041d\u0421) <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-3454f804b63f3cca9bcf08bc93815f90_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\begin{array}{c} \\begin{array}{c} \\color{black}rg(A) = 2 \\\\[1.3ex] \\color{black}rg(A')=3 \\\\[1.3ex] \\color{black}\\text{N\\'umero de inc\\'ognitas}=3\\end{array}} \\\\ \\\\  \\color{blue} \\boxed{ \\color{black}\\phantom{^9_9} rg(A)=2 \\ \\neq \\ rg(A') = 3 \\color{blue} \\ \\bm{\\longrightarrow} \\ \\color{black} \\bm{SI}\\phantom{^9_9}} \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"138\" width=\"426\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> \u0421\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u043e, \u0441\u0438\u0441\u0442\u0435\u043c\u0430 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0439 <strong>\u043d\u0435 \u0438\u043c\u0435\u0435\u0442 \u0440\u0435\u0448\u0435\u043d\u0438\u044f \u043f\u0440\u0438 m = 3.<\/strong><\/p>\n<h3 class=\"wp-block-heading\"> \u041a\u0440\u0430\u0442\u043a\u043e\u0435 \u0438\u0437\u043b\u043e\u0436\u0435\u043d\u0438\u0435 \u043f\u0440\u0438\u043c\u0435\u0440\u0430:<\/h3>\n<p> \u041a\u0430\u043a \u043c\u044b \u0432\u0438\u0434\u0435\u043b\u0438, \u0440\u0435\u0448\u0435\u043d\u0438\u0435 \u0441\u0438\u0441\u0442\u0435\u043c\u044b \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0439 \u0437\u0430\u0432\u0438\u0441\u0438\u0442 \u043e\u0442 \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u044f \u043f\u0430\u0440\u0430\u043c\u0435\u0442\u0440\u0430 <em>m<\/em> . \u0412\u043e\u0442 \u043a\u0440\u0430\u0442\u043a\u043e\u0435 \u043e\u043f\u0438\u0441\u0430\u043d\u0438\u0435 \u0432\u0441\u0435\u0445 \u0432\u043e\u0437\u043c\u043e\u0436\u043d\u044b\u0445 \u0441\u043b\u0443\u0447\u0430\u0435\u0432: <\/p>\n<div class=\"wp-block-columns is-layout-flex wp-container-32\">\n<div class=\"wp-block-column is-layout-flow\">\n<ul>\n<li> <span style=\"color:#1976d2;font-size:22px\"><strong>\u043c\u22603 \u0438 \u043c\u22602:<\/strong><\/span> <\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-cf366a55bd307517f94fd8aa00cdf598_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\bm{SCD} \\longrightarrow \\begin{cases} x = \\cfrac{2m^2+8-8m}{m^2-5m+6} \\\\[3.5ex] y =\\cfrac{-4+2m}{m^2-5m+6} \\\\[3.5ex] z = \\cfrac{-2m+4}{m^2-5m+6} \\end{cases}\" title=\"Rendered by QuickLaTeX.com\" height=\"171\" width=\"240\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<\/div>\n<div class=\"wp-block-column is-layout-flow\">\n<ul>\n<li> <span style=\"color:#1976d2;font-size:22px\"><strong>\u043c=2:<\/strong><\/span> <\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-94002d4f4d866569ed7d6993dd977b81_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\bm{SCI} \\longrightarrow \\begin{cases} x = \\cfrac{4-2\\lambda}{3} \\\\[3.5ex] y= \\cfrac{2-4\\lambda}{3} \\\\[3.5ex] z = \\lambda \\end{cases}\" title=\"Rendered by QuickLaTeX.com\" height=\"150\" width=\"175\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<\/div>\n<div class=\"wp-block-column is-layout-flow\">\n<ul>\n<li> <span style=\"color:#1976d2;font-size:22px\"><strong>\u043c=3:<\/strong><\/span><\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-9b971789910fd078c90174ed3d662e9a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\bm{SI} \\longrightarrow\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"54\" style=\"vertical-align: -1px;\"><\/p>\n<p> \u0421\u0438\u0441\u0442\u0435\u043c\u0430 \u043d\u0435 \u0438\u043c\u0435\u0435\u0442 \u0440\u0435\u0448\u0435\u043d\u0438\u044f.<\/p>\n<\/div>\n<\/div>\n<p> \u0417\u0434\u0435\u0441\u044c \u043c\u044b \u043f\u0440\u043e\u0434\u0435\u043b\u0430\u043b\u0438 \u0432\u0435\u0441\u044c \u043f\u0440\u043e\u0446\u0435\u0441\u0441, \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u0443\u044f \u0442\u0435\u043e\u0440\u0435\u043c\u0443 \u0420\u0443\u0448\u0430 \u0438 \u043f\u0440\u0430\u0432\u0438\u043b\u043e \u041a\u0440\u0430\u043c\u0435\u0440\u0430, \u043d\u043e \u0441\u0438\u0441\u0442\u0435\u043c\u044b \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0439 \u0441 \u043f\u0430\u0440\u0430\u043c\u0435\u0442\u0440\u0430\u043c\u0438 \u0442\u0430\u043a\u0436\u0435 \u043c\u043e\u0436\u043d\u043e \u043e\u0431\u0441\u0443\u0436\u0434\u0430\u0442\u044c \u0438 \u0440\u0435\u0448\u0430\u0442\u044c  \u043c\u0435\u0442\u043e\u0434\u043e\u043c \u0413\u0430\u0443\u0441\u0441\u0430 (\u0441 \u0443\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u044f\u043c\u0438)  . \u0412\u044b \u043c\u043e\u0436\u0435\u0442\u0435 \u0443\u0437\u043d\u0430\u0442\u044c \u0431\u043e\u043b\u044c\u0448\u0435 \u043e\u0431 \u044d\u0442\u043e\u043c \u043c\u0435\u0442\u043e\u0434\u0435 \u043d\u0430 \u0441\u0432\u044f\u0437\u0430\u043d\u043d\u043e\u0439 \u0441\u0442\u0440\u0430\u043d\u0438\u0446\u0435, \u0433\u0434\u0435 \u0432\u044b \u043d\u0430\u0439\u0434\u0435\u0442\u0435 \u043f\u043e\u0434\u0440\u043e\u0431\u043d\u043e\u0435 \u043e\u0431\u044a\u044f\u0441\u043d\u0435\u043d\u0438\u0435 \u043f\u0440\u043e\u0446\u0435\u0434\u0443\u0440\u044b, \u0430 \u0442\u0430\u043a\u0436\u0435 \u043f\u0440\u0438\u043c\u0435\u0440\u044b \u0438 \u043f\u043e\u0448\u0430\u0433\u043e\u0432\u044b\u0435 \u0440\u0435\u0448\u0435\u043d\u0438\u044f \u0443\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u0439.<\/p>\n<h2 class=\"wp-block-heading\"> \u0420\u0435\u0448\u0435\u043d\u043d\u044b\u0435 \u0434\u0438\u0441\u043a\u0443\u0441\u0441\u0438\u043e\u043d\u043d\u044b\u0435 \u0437\u0430\u0434\u0430\u0447\u0438 \u0441\u0438\u0441\u0442\u0435\u043c \u043b\u0438\u043d\u0435\u0439\u043d\u044b\u0445 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0439 \u0441 \u043f\u0430\u0440\u0430\u043c\u0435\u0442\u0440\u0430\u043c\u0438<\/h2>\n<h3 class=\"wp-block-heading\"> \u0423\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u0435 1<\/h3>\n<p> \u041e\u0431\u0441\u0443\u0434\u0438\u0442\u0435 \u0438 \u0440\u0435\u0448\u0438\u0442\u0435 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0443\u044e \u0441\u0438\u0441\u0442\u0435\u043c\u0443 \u043b\u0438\u043d\u0435\u0439\u043d\u044b\u0445 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0439, \u0437\u0430\u0432\u0438\u0441\u044f\u0449\u0438\u0445 \u043e\u0442 \u043f\u0430\u0440\u0430\u043c\u0435\u0442\u0440\u043e\u0432: <\/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-de-systemes-dequations-a-parametres.webp\" alt=\"\u0440\u0435\u0448\u0435\u043d\u043e \u0443\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u0435 \u0441\u0438\u0441\u0442\u0435\u043c \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0439 \u0441 \u043f\u0430\u0440\u0430\u043c\u0435\u0442\u0440\u0430\u043c\u0438\" class=\"wp-image-4014\" width=\"191\" height=\"123\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E3F2FD boto_ver_solucion\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E3F2FD\" style=\"text-align:center\">\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-b641845325965882d4aac899246cffb3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  A= \\left( \\begin{array}{ccc} 4 &amp; -1 &amp; 1 \\\\[1.1ex] 1 &amp; 1 &amp; -3 \\\\[1.1ex] 3 &amp; -2 &amp; -m \\end{array} \\right) \\qquad A'= \\left( \\begin{array}{ccc|c}4 &amp; -1 &amp; 1 &amp; 0 \\\\[1.1ex] 1 &amp; 1 &amp; -3 &amp; 0 \\\\[1.1ex] 3 &amp; -2 &amp; -m &amp; 0\\end{array} \\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"85\" width=\"418\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0422\u0435\u043f\u0435\u0440\u044c \u043c\u044b \u0434\u043e\u043b\u0436\u043d\u044b \u043d\u0430\u0439\u0442\u0438 \u0440\u0430\u043d\u0433 \u043c\u0430\u0442\u0440\u0438\u0446\u044b \u0410. \u0414\u043b\u044f \u044d\u0442\u043e\u0433\u043e \u043f\u0440\u043e\u0432\u0435\u0440\u044f\u0435\u043c, \u043e\u0442\u043b\u0438\u0447\u0435\u043d \u043b\u0438 \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u0435\u043b\u044c \u0432\u0441\u0435\u0439 \u043c\u0430\u0442\u0440\u0438\u0446\u044b \u043e\u0442 0:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-4d36c7cffe0248a2f45cd5871abc6ed5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\begin{aligned}\\begin{vmatrix}A \\end{vmatrix}= \\begin{vmatrix} 4 &amp; -1 &amp; 1 \\\\[1.1ex] 1 &amp; 1 &amp; -3 \\\\[1.1ex] 3 &amp; -2 &amp; -m \\end{vmatrix} &amp; =-4m+9-2-3-24-m \\\\ &amp; =-5m-20 \\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"108\" width=\"381\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0420\u0435\u0437\u0443\u043b\u044c\u0442\u0430\u0442 \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u0435\u043b\u044f A \u0437\u0430\u0432\u0438\u0441\u0438\u0442 \u043e\u0442 \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u044f m. \u041f\u043e\u044d\u0442\u043e\u043c\u0443 \u043c\u044b \u0443\u0432\u0438\u0434\u0438\u043c, \u043f\u0440\u0438 \u043a\u0430\u043a\u0438\u0445 \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u044f\u0445 m \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u0435\u043b\u044c \u043e\u0431\u0440\u0430\u0449\u0430\u0435\u0442\u0441\u044f \u0432 \u043d\u0443\u043b\u044c. \u0414\u043b\u044f \u044d\u0442\u043e\u0433\u043e \u043f\u0440\u0438\u0440\u0430\u0432\u043d\u0438\u0432\u0430\u0435\u043c \u043f\u043e\u043b\u0443\u0447\u0435\u043d\u043d\u044b\u0439 \u0440\u0435\u0437\u0443\u043b\u044c\u0442\u0430\u0442 \u043a 0 \u0438 \u0440\u0435\u0448\u0430\u0435\u043c \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-e7d065a700c5f2a7f732719be777027f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"-5m-20 = 0\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"109\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-bc49744634d23cdf0faf446f33487eac_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"-5m = 20\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"79\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-ca8fa07f8716b941295db488a99a6425_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"m = \\cfrac{20}{-5} = -4\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"110\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0418\u0442\u0430\u043a, \u043a\u043e\u0433\u0434\u0430 m \u0440\u0430\u0432\u043d\u043e -4, \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u0435\u043b\u044c A \u0431\u0443\u0434\u0435\u0442 0. \u0410 \u043a\u043e\u0433\u0434\u0430 m \u043e\u0442\u043b\u0438\u0447\u0430\u0435\u0442\u0441\u044f \u043e\u0442 -4, \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u0435\u043b\u044c A \u0431\u0443\u0434\u0435\u0442 \u043e\u0442\u043b\u0438\u0447\u0435\u043d \u043e\u0442 0. \u041f\u043e\u044d\u0442\u043e\u043c\u0443 \u043c\u044b \u0434\u043e\u043b\u0436\u043d\u044b \u0430\u043d\u0430\u043b\u0438\u0437\u0438\u0440\u043e\u0432\u0430\u0442\u044c \u043a\u0430\u0436\u0434\u044b\u0439 \u0441\u043b\u0443\u0447\u0430\u0439 \u043e\u0442\u0434\u0435\u043b\u044c\u043d\u043e:<\/p>\n<p class=\"has-text-align-left\" style=\"font-size:26px\"> <span style=\"color:#1976d2;\"><strong>\u043c\u2260-4:<\/strong><\/span><\/p>\n<p class=\"has-text-align-left\"> \u041a\u0430\u043a \u043c\u044b \u0442\u043e\u043b\u044c\u043a\u043e \u0447\u0442\u043e \u0432\u0438\u0434\u0435\u043b\u0438, \u043a\u043e\u0433\u0434\u0430 \u043f\u0430\u0440\u0430\u043c\u0435\u0442\u0440 m \u043e\u0442\u043b\u0438\u0447\u0430\u0435\u0442\u0441\u044f \u043e\u0442 -4, \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u0435\u043b\u044c \u043c\u0430\u0442\u0440\u0438\u0446\u044b A \u043e\u0442\u043b\u0438\u0447\u0435\u043d \u043e\u0442 0. \u0421\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u043e, \u0440\u0430\u043d\u0433 \u043c\u0430\u0442\u0440\u0438\u0446\u044b A \u0440\u0430\u0432\u0435\u043d 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-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\"> \u0411\u043e\u043b\u0435\u0435 \u0442\u043e\u0433\u043e, \u0440\u0430\u043d\u0433 \u043c\u0430\u0442\u0440\u0438\u0446\u044b \u0410&#8217; \u0442\u043e\u0436\u0435 \u0440\u0430\u0432\u0435\u043d 3, \u043f\u043e\u0441\u043a\u043e\u043b\u044c\u043a\u0443 \u0432\u043d\u0443\u0442\u0440\u0438 \u043d\u0435\u0435 \u0435\u0441\u0442\u044c \u043f\u043e\u0434\u043c\u0430\u0442\u0440\u0438\u0446\u0430 \u0440\u0430\u0437\u043c\u0435\u0440\u0430 3\u00d73, \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. \u0418 \u043e\u043d\u0430 \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 \u00ab\u043c\u044b \u043d\u0435 \u043c\u043e\u0436\u0435\u043c \u0441\u043e\u0441\u0442\u0430\u0432\u0438\u0442\u044c \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\"> \u0421\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u043e, \u043f\u0440\u0438\u043c\u0435\u043d\u044f\u044f <strong>\u0442\u0435\u043e\u0440\u0435\u043c\u0443 \u0420\u0443\u0448\u0435-\u0424\u0440\u043e\u0431\u0435\u043d\u0438\u0443\u0441\u0430,<\/strong> \u043c\u044b \u0437\u043d\u0430\u0435\u043c, \u0447\u0442\u043e \u044d\u0442\u043e <strong>\u0441\u043e\u0432\u043c\u0435\u0441\u0442\u0438\u043c\u0430\u044f \u0434\u0435\u0442\u0435\u0440\u043c\u0438\u043d\u0438\u0440\u043e\u0432\u0430\u043d\u043d\u0430\u044f \u0441\u0438\u0441\u0442\u0435\u043c\u0430<\/strong> (SCD), \u043f\u043e\u0441\u043a\u043e\u043b\u044c\u043a\u0443 \u0434\u0438\u0430\u043f\u0430\u0437\u043e\u043d A \u0440\u0430\u0432\u0435\u043d \u0434\u0438\u0430\u043f\u0430\u0437\u043e\u043d\u0443 A&#8217; \u0438 \u0447\u0438\u0441\u043b\u0443 \u043d\u0435\u0438\u0437\u0432\u0435\u0441\u0442\u043d\u044b\u0445.<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-31b495a48a75d7af1f23e38818bf4eca_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\begin{array}{c} \\begin{array}{c} \\color{black}rg(A) = 3 \\\\[1.3ex] \\color{black}rg(A')=3 \\\\[1.3ex] \\color{black}\\text{N\\'umero de inc\\'ognitas} = 3 \\end{array}} \\\\ \\\\ \\color{blue} \\boxed{ \\color{black}\\phantom{^9_9} rg(A) = rg(A') = n = 3 \\color{blue} \\ \\bm{\\longrightarrow} \\ \\color{black} \\bm{SCD}\\phantom{^9_9}} \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"138\" width=\"436\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u041a\u0430\u043a \u0442\u043e\u043b\u044c\u043a\u043e \u043c\u044b \u0443\u0437\u043d\u0430\u0435\u043c, \u0447\u0442\u043e \u0441\u0438\u0441\u0442\u0435\u043c\u0430 \u043f\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u043b\u044f\u0435\u0442 \u0441\u043e\u0431\u043e\u0439 SCD, \u043c\u044b \u043f\u0440\u0438\u043c\u0435\u043d\u0438\u043c \u043f\u0440\u0430\u0432\u0438\u043b\u043e \u041a\u0440\u0430\u043c\u0435\u0440\u0430 \u0434\u043b\u044f \u0435\u0435 \u0440\u0435\u0448\u0435\u043d\u0438\u044f. \u0414\u043b\u044f \u044d\u0442\u043e\u0433\u043e \u043d\u0430\u043f\u043e\u043c\u043d\u0438\u043c, \u0447\u0442\u043e \u043c\u0430\u0442\u0440\u0438\u0446\u0430 \u0410, \u0435\u0435 \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u0435\u043b\u044c \u0438 \u043c\u0430\u0442\u0440\u0438\u0446\u0430 \u0410&#8217; \u0440\u0430\u0432\u043d\u044b: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-e9e0bd352ad7713a03824ead1239041c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  A= \\left( \\begin{array}{ccc} 4 &amp; -1 &amp; 1  \\\\[1.1ex] 1 &amp; 1 &amp; -3 \\\\[1.1ex] 3 &amp; -2 &amp; -m \\end{array} \\right) \\qquad A'= \\left( \\begin{array}{ccc|c} 4 &amp; -1 &amp; 1 &amp; 0 \\\\[1.1ex] 1 &amp; 1 &amp; -3 &amp; 0 \\\\[1.1ex] 3 &amp; -2 &amp; -m &amp; 0\\end{array} \\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"85\" width=\"418\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-530cb4576ee1a91d6246ed6cf9dd0fc8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\begin{vmatrix}A \\end{vmatrix}= \\begin{vmatrix} 4 &amp; -1 &amp; 1  \\\\[1.1ex] 1 &amp; 1 &amp; -3 \\\\[1.1ex] 3 &amp; -2 &amp; -m\\end{vmatrix} =-5m-20\" title=\"Rendered by QuickLaTeX.com\" height=\"86\" width=\"253\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0427\u0442\u043e\u0431\u044b \u0432\u044b\u0447\u0438\u0441\u043b\u0438\u0442\u044c xatex] \u043f\u043e \u043f\u0440\u0430\u0432\u0438\u043b\u0443 \u041a\u0440\u0430\u043c\u0435\u0440\u0430, \u043c\u044b \u043c\u0435\u043d\u044f\u0435\u043c \u043f\u0435\u0440\u0432\u044b\u0439 \u0441\u0442\u043e\u043b\u0431\u0435\u0446 \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u0435\u043b\u044f A \u043d\u0430 \u0441\u0442\u043e\u043b\u0431\u0435\u0446 \u043d\u0435\u0437\u0430\u0432\u0438\u0441\u0438\u043c\u044b\u0445 \u0447\u043b\u0435\u043d\u043e\u0432 \u0438 \u0434\u0435\u043b\u0438\u043c \u0435\u0433\u043e \u043d\u0430 \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u0435\u043b\u044c A:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-b076bbda8d086abedb459570d74c80a9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\bm{x} = \\cfrac{\\begin{vmatrix} 0 &amp; -1 &amp; 1  \\\\[1.1ex] 0 &amp; 1 &amp; -3 \\\\[1.1ex] 0 &amp; -2 &amp; -m\\end{vmatrix}}{\\begin{vmatrix} A \\end{vmatrix}} = \\cfrac{0}{-5m-20} = \\bm{0}\" title=\"Rendered by QuickLaTeX.com\" height=\"113\" width=\"280\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0427\u0442\u043e\u0431\u044b \u0432\u044b\u0447\u0438\u0441\u043b\u0438\u0442\u044c \u043d\u0435\u0438\u0437\u0432\u0435\u0441\u0442\u043d\u043e\u0435 \u043f\u043e \u043f\u0440\u0430\u0432\u0438\u043b\u0443 \u041a\u0440\u0430\u043c\u0435\u0440\u0430, \u043c\u044b \u043c\u0435\u043d\u044f\u0435\u043c \u0432\u0442\u043e\u0440\u043e\u0439 \u0441\u0442\u043e\u043b\u0431\u0435\u0446 \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u0435\u043b\u044f A \u043d\u0430 \u0441\u0442\u043e\u043b\u0431\u0435\u0446 \u043d\u0435\u0437\u0430\u0432\u0438\u0441\u0438\u043c\u044b\u0445 \u0447\u043b\u0435\u043d\u043e\u0432 \u0438 \u0434\u0435\u043b\u0438\u043c \u0435\u0433\u043e \u043d\u0430 \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u0435\u043b\u044c A:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f642a8cb2fd174e5c383a4df53e11a2e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\bm{y} = \\cfrac{\\begin{vmatrix} 4 &amp; 0 &amp; 1  \\\\[1.1ex] 1 &amp; 0 &amp; -3 \\\\[1.1ex] 3 &amp; 0 &amp; -m \\end{vmatrix}}{\\begin{vmatrix} A \\end{vmatrix}} = \\cfrac{0}{-5m-20} = \\bm{0}\" title=\"Rendered by QuickLaTeX.com\" height=\"113\" width=\"265\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0427\u0442\u043e\u0431\u044b \u0432\u044b\u0447\u0438\u0441\u043b\u0438\u0442\u044c z \u043f\u043e \u043f\u0440\u0430\u0432\u0438\u043b\u0443 \u041a\u0440\u0430\u043c\u0435\u0440\u0430, \u043c\u044b \u043c\u0435\u043d\u044f\u0435\u043c \u0442\u0440\u0435\u0442\u0438\u0439 \u0441\u0442\u043e\u043b\u0431\u0435\u0446 \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u0435\u043b\u044f A \u043d\u0430 \u0441\u0442\u043e\u043b\u0431\u0435\u0446 \u043d\u0435\u0437\u0430\u0432\u0438\u0441\u0438\u043c\u044b\u0445 \u0447\u043b\u0435\u043d\u043e\u0432 \u0438 \u0434\u0435\u043b\u0438\u043c \u0435\u0433\u043e \u043d\u0430 \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u0435\u043b\u044c A:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-5020a9ba4995b9715d8d1fb4720952b1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\bm{z} = \\cfrac{\\begin{vmatrix}4 &amp; -1 &amp; 0 \\\\[1.1ex] 1 &amp; 1 &amp; 0 \\\\[1.1ex] 3 &amp; -2 &amp; 0 \\end{vmatrix}}{\\begin{vmatrix} A \\end{vmatrix}} = \\cfrac{0}{-5m-20} = \\bm{0}\" title=\"Rendered by QuickLaTeX.com\" height=\"113\" width=\"258\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0421\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u043e, \u0440\u0435\u0448\u0435\u043d\u0438\u0435 \u0441\u0438\u0441\u0442\u0435\u043c\u044b \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0439 \u0434\u043b\u044f \u0441\u043b\u0443\u0447\u0430\u044f m\u2260-4 \u0438\u043c\u0435\u0435\u0442 \u0432\u0438\u0434:<\/p>\n<p class=\"has-text-align-center\"> <strong>\u0445=0 \u0443=0 z=0<\/strong><\/p>\n<p class=\"has-text-align-left\" style=\"font-size:26px\"> <span style=\"color:#1976d2;\"><strong>\u043c=-4:<\/strong><\/span><\/p>\n<p class=\"has-text-align-left\"> \u0422\u0435\u043f\u0435\u0440\u044c \u043c\u044b \u043f\u0440\u043e\u0430\u043d\u0430\u043b\u0438\u0437\u0438\u0440\u0443\u0435\u043c \u0441\u0438\u0441\u0442\u0435\u043c\u0443, \u043a\u043e\u0433\u0434\u0430 \u043f\u0430\u0440\u0430\u043c\u0435\u0442\u0440 m \u0440\u0430\u0432\u0435\u043d -4. \u0412 \u044d\u0442\u043e\u043c \u0441\u043b\u0443\u0447\u0430\u0435 \u043c\u0430\u0442\u0440\u0438\u0446\u044b A \u0438 A&#8217; \u0438\u043c\u0435\u044e\u0442 \u0432\u0438\u0434:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-e585e6465d27ea27ccc2c1a6ec1fe9ae_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  A= \\left( \\begin{array}{ccc} 4 &amp; -1 &amp; 1 \\\\[1.1ex] 1 &amp; 1 &amp; -3 \\\\[1.1ex] 3 &amp; -2 &amp; 4 \\end{array} \\right) \\qquad A'= \\left( \\begin{array}{ccc|c}4 &amp; -1 &amp; 1 &amp; 0 \\\\[1.1ex] 1 &amp; 1 &amp; -3 &amp; 0 \\\\[1.1ex] 3 &amp; -2 &amp; 4 &amp; 0\\end{array} \\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"85\" width=\"405\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u041a\u0430\u043a \u043c\u044b \u0432\u0438\u0434\u0435\u043b\u0438 \u0440\u0430\u043d\u0435\u0435, \u043f\u0440\u0438 m=-4 \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u0435\u043b\u044c A \u0440\u0430\u0432\u0435\u043d 0. \u0418\u0442\u0430\u043a, \u043c\u0430\u0442\u0440\u0438\u0446\u0430 A \u043d\u0435 \u0438\u043c\u0435\u0435\u0442 \u0440\u0430\u043d\u0433\u0430 3. \u041d\u043e \u0432\u043d\u0443\u0442\u0440\u0438 \u043d\u0435\u0435 \u0435\u0441\u0442\u044c 2\u00d72 \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u0435\u043b\u044f, \u043e\u0442\u043b\u0438\u0447\u043d\u044b\u0445 \u043e\u0442 0, \u043d\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-a62d150aef4ec798814d25c988b0afd7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle   \\begin{vmatrix}4 &amp; -1 \\\\[1.1ex] 1 &amp; 1 \\end{vmatrix} =4-(-1)=5 \\neq 0\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"213\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \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, \u043c\u0430\u0442\u0440\u0438\u0446\u0430 A \u0438\u043c\u0435\u0435\u0442 \u0440\u0430\u043d\u0433 2:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-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-39fc49c7a63920c8956703a4851ecfc0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\begin{vmatrix} -1 &amp; 1 &amp; 0 \\\\[1.1ex] 1 &amp; -3 &amp; 0 \\\\[1.1ex]  -2 &amp; 4 &amp; 0 \\end{vmatrix} = 0 \\quad \\begin{vmatrix}4 &amp; 1 &amp; 0 \\\\[1.1ex] 1 &amp;  -3 &amp; 0 \\\\[1.1ex] 3 &amp;  4 &amp; 0  \\end{vmatrix} = 0 \\quad \\begin{vmatrix}4 &amp; -1 &amp;  0 \\\\[1.1ex] 1 &amp; 1 &amp; 0 \\\\[1.1ex] 3 &amp; -2 &amp;  0\\end{vmatrix} = 0\" title=\"Rendered by QuickLaTeX.com\" height=\"86\" width=\"404\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \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-a62d150aef4ec798814d25c988b0afd7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle   \\begin{vmatrix}4 &amp; -1 \\\\[1.1ex] 1 &amp; 1 \\end{vmatrix} =4-(-1)=5 \\neq 0\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"213\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0422\u0430\u043a\u0438\u043c \u043e\u0431\u0440\u0430\u0437\u043e\u043c, \u043c\u0430\u0442\u0440\u0438\u0446\u0430 A&#8217; \u0431\u0443\u0434\u0435\u0442 \u0438\u043c\u0435\u0442\u044c \u0440\u0430\u043d\u0433 2:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-80398cfd2fff647f81c0d4160f3b2f7e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  rg(A')=2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"81\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0420\u0430\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 \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 \u0432 \u0441\u0438\u0441\u0442\u0435\u043c\u0435 (3), \u043f\u043e\u044d\u0442\u043e\u043c\u0443, \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, c \u043f\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u043b\u044f\u0435\u0442 \u0441\u043e\u0431\u043e\u0439 \u043d\u0435\u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u043d\u0443\u044e \u0441\u043e\u0432\u043c\u0435\u0441\u0442\u0438\u043c\u0443\u044e \u0441\u0438\u0441\u0442\u0435\u043c\u0443 (ICS):<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f43fdf4978386c61d18f9bb5b5883881_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\begin{array}{c} \\begin{array}{c} \\color{black}rg(A) = 2 \\\\[1.3ex] \\color{black}rg(A')=2 \\\\[1.3ex] \\color{black}\\text{N\\'umero de inc\\'ognitas} = 3 \\end{array}} \\\\ \\\\ \\color{blue} \\boxed{ \\color{black}\\phantom{^9_9} rg(A) = rg(A') = 2 \\ < \\ n =3 \\color{blue} \\ \\bm{\\longrightarrow} \\ \\color{black} \\bm{SCI}\\phantom{^9_9}} \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"138\" width=\"475\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u042d\u0442\u043e \u0441\u0438\u0441\u0442\u0435\u043c\u0430 ICS, \u043f\u043e\u044d\u0442\u043e\u043c\u0443 \u043d\u0430\u043c \u043d\u0435\u043e\u0431\u0445\u043e\u0434\u0438\u043c\u043e \u043f\u0440\u0435\u043e\u0431\u0440\u0430\u0437\u043e\u0432\u0430\u0442\u044c \u0441\u0438\u0441\u0442\u0435\u043c\u0443 \u0434\u043b\u044f \u0435\u0435 \u0440\u0435\u0448\u0435\u043d\u0438\u044f. \u0423\u0441\u0442\u0440\u0430\u043d\u0438\u043c \u0441\u043d\u0430\u0447\u0430\u043b\u0430 \u043e\u0434\u043d\u043e \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435, \u043a\u043e\u0442\u043e\u0440\u043e\u0435 \u0432 \u0434\u0430\u043d\u043d\u043e\u043c \u0441\u043b\u0443\u0447\u0430\u0435 \u0431\u0443\u0434\u0435\u0442 \u043f\u043e\u0441\u043b\u0435\u0434\u043d\u0438\u043c:<\/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-4d5499fda37d3cbf56fbf6ecbfc6bfba_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{cases} 4x-y+z= 0 \\\\[1.5ex] x+y-3z=0 \\\\[1.5ex] \\cancel{3x-2y+4z = 0} \\end{cases} \\longrightarrow \\quad \\begin{cases} 4x-y+z= 0 \\\\[1.5ex] x+y-3z=0\\end{cases}\" title=\"Rendered by QuickLaTeX.com\" height=\"97\" width=\"349\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0422\u0435\u043f\u0435\u0440\u044c \u043f\u0440\u0435\u043e\u0431\u0440\u0430\u0437\u0443\u0435\u043c \u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u0443\u044e z \u0432 \u03bb:<\/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-96ea68274b072531365282e01d926718_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{cases}4x-y+z= 0 \\\\[1.5ex] x+y-3z=0 \\end{cases} \\xrightarrow{z \\ = \\ \\lambda}\\quad \\begin{cases} 4x-y+\\lambda= 0 \\\\[1.5ex] x+y-3\\lambda=0\\end{cases}\" title=\"Rendered by QuickLaTeX.com\" height=\"65\" width=\"353\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0418 \u0447\u043b\u0435\u043d\u044b \u0441 \u03bb \u0441\u0442\u0430\u0432\u0438\u043c \u0441 \u043d\u0435\u0437\u0430\u0432\u0438\u0441\u0438\u043c\u044b\u043c\u0438 \u0447\u043b\u0435\u043d\u0430\u043c\u0438:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-6192715e62cc8e3d3fe4c51da8629c70_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{cases} 4x-y=-\\lambda \\\\[1.5ex] x+y=3\\lambda \\end{cases}\" title=\"Rendered by QuickLaTeX.com\" height=\"65\" width=\"110\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0422\u0430\u043a\u043e\u0433\u043e, \u0447\u0442\u043e \u043c\u0430\u0442\u0440\u0438\u0446\u0430 A \u0438 \u043c\u0430\u0442\u0440\u0438\u0446\u0430 A&#8217; \u0441\u0438\u0441\u0442\u0435\u043c\u044b \u043e\u0441\u0442\u0430\u044e\u0442\u0441\u044f: <\/p>\n<p 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-99a91208ff1742f81e799aa5ab7f9097_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  A= \\left( \\begin{array}{ccc} 4 &amp; -1 \\\\[1.1ex] 1 &amp; 1 \\end{array} \\right) \\qquad A'= \\left( \\begin{array}{cc|c} 4 &amp; -1 &amp; -\\lambda \\\\[1.1ex] 1 &amp; 1 &amp; 3\\lambda \\end{array} \\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"337\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u041d\u0430\u043a\u043e\u043d\u0435\u0446, \u043f\u0440\u0435\u043e\u0431\u0440\u0430\u0437\u043e\u0432\u0430\u0432 \u0441\u0438\u0441\u0442\u0435\u043c\u0443, \u043c\u044b \u043f\u0440\u0438\u043c\u0435\u043d\u044f\u0435\u043c \u043f\u0440\u0430\u0432\u0438\u043b\u043e \u041a\u0440\u0430\u043c\u0435\u0440\u0430. \u0414\u043b\u044f \u044d\u0442\u043e\u0433\u043e \u0441\u043d\u0430\u0447\u0430\u043b\u0430 \u0440\u0435\u0448\u0438\u043c \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u0435\u043b\u044c \u0410:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-34832b783ddaf4af205302240d0feafb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\begin{vmatrix}A \\end{vmatrix}= \\begin{vmatrix} 4 &amp; -1 \\\\[1.1ex] 1 &amp; 1 \\end{vmatrix} = 4-(-1)=5\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"228\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0427\u0442\u043e\u0431\u044b \u0432\u044b\u0447\u0438\u0441\u043b\u0438\u0442\u044c x \u043f\u043e \u043f\u0440\u0430\u0432\u0438\u043b\u0443 \u041a\u0440\u0430\u043c\u0435\u0440\u0430, \u043c\u044b \u0437\u0430\u043c\u0435\u043d\u0438\u043c \u043f\u0435\u0440\u0432\u044b\u0439 \u0441\u0442\u043e\u043b\u0431\u0435\u0446 \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u0435\u043b\u044f A \u043d\u0430 \u0441\u0442\u043e\u043b\u0431\u0435\u0446 \u043d\u0435\u0437\u0430\u0432\u0438\u0441\u0438\u043c\u044b\u0445 \u0447\u043b\u0435\u043d\u043e\u0432 \u0438 \u0440\u0430\u0437\u0434\u0435\u043b\u0438\u043c \u0435\u0433\u043e \u043d\u0430 \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u0435\u043b\u044c A:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-362167d2eaa02d7243dedd5c385d08b1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\bm{x} = \\cfrac{\\begin{vmatrix}-\\lambda &amp; -1 \\\\[1.1ex] 3\\lambda &amp; 1 \\end{vmatrix}}{\\begin{vmatrix} A \\end{vmatrix}} = \\cfrac{-\\lambda-(-3\\lambda)}{5} =\\cfrac{\\bm{2\\lambda}}{\\bm{5}}\" title=\"Rendered by QuickLaTeX.com\" height=\"81\" width=\"285\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0427\u0442\u043e\u0431\u044b \u0432\u044b\u0447\u0438\u0441\u043b\u0438\u0442\u044c \u043d\u0435\u0438\u0437\u0432\u0435\u0441\u0442\u043d\u043e\u0435 \u043f\u043e \u043f\u0440\u0430\u0432\u0438\u043b\u0443 \u041a\u0440\u0430\u043c\u0435\u0440\u0430, \u043c\u044b \u043c\u0435\u043d\u044f\u0435\u043c \u0432\u0442\u043e\u0440\u043e\u0439 \u0441\u0442\u043e\u043b\u0431\u0435\u0446 \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u0435\u043b\u044f A \u043d\u0430 \u0441\u0442\u043e\u043b\u0431\u0435\u0446 \u043d\u0435\u0437\u0430\u0432\u0438\u0441\u0438\u043c\u044b\u0445 \u0447\u043b\u0435\u043d\u043e\u0432 \u0438 \u0434\u0435\u043b\u0438\u043c \u0435\u0433\u043e \u043d\u0430 \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u0435\u043b\u044c A:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-ede5a3a87ac0bb9ceea4232ec7b381fd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\bm{y} = \\cfrac{\\begin{vmatrix} 4 &amp; -\\lambda \\\\[1.1ex] 1 &amp; 3\\lambda \\end{vmatrix}}{\\begin{vmatrix} A \\end{vmatrix}} = \\cfrac{12\\lambda-(-\\lambda)}{5}=\\cfrac{\\bm{13\\lambda}}{\\bm{5}}\" title=\"Rendered by QuickLaTeX.com\" height=\"81\" width=\"267\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0418\u0442\u0430\u043a, \u043f\u0440\u0438 m=-4 \u0440\u0435\u0448\u0435\u043d\u0438\u0435 \u0441\u0438\u0441\u0442\u0435\u043c\u044b \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0439 \u044f\u0432\u043b\u044f\u0435\u0442\u0441\u044f \u0444\u0443\u043d\u043a\u0446\u0438\u0435\u0439 \u03bb, \u043f\u043e\u0441\u043a\u043e\u043b\u044c\u043a\u0443 \u043e\u043d\u0430 \u044f\u0432\u043b\u044f\u0435\u0442\u0441\u044f SCI \u0438, \u0441\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u043e, \u0438\u043c\u0435\u0435\u0442 \u0431\u0435\u0441\u043a\u043e\u043d\u0435\u0447\u043d\u044b\u0435 \u0440\u0435\u0448\u0435\u043d\u0438\u044f: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-316aed1af52eba51058c3c753717c1af_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\bm{x =}\\cfrac{\\bm{2\\lambda}}{\\bm{5}}\\qquad \\bm{y=}\\cfrac{\\bm{13\\lambda}}{\\bm{5}} \\qquad \\bm{z=\\lambda}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"222\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/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 2<\/h3>\n<p> \u041e\u0431\u0441\u0443\u0434\u0438\u0442\u0435 \u0438 \u043d\u0430\u0439\u0434\u0438\u0442\u0435 \u0440\u0435\u0448\u0435\u043d\u0438\u0435 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0435\u0439 \u0441\u0438\u0441\u0442\u0435\u043c\u044b \u043b\u0438\u043d\u0435\u0439\u043d\u044b\u0445 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0439, \u0437\u0430\u0432\u0438\u0441\u044f\u0449\u0438\u0445 \u043e\u0442 \u043f\u0430\u0440\u0430\u043c\u0435\u0442\u0440\u043e\u0432: <\/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-etape-par-etape-d-un-systeme-d-equations-lineaires-avec-parametres.webp\" alt=\"\u0432\u044b\u043f\u043e\u043b\u043d\u0438\u0442\u044c \u043f\u043e\u0448\u0430\u0433\u043e\u0432\u043e\u0435 \u0440\u0435\u0448\u0435\u043d\u0438\u0435 \u0441\u0438\u0441\u0442\u0435\u043c\u044b \u043b\u0438\u043d\u0435\u0439\u043d\u044b\u0445 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0439 \u0441 \u043f\u0430\u0440\u0430\u043c\u0435\u0442\u0440\u0430\u043c\u0438\" class=\"wp-image-4020\" width=\"187\" height=\"122\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E3F2FD boto_ver_solucion\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E3F2FD\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"> <strong>\u043f\u043e\u0441\u043c\u043e\u0442\u0440\u0435\u0442\u044c \u0440\u0435\u0448\u0435\u043d\u0438\u0435<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\"> \u041f\u0435\u0440\u0432\u043e\u0435, \u0447\u0442\u043e \u043d\u0443\u0436\u043d\u043e \u0441\u0434\u0435\u043b\u0430\u0442\u044c, \u044d\u0442\u043e \u043c\u0430\u0442\u0440\u0438\u0446\u0430 A \u0438 \u0440\u0430\u0441\u0448\u0438\u0440\u0435\u043d\u043d\u0430\u044f \u043c\u0430\u0442\u0440\u0438\u0446\u0430 A&#8217; \u0441\u0438\u0441\u0442\u0435\u043c\u044b:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-e924dd1b3fe5c0da561b92da9bf5da3b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  A= \\left( \\begin{array}{ccc} m &amp; 2 &amp; 1 \\\\[1.1ex] 2 &amp; 4 &amp; 2 \\\\[1.1ex] 1 &amp; -2 &amp; m\\end{array} \\right) \\qquad A'= \\left( \\begin{array}{ccc|c}m &amp; 2 &amp; 1 &amp; 2 \\\\[1.1ex] 2 &amp; 4 &amp; 2 &amp; 0 \\\\[1.1ex] 1 &amp; -2 &amp; m &amp; 3\\end{array} \\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"85\" width=\"404\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0422\u0435\u043f\u0435\u0440\u044c \u043c\u044b \u0434\u043e\u043b\u0436\u043d\u044b \u043d\u0430\u0439\u0442\u0438 \u0440\u0430\u043d\u0433 \u043c\u0430\u0442\u0440\u0438\u0446\u044b \u0410. \u0414\u043b\u044f \u044d\u0442\u043e\u0433\u043e \u043f\u0440\u043e\u0432\u0435\u0440\u044f\u0435\u043c, \u043e\u0442\u043b\u0438\u0447\u0435\u043d \u043b\u0438 \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u0435\u043b\u044c \u0432\u0441\u0435\u0439 \u043c\u0430\u0442\u0440\u0438\u0446\u044b \u043e\u0442 0:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-5d0f8dbb7408ac6521e0144ac2f3a8a3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\begin{aligned}\\begin{vmatrix}A \\end{vmatrix}= \\begin{vmatrix}m &amp; 2 &amp; 1 \\\\[1.1ex] 2 &amp; 4 &amp; 2 \\\\[1.1ex] 1 &amp; -2 &amp; m\\end{vmatrix} &amp; =4m^2+4-4-4+4m-4m \\\\ &amp; =4m^2-4 \\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"108\" width=\"384\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0420\u0435\u0437\u0443\u043b\u044c\u0442\u0430\u0442 \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u0435\u043b\u044f A \u0437\u0430\u0432\u0438\u0441\u0438\u0442 \u043e\u0442 \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u044f m. \u041f\u043e\u044d\u0442\u043e\u043c\u0443 \u043c\u044b \u0443\u0432\u0438\u0434\u0438\u043c, \u043f\u0440\u0438 \u043a\u0430\u043a\u0438\u0445 \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u044f\u0445 m \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u0435\u043b\u044c \u043e\u0431\u0440\u0430\u0449\u0430\u0435\u0442\u0441\u044f \u0432 \u043d\u0443\u043b\u044c. \u0414\u043b\u044f \u044d\u0442\u043e\u0433\u043e \u043f\u0440\u0438\u0440\u0430\u0432\u043d\u0438\u0432\u0430\u0435\u043c \u043f\u043e\u043b\u0443\u0447\u0435\u043d\u043d\u044b\u0439 \u0440\u0435\u0437\u0443\u043b\u044c\u0442\u0430\u0442 \u043a 0 \u0438 \u0440\u0435\u0448\u0430\u0435\u043c \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-059d7760bb8cee65e13e43a97e156e1a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"4m^2-4 = 0\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"95\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-1aae0b3268b7d9e348b8eb80ce957ce8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"4m^2=4\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"65\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-1f31504086ef5ec070b337db57ad444f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"m^2 = \\cfrac{4}{4}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"58\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-baf4ba1311e2f2ce47aecfb90a411b64_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"m^2 = 1\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"55\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-c8dda3f9896a1a4dece5059a485cdcfb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"m = \\pm 1\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"61\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0418\u0442\u0430\u043a, \u043a\u043e\u0433\u0434\u0430 m \u0440\u0430\u0432\u043d\u043e +1 \u0438\u043b\u0438 -1, \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u0435\u043b\u044c A \u0431\u0443\u0434\u0435\u0442 0. \u0410 \u043a\u043e\u0433\u0434\u0430 m \u043e\u0442\u043b\u0438\u0447\u0430\u0435\u0442\u0441\u044f \u043e\u0442 +1 \u0438 -1, \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u0435\u043b\u044c A \u0431\u0443\u0434\u0435\u0442 \u043e\u0442\u043b\u0438\u0447\u0430\u0442\u044c\u0441\u044f \u043e\u0442 0. \u041f\u043e\u044d\u0442\u043e\u043c\u0443 \u043c\u044b \u0434\u043e\u043b\u0436\u043d\u044b \u043f\u0440\u043e\u0430\u043d\u0430\u043b\u0438\u0437\u0438\u0440\u043e\u0432\u0430\u0442\u044c \u043a\u0430\u0436\u0434\u044b\u0439 \u0441\u043b\u0443\u0447\u0430\u0439 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u043c \u043e\u0431\u0440\u0430\u0437\u043e\u043c:<\/p>\n<p class=\"has-text-align-left\" style=\"font-size:26px\"> <span style=\"color:#1976d2;\"><strong>\u043c\u2260+1 \u0438 \u043c\u2260-1:<\/strong><\/span><\/p>\n<p class=\"has-text-align-left\"> \u041a\u0430\u043a \u043c\u044b \u0442\u043e\u043b\u044c\u043a\u043e \u0447\u0442\u043e \u0432\u0438\u0434\u0435\u043b\u0438, \u043a\u043e\u0433\u0434\u0430 \u043f\u0430\u0440\u0430\u043c\u0435\u0442\u0440 m \u043e\u0442\u043b\u0438\u0447\u0430\u0435\u0442\u0441\u044f \u043e\u0442 +1 \u0438 -1, \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u0435\u043b\u044c \u043c\u0430\u0442\u0440\u0438\u0446\u044b A \u043e\u0442\u043b\u0438\u0447\u0435\u043d \u043e\u0442 0. \u0421\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u043e, \u0440\u0430\u043d\u0433 \u043c\u0430\u0442\u0440\u0438\u0446\u044b A \u0440\u0430\u0432\u0435\u043d 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-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\"> \u0411\u043e\u043b\u0435\u0435 \u0442\u043e\u0433\u043e, \u0440\u0430\u043d\u0433 \u043c\u0430\u0442\u0440\u0438\u0446\u044b \u0410&#8217; \u0442\u043e\u0436\u0435 \u0440\u0430\u0432\u0435\u043d 3, \u043f\u043e\u0441\u043a\u043e\u043b\u044c\u043a\u0443 \u0432\u043d\u0443\u0442\u0440\u0438 \u043d\u0435\u0435 \u0435\u0441\u0442\u044c \u043f\u043e\u0434\u043c\u0430\u0442\u0440\u0438\u0446\u0430 \u0440\u0430\u0437\u043c\u0435\u0440\u0430 3\u00d73, \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. \u0418 \u043e\u043d\u0430 \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 \u00ab\u043c\u044b \u043d\u0435 \u043c\u043e\u0436\u0435\u043c \u0441\u043e\u0441\u0442\u0430\u0432\u0438\u0442\u044c \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\"> \u0421\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u043e, \u043f\u0440\u0438\u043c\u0435\u043d\u044f\u044f <strong>\u0442\u0435\u043e\u0440\u0435\u043c\u0443 \u0420\u0443\u0448\u0435-\u0424\u0440\u043e\u0431\u0435\u043d\u0438\u0443\u0441\u0430,<\/strong> \u043c\u044b \u0437\u043d\u0430\u0435\u043c, \u0447\u0442\u043e \u044d\u0442\u043e <strong>\u0441\u043e\u0432\u043c\u0435\u0441\u0442\u0438\u043c\u0430\u044f \u0434\u0435\u0442\u0435\u0440\u043c\u0438\u043d\u0438\u0440\u043e\u0432\u0430\u043d\u043d\u0430\u044f \u0441\u0438\u0441\u0442\u0435\u043c\u0430<\/strong> (SCD), \u043f\u043e\u0441\u043a\u043e\u043b\u044c\u043a\u0443 \u0434\u0438\u0430\u043f\u0430\u0437\u043e\u043d A \u0440\u0430\u0432\u0435\u043d \u0434\u0438\u0430\u043f\u0430\u0437\u043e\u043d\u0443 A&#8217; \u0438 \u0447\u0438\u0441\u043b\u0443 \u043d\u0435\u0438\u0437\u0432\u0435\u0441\u0442\u043d\u044b\u0445.<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-31b495a48a75d7af1f23e38818bf4eca_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\begin{array}{c} \\begin{array}{c} \\color{black}rg(A) = 3 \\\\[1.3ex] \\color{black}rg(A')=3 \\\\[1.3ex] \\color{black}\\text{N\\'umero de inc\\'ognitas} = 3 \\end{array}} \\\\ \\\\ \\color{blue} \\boxed{ \\color{black}\\phantom{^9_9} rg(A) = rg(A') = n = 3 \\color{blue} \\ \\bm{\\longrightarrow} \\ \\color{black} \\bm{SCD}\\phantom{^9_9}} \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"138\" width=\"436\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u041a\u0430\u043a \u0442\u043e\u043b\u044c\u043a\u043e \u043c\u044b \u0443\u0437\u043d\u0430\u0435\u043c, \u0447\u0442\u043e \u0441\u0438\u0441\u0442\u0435\u043c\u0430 \u043f\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u043b\u044f\u0435\u0442 \u0441\u043e\u0431\u043e\u0439 SCD, \u043c\u044b \u043f\u0440\u0438\u043c\u0435\u043d\u0438\u043c \u043f\u0440\u0430\u0432\u0438\u043b\u043e \u041a\u0440\u0430\u043c\u0435\u0440\u0430 \u0434\u043b\u044f \u0435\u0435 \u0440\u0435\u0448\u0435\u043d\u0438\u044f. \u0414\u043b\u044f \u044d\u0442\u043e\u0433\u043e \u043d\u0430\u043f\u043e\u043c\u043d\u0438\u043c, \u0447\u0442\u043e \u043c\u0430\u0442\u0440\u0438\u0446\u0430 \u0410, \u0435\u0435 \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u0435\u043b\u044c \u0438 \u043c\u0430\u0442\u0440\u0438\u0446\u0430 \u0410&#8217; \u0440\u0430\u0432\u043d\u044b: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-e924dd1b3fe5c0da561b92da9bf5da3b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  A= \\left( \\begin{array}{ccc} m &amp; 2 &amp; 1 \\\\[1.1ex] 2 &amp; 4 &amp; 2 \\\\[1.1ex] 1 &amp; -2 &amp; m\\end{array} \\right) \\qquad A'= \\left( \\begin{array}{ccc|c}m &amp; 2 &amp; 1 &amp; 2 \\\\[1.1ex] 2 &amp; 4 &amp; 2 &amp; 0 \\\\[1.1ex] 1 &amp; -2 &amp; m &amp; 3\\end{array} \\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"85\" width=\"404\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-b5114be5e37d2c91f02f22fba22edc42_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\begin{vmatrix}A \\end{vmatrix}= \\begin{vmatrix}m &amp; 2 &amp; 1 \\\\[1.1ex] 2 &amp; 4 &amp; 2 \\\\[1.1ex] 1 &amp; -2 &amp; m\\end{vmatrix}=4m^2-4\" title=\"Rendered by QuickLaTeX.com\" height=\"86\" width=\"231\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0427\u0442\u043e\u0431\u044b \u0432\u044b\u0447\u0438\u0441\u043b\u0438\u0442\u044c x \u043f\u043e \u043f\u0440\u0430\u0432\u0438\u043b\u0443 \u041a\u0440\u0430\u043c\u0435\u0440\u0430, \u043c\u044b \u043c\u0435\u043d\u044f\u0435\u043c \u043f\u0435\u0440\u0432\u044b\u0439 \u0441\u0442\u043e\u043b\u0431\u0435\u0446 \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u0435\u043b\u044f A \u043d\u0430 \u0441\u0442\u043e\u043b\u0431\u0435\u0446 \u043d\u0435\u0437\u0430\u0432\u0438\u0441\u0438\u043c\u044b\u0445 \u0447\u043b\u0435\u043d\u043e\u0432 \u0438 \u0434\u0435\u043b\u0438\u043c \u0435\u0433\u043e \u043d\u0430 \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u0435\u043b\u044c A:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-4b7402e02ee62bd78a6f880d3d122119_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\bm{x} = \\cfrac{\\begin{vmatrix} 2&amp; 2 &amp; 1 \\\\[1.1ex] 0 &amp; 4 &amp; 2 \\\\[1.1ex] 3 &amp; -2 &amp; m\\end{vmatrix}}{\\begin{vmatrix} A \\end{vmatrix}} = \\cfrac{\\bm{8m+8}}{\\bm{4m^2-4}}\" title=\"Rendered by QuickLaTeX.com\" height=\"113\" width=\"218\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0427\u0442\u043e\u0431\u044b \u0432\u044b\u0447\u0438\u0441\u043b\u0438\u0442\u044c \u043d\u0435\u0438\u0437\u0432\u0435\u0441\u0442\u043d\u043e\u0435 \u043f\u043e \u043f\u0440\u0430\u0432\u0438\u043b\u0443 \u041a\u0440\u0430\u043c\u0435\u0440\u0430, \u043c\u044b \u043c\u0435\u043d\u044f\u0435\u043c \u0432\u0442\u043e\u0440\u043e\u0439 \u0441\u0442\u043e\u043b\u0431\u0435\u0446 \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u0435\u043b\u044f A \u043d\u0430 \u0441\u0442\u043e\u043b\u0431\u0435\u0446 \u043d\u0435\u0437\u0430\u0432\u0438\u0441\u0438\u043c\u044b\u0445 \u0447\u043b\u0435\u043d\u043e\u0432 \u0438 \u0434\u0435\u043b\u0438\u043c \u0435\u0433\u043e \u043d\u0430 \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u0435\u043b\u044c A:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-551c66a9530d0195a9a4ff64d42350c4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\bm{y} = \\cfrac{\\begin{vmatrix} m &amp; 2 &amp; 1 \\\\[1.1ex] 2 &amp; 0 &amp; 2 \\\\[1.1ex] 1 &amp; 3 &amp; m\\end{vmatrix}}{\\begin{vmatrix} A \\end{vmatrix}} = \\cfrac{\\bm{-10m+10}}{\\bm{4m^2-4}}\" title=\"Rendered by QuickLaTeX.com\" height=\"113\" width=\"235\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0427\u0442\u043e\u0431\u044b \u0432\u044b\u0447\u0438\u0441\u043b\u0438\u0442\u044c z \u043f\u043e \u043f\u0440\u0430\u0432\u0438\u043b\u0443 \u041a\u0440\u0430\u043c\u0435\u0440\u0430, \u043c\u044b \u0437\u0430\u043c\u0435\u043d\u0438\u043c \u0442\u0440\u0435\u0442\u0438\u0439 \u0441\u0442\u043e\u043b\u0431\u0435\u0446 \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u0435\u043b\u044f A \u043d\u0430 \u0441\u0442\u043e\u043b\u0431\u0435\u0446 \u043d\u0435\u0437\u0430\u0432\u0438\u0441\u0438\u043c\u044b\u0445 \u0447\u043b\u0435\u043d\u043e\u0432 \u0438 \u0440\u0430\u0437\u0434\u0435\u043b\u0438\u043c \u0435\u0433\u043e \u043d\u0430 \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u0435\u043b\u044c A:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-28375ce522b7644a745a9adea4c78ae7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\bm{z} = \\cfrac{\\begin{vmatrix}m &amp; 2 &amp; 2 \\\\[1.1ex] 2 &amp; 4 &amp; 0 \\\\[1.1ex] 1 &amp; -2 &amp; 3 \\end{vmatrix}}{\\begin{vmatrix} A \\end{vmatrix}} = \\cfrac{\\bm{12m-28}}{\\bm{4m^2-4}}\" title=\"Rendered by QuickLaTeX.com\" height=\"113\" width=\"227\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0421\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u043e, \u0440\u0435\u0448\u0435\u043d\u0438\u0435 \u0441\u0438\u0441\u0442\u0435\u043c\u044b \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0439 \u0434\u043b\u044f \u0441\u043b\u0443\u0447\u0430\u044f m\u2260+1 \u0438 m\u2260-1 \u0438\u043c\u0435\u0435\u0442 \u0432\u0438\u0434:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-59ecb2f1448989cd1c41af45e7bc4a32_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\bm{x = }\\cfrac{\\bm{8m+8}}{\\bm{4m^2-4}} \\qquad \\bm{y=}\\cfrac{\\bm{-10m+10}}{\\bm{4m^2-4}}\\qquad \\bm{z =} \\cfrac{\\bm{12m-28}}{\\bm{4m^2-4}}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"383\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\"font-size:26px\"> <span style=\"color:#1976d2;\"><strong>\u043c=+1:<\/strong><\/span><\/p>\n<p class=\"has-text-align-left\"> \u0422\u0435\u043f\u0435\u0440\u044c \u043c\u044b \u0431\u0443\u0434\u0435\u043c \u0430\u043d\u0430\u043b\u0438\u0437\u0438\u0440\u043e\u0432\u0430\u0442\u044c \u0441\u0438\u0441\u0442\u0435\u043c\u0443, \u043a\u043e\u0433\u0434\u0430 \u043f\u0430\u0440\u0430\u043c\u0435\u0442\u0440 m \u0440\u0430\u0432\u0435\u043d 1. \u0412 \u044d\u0442\u043e\u043c \u0441\u043b\u0443\u0447\u0430\u0435 \u043c\u0430\u0442\u0440\u0438\u0446\u044b A \u0438 A&#8217; \u0438\u043c\u0435\u044e\u0442 \u0432\u0438\u0434:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f6af272a99ed7c281ee8dd9199698686_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  A= \\left( \\begin{array}{ccc} 1 &amp; 2 &amp; 1 \\\\[1.1ex] 2 &amp; 4 &amp; 2 \\\\[1.1ex] 1 &amp; -2 &amp; 1 \\end{array} \\right) \\qquad A'= \\left( \\begin{array}{ccc|c}1 &amp; 2 &amp; 1 &amp; 2 \\\\[1.1ex] 2 &amp; 4 &amp; 2 &amp; 0 \\\\[1.1ex] 1 &amp; -2 &amp; 1 &amp; 3\\end{array} \\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"85\" width=\"377\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u041a\u0430\u043a \u043c\u044b \u0432\u0438\u0434\u0435\u043b\u0438 \u0440\u0430\u043d\u0435\u0435, \u043a\u043e\u0433\u0434\u0430 m=+1 \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u0435\u043b\u044c A \u0440\u0430\u0432\u0435\u043d 0. \u0422\u0430\u043a\u0438\u043c \u043e\u0431\u0440\u0430\u0437\u043e\u043c, \u043c\u0430\u0442\u0440\u0438\u0446\u0430 A \u043d\u0435 \u0438\u043c\u0435\u0435\u0442 \u0440\u0430\u043d\u0433\u0430 3. \u041d\u043e \u0432\u043d\u0443\u0442\u0440\u0438 \u043d\u0435\u0435 \u0435\u0441\u0442\u044c 2\u00d72 \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u0435\u043b\u044f, \u043e\u0442\u043b\u0438\u0447\u043d\u044b\u0445 \u043e\u0442 0, \u043d\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-ebedf6c9e4316844dc99ceca9472fac5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle   \\begin{vmatrix}2 &amp; 4\\\\[1.1ex] 1 &amp; -2 \\end{vmatrix} =-4-4=-8 \\neq 0\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"213\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \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, \u043c\u0430\u0442\u0440\u0438\u0446\u0430 A \u0438\u043c\u0435\u0435\u0442 \u0440\u0430\u043d\u0433 2:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-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 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-4d0109b155be9f87a0cee337ddec5517_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\begin{vmatrix} 2 &amp; 1 &amp; 2 \\\\[1.1ex] 4 &amp; 2 &amp; 0 \\\\[1.1ex]  -2 &amp; 1 &amp; 3 \\end{vmatrix} = 16\" title=\"Rendered by QuickLaTeX.com\" height=\"86\" width=\"124\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \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 3\u00d73, \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, \u0442\u0430\u043a \u0447\u0442\u043e \u043c\u0430\u0442\u0440\u0438\u0446\u0430 A&#8217; \u0438\u043c\u0435\u0435\u0442 \u0440\u0430\u043d\u0433 3:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-150bbc9c8e363db471c2d5bc4f33e1fd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  rg(A')=3\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"82\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0422\u0430\u043a\u0438\u043c \u043e\u0431\u0440\u0430\u0437\u043e\u043c, \u043a\u043e\u0433\u0434\u0430 m=+1, \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;. \u0422\u0430\u043a\u0438\u043c \u043e\u0431\u0440\u0430\u0437\u043e\u043c, \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 \u0434\u0435\u043b\u0430\u0435\u043c \u0432\u044b\u0432\u043e\u0434, \u0447\u0442\u043e \u0441\u0438\u0441\u0442\u0435\u043c\u0430 \u044f\u0432\u043b\u044f\u0435\u0442\u0441\u044f \u043d\u0435\u0441\u043e\u0432\u043c\u0435\u0441\u0442\u0438\u043c\u043e\u0439 \u0441\u0438\u0441\u0442\u0435\u043c\u043e\u0439 (\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-b2bb3fec88cf5c6d788afb4480ab1f58_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\begin{array}{c} \\begin{array}{c} \\color{black}rg(A) = 2 \\\\[1.3ex] \\color{black}rg(A')=3 \\\\[1.3ex] \\color{black}\\text{N\\'umero de inc\\'ognitas} = 3 \\end{array}} \\\\ \\\\ \\color{blue} \\boxed{ \\color{black}\\phantom{^9_9} rg(A) = 2 \\ \\neq \\ rg(A') = 3 \\color{blue} \\ \\bm{\\longrightarrow} \\ \\color{black} \\bm{SI}\\phantom{^9_9}} \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"138\" width=\"426\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0421\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u043e, \u0441\u0438\u0441\u0442\u0435\u043c\u0430 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0439 <strong>\u043d\u0435 \u0438\u043c\u0435\u0435\u0442 \u0440\u0435\u0448\u0435\u043d\u0438\u044f \u043f\u0440\u0438 m=+1<\/strong> , \u0442\u0430\u043a \u043a\u0430\u043a \u044d\u0442\u043e \u043d\u0435\u0441\u043e\u0432\u043c\u0435\u0441\u0442\u043d\u0430\u044f \u0441\u0438\u0441\u0442\u0435\u043c\u0430.<\/p>\n<p class=\"has-text-align-left\" style=\"font-size:26px\"> <span style=\"color:#1976d2;\"><strong>\u043c=-1:<\/strong><\/span><\/p>\n<p class=\"has-text-align-left\"> \u0422\u0435\u043f\u0435\u0440\u044c \u043c\u044b \u043f\u0440\u043e\u0430\u043d\u0430\u043b\u0438\u0437\u0438\u0440\u0443\u0435\u043c \u0441\u0438\u0441\u0442\u0435\u043c\u0443, \u043a\u043e\u0433\u0434\u0430 \u043f\u0430\u0440\u0430\u043c\u0435\u0442\u0440 m \u0440\u0430\u0432\u0435\u043d -1. \u0412 \u044d\u0442\u043e\u043c \u0441\u043b\u0443\u0447\u0430\u0435 \u043c\u0430\u0442\u0440\u0438\u0446\u044b A \u0438 A&#8217; \u0438\u043c\u0435\u044e\u0442 \u0432\u0438\u0434:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-46b0a00ef38d0e5a433b418de7eb1ec3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  A= \\left( \\begin{array}{ccc} -1 &amp; 2 &amp; 1 \\\\[1.1ex] 2 &amp; 4 &amp; 2 \\\\[1.1ex] 1 &amp; -2 &amp; -1 \\end{array} \\right) \\qquad A'= \\left( \\begin{array}{ccc|c}-1 &amp; 2 &amp; 1 &amp; 2 \\\\[1.1ex] 2 &amp; 4 &amp; 2 &amp; 0 \\\\[1.1ex] 1 &amp; -2 &amp; -1 &amp; 3\\end{array} \\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"85\" width=\"432\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u041a\u0430\u043a \u043c\u044b \u0432\u0438\u0434\u0435\u043b\u0438 \u0440\u0430\u043d\u0435\u0435, \u043f\u0440\u0438 m=-1 \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u0435\u043b\u044c A \u0440\u0430\u0432\u0435\u043d 0. \u0418\u0442\u0430\u043a, \u043c\u0430\u0442\u0440\u0438\u0446\u0430 A \u043d\u0435 \u0438\u043c\u0435\u0435\u0442 \u0440\u0430\u043d\u0433\u0430 3. \u041d\u043e \u0432\u043d\u0443\u0442\u0440\u0438 \u043d\u0435\u0435 \u0435\u0441\u0442\u044c 2\u00d72 \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u0435\u043b\u044f, \u043e\u0442\u043b\u0438\u0447\u043d\u044b\u0445 \u043e\u0442 0, \u043d\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-ff5373c7e7901f253421efbbd52d192e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle   \\begin{vmatrix}-1 &amp; 2\\\\[1.1ex] 2 &amp; 4 \\end{vmatrix} =-4-4=-8 \\neq 0\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"213\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \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, \u043c\u0430\u0442\u0440\u0438\u0446\u0430 A \u0438\u043c\u0435\u0435\u0442 \u0440\u0430\u043d\u0433 2:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-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 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\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 1, 3 \u0438 4 \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-a95e30910bd64db920f3c2bcb5f2ff62_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\begin{vmatrix} -1 &amp; 1 &amp; 2 \\\\[1.1ex] 2 &amp; 2 &amp; 0 \\\\[1.1ex] 1 &amp;  -1 &amp; 3\\end{vmatrix} = -20\" title=\"Rendered by QuickLaTeX.com\" height=\"86\" width=\"152\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \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 3\u00d73, \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, \u0442\u0430\u043a \u0447\u0442\u043e \u043c\u0430\u0442\u0440\u0438\u0446\u0430 A&#8217; \u0438\u043c\u0435\u0435\u0442 \u0440\u0430\u043d\u0433 3:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-150bbc9c8e363db471c2d5bc4f33e1fd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  rg(A')=3\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"82\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0422\u0430\u043a\u0438\u043c \u043e\u0431\u0440\u0430\u0437\u043e\u043c, \u043a\u043e\u0433\u0434\u0430 m = -1, \u0440\u0430\u043d\u0433 \u043c\u0430\u0442\u0440\u0438\u0446\u044b A \u043d\u0438\u0436\u0435 \u0440\u0430\u043d\u0433\u0430 \u043c\u0430\u0442\u0440\u0438\u0446\u044b A&#8217;. \u0422\u0430\u043a\u0438\u043c \u043e\u0431\u0440\u0430\u0437\u043e\u043c, \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 \u0434\u0435\u043b\u0430\u0435\u043c \u0432\u044b\u0432\u043e\u0434, \u0447\u0442\u043e \u0441\u0438\u0441\u0442\u0435\u043c\u0430 \u044f\u0432\u043b\u044f\u0435\u0442\u0441\u044f \u043d\u0435\u0441\u043e\u0432\u043c\u0435\u0441\u0442\u0438\u043c\u043e\u0439 \u0441\u0438\u0441\u0442\u0435\u043c\u043e\u0439 (\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-b2bb3fec88cf5c6d788afb4480ab1f58_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\begin{array}{c} \\begin{array}{c} \\color{black}rg(A) = 2 \\\\[1.3ex] \\color{black}rg(A')=3 \\\\[1.3ex] \\color{black}\\text{N\\'umero de inc\\'ognitas} = 3 \\end{array}} \\\\ \\\\ \\color{blue} \\boxed{ \\color{black}\\phantom{^9_9} rg(A) = 2 \\ \\neq \\ rg(A') = 3 \\color{blue} \\ \\bm{\\longrightarrow} \\ \\color{black} \\bm{SI}\\phantom{^9_9}} \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"138\" width=\"426\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0421\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u043e, \u0441\u0438\u0441\u0442\u0435\u043c\u0430 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0439 <strong>\u043d\u0435 \u0438\u043c\u0435\u0435\u0442 \u0440\u0435\u0448\u0435\u043d\u0438\u044f \u043f\u0440\u0438 m=-1<\/strong> , \u0442\u0430\u043a \u043a\u0430\u043a \u044d\u0442\u043e \u043d\u0435\u0441\u043e\u0432\u043c\u0435\u0441\u0442\u043d\u0430\u044f \u0441\u0438\u0441\u0442\u0435\u043c\u0430.<\/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\u0432\u0438\u0434\u0438\u043c, \u043a\u0430\u043a \u043e\u0431\u0441\u0443\u0436\u0434\u0430\u0442\u044c \u0438 \u0440\u0435\u0448\u0430\u0442\u044c \u0441\u0438\u0441\u0442\u0435\u043c\u0443 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0439 \u0441 \u043f\u0430\u0440\u0430\u043c\u0435\u0442\u0440\u0430\u043c\u0438 . \u041a\u0440\u043e\u043c\u0435 \u0442\u043e\u0433\u043e, \u0432\u044b \u043d\u0430\u0439\u0434\u0435\u0442\u0435 \u043f\u0440\u0438\u043c\u0435\u0440\u044b \u0438 \u0440\u0435\u0448\u0435\u043d\u043d\u044b\u0435 \u0443\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u044f \u0441\u0438\u0441\u0442\u0435\u043c \u043b\u0438\u043d\u0435\u0439\u043d\u044b\u0445 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0439 \u0434\u043b\u044f \u043f\u0440\u0430\u043a\u0442\u0438\u043a\u0438. \u0421 \u0434\u0440\u0443\u0433\u043e\u0439 \u0441\u0442\u043e\u0440\u043e\u043d\u044b, \u0434\u043b\u044f \u0430\u043d\u0430\u043b\u0438\u0437\u0430 \u0441\u0438\u0441\u0442\u0435\u043c \u043b\u0438\u043d\u0435\u0439\u043d\u044b\u0445 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0439 \u0432\u0430\u0436\u043d\u043e \u0437\u043d\u0430\u0442\u044c , \u0447\u0442\u043e \u0442\u0430\u043a\u043e\u0435 \u043f\u0440\u0430\u0432\u0438\u043b\u043e \u041a\u0440\u0430\u043c\u0435\u0440\u0430 \u0438 \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 , \u043f\u043e\u0442\u043e\u043c\u0443 \u0447\u0442\u043e \u043c\u044b \u0431\u0443\u0434\u0435\u043c \u0438\u043c\u0438 \u043f\u043e\u0441\u0442\u043e\u044f\u043d\u043d\u043e \u043f\u043e\u043b\u044c\u0437\u043e\u0432\u0430\u0442\u044c\u0441\u044f. &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/ru\/%d0%be%d0%b1%d1%81%d1%83%d0%b6%d0%b4%d0%b5%d0%bd%d0%b8%d0%b5-%d1%81%d0%b8%d1%81%d1%82%d0%b5%d0%bc-%d1%83%d1%80%d0%b0%d0%b2%d0%bd%d0%b5%d0%bd%d0%b8%d0%b8-%d1%81-%d0%bf%d0%b0%d1%80%d0%b0%d0%bc%d0%b5\/\"> <span class=\"screen-reader-text\">\u041e\u0431\u0441\u0443\u0436\u0434\u0435\u043d\u0438\u0435 \u0441\u0438\u0441\u0442\u0435\u043c \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0439 \u0441 \u043f\u0430\u0440\u0430\u043c\u0435\u0442\u0440\u0430\u043c\u0438<\/span> \u0427\u0438\u0442\u0430\u0442\u044c \u0434\u0430\u043b\u0435\u0435 &raquo;<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"","footnotes":""},"categories":[9],"tags":[],"class_list":["post-308","post","type-post","status-publish","format-standard","hentry","category-9"],"yoast_head":"<!-- This site is optimized 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\u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0439 \u0441 \u043f\u0430\u0440\u0430\u043c\u0435\u0442\u0440\u0430\u043c\u0438 -\" \/>\n<meta property=\"og:description\" content=\"\u041d\u0430 \u044d\u0442\u043e\u0439 \u0441\u0442\u0440\u0430\u043d\u0438\u0446\u0435 \u043c\u044b \u0443\u0432\u0438\u0434\u0438\u043c, \u043a\u0430\u043a \u043e\u0431\u0441\u0443\u0436\u0434\u0430\u0442\u044c \u0438 \u0440\u0435\u0448\u0430\u0442\u044c \u0441\u0438\u0441\u0442\u0435\u043c\u0443 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0439 \u0441 \u043f\u0430\u0440\u0430\u043c\u0435\u0442\u0440\u0430\u043c\u0438 . \u041a\u0440\u043e\u043c\u0435 \u0442\u043e\u0433\u043e, \u0432\u044b \u043d\u0430\u0439\u0434\u0435\u0442\u0435 \u043f\u0440\u0438\u043c\u0435\u0440\u044b \u0438 \u0440\u0435\u0448\u0435\u043d\u043d\u044b\u0435 \u0443\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u044f \u0441\u0438\u0441\u0442\u0435\u043c \u043b\u0438\u043d\u0435\u0439\u043d\u044b\u0445 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\u0437\u043d\u0430\u0442\u044c , \u0447\u0442\u043e \u0442\u0430\u043a\u043e\u0435 \u043f\u0440\u0430\u0432\u0438\u043b\u043e \u041a\u0440\u0430\u043c\u0435\u0440\u0430 \u0438 \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 , \u043f\u043e\u0442\u043e\u043c\u0443 \u0447\u0442\u043e \u043c\u044b \u0431\u0443\u0434\u0435\u043c \u0438\u043c\u0438 \u043f\u043e\u0441\u0442\u043e\u044f\u043d\u043d\u043e \u043f\u043e\u043b\u044c\u0437\u043e\u0432\u0430\u0442\u044c\u0441\u044f. &hellip; \u041e\u0431\u0441\u0443\u0436\u0434\u0435\u043d\u0438\u0435 \u0441\u0438\u0441\u0442\u0435\u043c \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0439 \u0441 \u043f\u0430\u0440\u0430\u043c\u0435\u0442\u0440\u0430\u043c\u0438 \u0427\u0438\u0442\u0430\u0442\u044c \u0434\u0430\u043b\u0435\u0435 &raquo;","og_url":"https:\/\/mathority.org\/ru\/\u043e\u0431\u0441\u0443\u0436\u0434\u0435\u043d\u0438\u0435-\u0441\u0438\u0441\u0442\u0435\u043c-\u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0438-\u0441-\u043f\u0430\u0440\u0430\u043c\u0435\/","article_published_time":"2023-07-06T14:08:28+00:00","og_image":[{"url":"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-6ab2286d15c20029b98a5ea4622033d4_l3.png"}],"author":"Mathority \u041a\u043e\u043c\u0430\u043d\u0434\u0430","twitter_card":"summary_large_image","twitter_misc":{"\u041d\u0430\u043f\u0438\u0441\u0430\u043d\u043e \u0430\u0432\u0442\u043e\u0440\u043e\u043c":"Mathority \u041a\u043e\u043c\u0430\u043d\u0434\u0430","\u041f\u0440\u0438\u043c\u0435\u0440\u043d\u043e\u0435 \u0432\u0440\u0435\u043c\u044f \u0434\u043b\u044f \u0447\u0442\u0435\u043d\u0438\u044f":"1 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