{"id":285,"date":"2023-07-06T21:19:23","date_gmt":"2023-07-06T21:19:23","guid":{"rendered":"https:\/\/mathority.org\/ru\/%d0%bf%d1%80%d0%b8%d0%bc%d0%b5%d1%80%d1%8b-%d1%81%d1%82%d0%b5%d0%bf%d0%b5%d0%bd%d0%b5%d0%b8-%d0%bc%d0%b0%d1%82%d1%80%d0%b8%d1%86-2%d1%852-%d0%b8-3%d1%853-%d0%b8-%d1%80%d0%b5%d1%88%d0%b5%d0%bd%d0%bd\/"},"modified":"2023-07-06T21:19:23","modified_gmt":"2023-07-06T21:19:23","slug":"%d0%bf%d1%80%d0%b8%d0%bc%d0%b5%d1%80%d1%8b-%d1%81%d1%82%d0%b5%d0%bf%d0%b5%d0%bd%d0%b5%d0%b8-%d0%bc%d0%b0%d1%82%d1%80%d0%b8%d1%86-2%d1%852-%d0%b8-3%d1%853-%d0%b8-%d1%80%d0%b5%d1%88%d0%b5%d0%bd%d0%bd","status":"publish","type":"post","link":"https:\/\/mathority.org\/ru\/%d0%bf%d1%80%d0%b8%d0%bc%d0%b5%d1%80%d1%8b-%d1%81%d1%82%d0%b5%d0%bf%d0%b5%d0%bd%d0%b5%d0%b8-%d0%bc%d0%b0%d1%82%d1%80%d0%b8%d1%86-2%d1%852-%d0%b8-3%d1%853-%d0%b8-%d1%80%d0%b5%d1%88%d0%b5%d0%bd%d0%bd\/","title":{"rendered":"\u041c\u0430\u0442\u0440\u0438\u0447\u043d\u044b\u0435 \u0441\u0438\u043b\u044b"},"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 \u0432\u044b\u0447\u0438\u0441\u043b\u044f\u0442\u044c <strong>\u0441\u0442\u0435\u043f\u0435\u043d\u0438 \u043c\u0430\u0442\u0440\u0438\u0446.<\/strong> \u0412\u044b \u0442\u0430\u043a\u0436\u0435 \u043d\u0430\u0439\u0434\u0435\u0442\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 \u043d\u0430 \u0441\u0442\u0435\u043f\u0435\u043d\u0438 \u043c\u0430\u0442\u0440\u0438\u0446, \u043a\u043e\u0442\u043e\u0440\u044b\u0435 \u043f\u043e\u043c\u043e\u0433\u0443\u0442 \u0432\u0430\u043c \u0432 \u0441\u043e\u0432\u0435\u0440\u0448\u0435\u043d\u0441\u0442\u0432\u0435 \u043f\u043e\u043d\u044f\u0442\u044c \u044d\u0442\u043e. \u0412\u044b \u0442\u0430\u043a\u0436\u0435 \u0443\u0437\u043d\u0430\u0435\u0442\u0435, \u0447\u0442\u043e \u0442\u0430\u043a\u043e\u0435 n-\u044f \u0441\u0442\u0435\u043f\u0435\u043d\u044c \u043c\u0430\u0442\u0440\u0438\u0446\u044b \u0438 \u043a\u0430\u043a \u0435\u0435 \u043d\u0430\u0439\u0442\u0438.<\/p>\n<h2 class=\"wp-block-heading\"> \u041a\u0430\u043a \u0440\u0430\u0441\u0441\u0447\u0438\u0442\u044b\u0432\u0430\u0435\u0442\u0441\u044f \u043c\u043e\u0449\u043d\u043e\u0441\u0442\u044c \u043c\u0430\u0442\u0440\u0438\u0446\u044b? <\/h2>\n<div style=\"background-color:#dff6ff;padding-top: 20px; padding-bottom: 0.5px; padding-right: 40px; padding-left: 30px\" class=\"has-background\">\n<p align=\"LEFT\"> \u0427\u0442\u043e\u0431\u044b \u0432\u044b\u0447\u0438\u0441\u043b\u0438\u0442\u044c <strong>\u0441\u0442\u0435\u043f\u0435\u043d\u044c \u043c\u0430\u0442\u0440\u0438\u0446\u044b<\/strong> , \u043d\u0435\u043e\u0431\u0445\u043e\u0434\u0438\u043c\u043e \u0443\u043c\u043d\u043e\u0436\u0438\u0442\u044c \u043c\u0430\u0442\u0440\u0438\u0446\u0443 \u0441\u0430\u043c\u0443 \u043d\u0430 \u0441\u0435\u0431\u044f \u0441\u0442\u043e\u043b\u044c\u043a\u043e \u0440\u0430\u0437, \u0441\u043a\u043e\u043b\u044c\u043a\u043e \u0433\u043e\u0432\u043e\u0440\u0438\u0442 \u043f\u043e\u043a\u0430\u0437\u0430\u0442\u0435\u043b\u044c \u0441\u0442\u0435\u043f\u0435\u043d\u0438. \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-3e77b01db3eabfb211a806dcae2fc5c9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"A^4 = A \\cdot A \\cdot A \\cdot A\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"136\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<\/div>\n<p> \u0421\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u043e, \u0447\u0442\u043e\u0431\u044b \u043f\u043e\u043b\u0443\u0447\u0438\u0442\u044c \u0441\u0442\u0435\u043f\u0435\u043d\u044c \u043c\u0430\u0442\u0440\u0438\u0446\u044b, \u043d\u0443\u0436\u043d\u043e \u0443\u043c\u0435\u0442\u044c \u0440\u0435\u0448\u0430\u0442\u044c  \u0443\u043c\u043d\u043e\u0436\u0435\u043d\u0438\u0435 \u043c\u0430\u0442\u0440\u0438\u0446  . \u0412 \u043f\u0440\u043e\u0442\u0438\u0432\u043d\u043e\u043c \u0441\u043b\u0443\u0447\u0430\u0435 \u0432\u044b \u043d\u0435 \u0441\u043c\u043e\u0436\u0435\u0442\u0435 \u0440\u0430\u0441\u0441\u0447\u0438\u0442\u0430\u0442\u044c \u043c\u0430\u0442\u0440\u0438\u0446\u0443 \u043c\u043e\u0449\u043d\u043e\u0441\u0442\u0438.<\/p>\n<h3 class=\"wp-block-heading\"> \u041f\u0440\u0438\u043c\u0435\u0440 \u0440\u0430\u0441\u0447\u0435\u0442\u0430 \u043c\u043e\u0449\u043d\u043e\u0441\u0442\u0438 \u043c\u0430\u0442\u0440\u0438\u0446\u044b: <\/h3>\n<figure class=\"wp-block-image aligncenter is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/exemples-de-puissances-de-matrices-22.webp\" alt=\"\u043f\u0440\u0438\u043c\u0435\u0440\u044b \u0441\u0442\u0435\u043f\u0435\u043d\u0435\u0439 \u043c\u0430\u0442\u0440\u0438\u0446 2x2\" width=\"560\" height=\"471\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<p> \u0421\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u043e, \u0441\u0442\u0435\u043f\u0435\u043d\u044c \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u0430 \u043c\u0430\u0442\u0440\u0438\u0446\u044b \u0432\u044b\u0447\u0438\u0441\u043b\u044f\u0435\u0442\u0441\u044f \u043f\u0443\u0442\u0435\u043c \u0443\u043c\u043d\u043e\u0436\u0435\u043d\u0438\u044f \u043c\u0430\u0442\u0440\u0438\u0446\u044b \u043d\u0430 \u0441\u0430\u043c\u0443 \u0441\u0435\u0431\u044f. \u0410\u043d\u0430\u043b\u043e\u0433\u0438\u0447\u043d\u043e, \u043c\u0430\u0442\u0440\u0438\u0446\u0430 \u0432 \u043a\u0443\u0431\u0435 \u0440\u0430\u0432\u043d\u0430 \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u0443 \u0441\u0430\u043c\u043e\u0439 \u043c\u0430\u0442\u0440\u0438\u0446\u044b. \u0410\u043d\u0430\u043b\u043e\u0433\u0438\u0447\u043d\u043e, \u0447\u0442\u043e\u0431\u044b \u043d\u0430\u0439\u0442\u0438 \u0441\u0442\u0435\u043f\u0435\u043d\u044c \u043c\u0430\u0442\u0440\u0438\u0446\u044b, \u0432\u043e\u0437\u0432\u0435\u0434\u0435\u043d\u043d\u043e\u0439 \u0434\u043e \u0447\u0435\u0442\u044b\u0440\u0435\u0445, \u043c\u0430\u0442\u0440\u0438\u0446\u0443, \u0432\u043e\u0437\u0432\u0435\u0434\u0435\u043d\u043d\u0443\u044e \u0434\u043e \u0442\u0440\u0435\u0445, \u043d\u0435\u043e\u0431\u0445\u043e\u0434\u0438\u043c\u043e \u0443\u043c\u043d\u043e\u0436\u0438\u0442\u044c \u043d\u0430 \u0441\u0430\u043c\u0443 \u043c\u0430\u0442\u0440\u0438\u0446\u0443. \u0418 \u0442\u0430\u043a \u0434\u0430\u043b\u0435\u0435.<\/p>\n<p> \u0421\u0443\u0449\u0435\u0441\u0442\u0432\u0443\u0435\u0442 \u0432\u0430\u0436\u043d\u043e\u0435 \u0441\u0432\u043e\u0439\u0441\u0442\u0432\u043e \u0441\u0442\u0435\u043f\u0435\u043d\u0438 \u043c\u0430\u0442\u0440\u0438\u0446\u044b, \u043a\u043e\u0442\u043e\u0440\u043e\u0435 \u0432\u0430\u043c \u0441\u043b\u0435\u0434\u0443\u0435\u0442 \u0437\u043d\u0430\u0442\u044c: <strong>\u0441\u0442\u0435\u043f\u0435\u043d\u044c \u043c\u0430\u0442\u0440\u0438\u0446\u044b \u043c\u043e\u0436\u043d\u043e \u0432\u044b\u0447\u0438\u0441\u043b\u0438\u0442\u044c \u0442\u043e\u043b\u044c\u043a\u043e \u0442\u043e\u0433\u0434\u0430, \u043a\u043e\u0433\u0434\u0430 \u043e\u043d\u0430 \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u043d\u0430\u044f<\/strong> , \u0442\u043e \u0435\u0441\u0442\u044c \u043a\u043e\u0433\u0434\u0430 \u0432 \u043d\u0435\u0439 \u0442\u0430\u043a\u043e\u0435 \u0436\u0435 \u043a\u043e\u043b\u0438\u0447\u0435\u0441\u0442\u0432\u043e \u0441\u0442\u0440\u043e\u043a, \u043a\u0430\u043a \u0438 \u0441\u0442\u043e\u043b\u0431\u0446\u043e\u0432.<\/p>\n<h2 class=\"wp-block-heading\"> \u041a\u0430\u043a\u043e\u0432\u0430 \u0441\u0442\u0435\u043f\u0435\u043d\u044c n \u043c\u0430\u0442\u0440\u0438\u0446\u044b?<\/h2>\n<p> <strong>\u042d\u043d\u043d\u0430\u044f \u0441\u0442\u0435\u043f\u0435\u043d\u044c \u043c\u0430\u0442\u0440\u0438\u0446\u044b<\/strong> \u2014 \u044d\u0442\u043e \u0432\u044b\u0440\u0430\u0436\u0435\u043d\u0438\u0435, \u043f\u043e\u0437\u0432\u043e\u043b\u044f\u044e\u0449\u0435\u0435 \u043b\u0435\u0433\u043a\u043e \u0432\u044b\u0447\u0438\u0441\u043b\u0438\u0442\u044c \u043b\u044e\u0431\u0443\u044e \u0441\u0442\u0435\u043f\u0435\u043d\u044c \u043c\u0430\u0442\u0440\u0438\u0446\u044b.<\/p>\n<p> \u0427\u0430\u0441\u0442\u043e \u0441\u0442\u0435\u043f\u0435\u043d\u0438 \u043c\u0430\u0442\u0440\u0438\u0446 \u043f\u043e\u0434\u0447\u0438\u043d\u044f\u044e\u0442\u0441\u044f \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u043d\u043e\u043c\u0443 <strong>\u0448\u0430\u0431\u043b\u043e\u043d\u0443<\/strong> . \u0421\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u043e, \u0435\u0441\u043b\u0438 \u043c\u044b \u0441\u043c\u043e\u0436\u0435\u043c \u0440\u0430\u0441\u0448\u0438\u0444\u0440\u043e\u0432\u0430\u0442\u044c \u043f\u043e\u0441\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u043e\u0441\u0442\u044c, \u043a\u043e\u0442\u043e\u0440\u043e\u0439 \u043e\u043d\u0438 \u0441\u043b\u0435\u0434\u0443\u044e\u0442, \u043c\u044b \u0441\u043c\u043e\u0436\u0435\u043c \u0432\u044b\u0447\u0438\u0441\u043b\u0438\u0442\u044c \u043b\u044e\u0431\u0443\u044e \u0441\u0442\u0435\u043f\u0435\u043d\u044c \u0431\u0435\u0437 \u043d\u0435\u043e\u0431\u0445\u043e\u0434\u0438\u043c\u043e\u0441\u0442\u0438 \u0432\u044b\u043f\u043e\u043b\u043d\u044f\u0442\u044c \u0432\u0441\u0435 \u0443\u043c\u043d\u043e\u0436\u0435\u043d\u0438\u044f.<\/p>\n<p> \u042d\u0442\u043e \u043e\u0437\u043d\u0430\u0447\u0430\u0435\u0442, \u0447\u0442\u043e \u043c\u044b \u043c\u043e\u0436\u0435\u043c \u043d\u0430\u0439\u0442\u0438 \u0444\u043e\u0440\u043c\u0443\u043b\u0443, \u043a\u043e\u0442\u043e\u0440\u0430\u044f \u0434\u0430\u0435\u0442 \u043d\u0430\u043c n-\u044e \u0441\u0442\u0435\u043f\u0435\u043d\u044c \u043c\u0430\u0442\u0440\u0438\u0446\u044b \u0431\u0435\u0437 \u043d\u0435\u043e\u0431\u0445\u043e\u0434\u0438\u043c\u043e\u0441\u0442\u0438 \u0432\u044b\u0447\u0438\u0441\u043b\u0435\u043d\u0438\u044f \u0432\u0441\u0435\u0445 \u0441\u0442\u0435\u043f\u0435\u043d\u0435\u0439. <\/p>\n<div style=\"background-color:#fffde7;padding-top: 20px; padding-bottom: 0.5px; padding-right: 40px; padding-left: 30px\" class=\"has-background\">\n<p align=\"LEFT\"> <strong>\u0421\u043e\u0432\u0435\u0442\u044b<\/strong> \u043f\u043e \u043e\u0431\u043d\u0430\u0440\u0443\u0436\u0435\u043d\u0438\u044e \u0437\u0430\u043a\u043e\u043d\u043e\u043c\u0435\u0440\u043d\u043e\u0441\u0442\u0438, \u0437\u0430 \u043a\u043e\u0442\u043e\u0440\u043e\u0439 \u0441\u043b\u0435\u0434\u0443\u044e\u0442 \u0441\u0438\u043b\u044b:<\/p>\n<ul style=\"color:#1976d2; font-weight: bold;\">\n<li style=\"margin-bottom:16px\"> <span style=\"color:#000000;font-weight: normal;\"><strong>\u0427\u0435\u0442\u043d\u043e\u0441\u0442\u044c \u043f\u043e\u043a\u0430\u0437\u0430\u0442\u0435\u043b\u044f<\/strong> . \u0412\u043e\u0437\u043c\u043e\u0436\u043d\u043e, \u0447\u0435\u0442\u043d\u044b\u0435 \u0441\u0442\u0435\u043f\u0435\u043d\u0438 \u2014 \u044d\u0442\u043e \u043e\u0434\u0438\u043d \u043f\u0443\u0442\u044c, \u0430 \u043d\u0435\u0447\u0435\u0442\u043d\u044b\u0435 \u2014 \u0434\u0440\u0443\u0433\u043e\u0439.<\/span><\/li>\n<li style=\"margin-bottom:16px;\"> <span style=\"color:#000000;font-weight: normal;\"><strong>\u0412\u0430\u0440\u0438\u0430\u0446\u0438\u044f \u0437\u043d\u0430\u043a\u043e\u0432.<\/strong> \u041d\u0430\u043f\u0440\u0438\u043c\u0435\u0440, \u043c\u043e\u0436\u0435\u0442 \u0431\u044b\u0442\u044c \u0442\u0430\u043a, \u0447\u0442\u043e \u044d\u043b\u0435\u043c\u0435\u043d\u0442\u044b \u0447\u0435\u0442\u043d\u044b\u0445 \u0441\u0442\u0435\u043f\u0435\u043d\u0435\u0439 \u044f\u0432\u043b\u044f\u044e\u0442\u0441\u044f \u043f\u043e\u043b\u043e\u0436\u0438\u0442\u0435\u043b\u044c\u043d\u044b\u043c\u0438, \u0430 \u044d\u043b\u0435\u043c\u0435\u043d\u0442\u044b \u043d\u0435\u0447\u0435\u0442\u043d\u044b\u0445 \u0441\u0442\u0435\u043f\u0435\u043d\u0435\u0439 &#8212; \u043e\u0442\u0440\u0438\u0446\u0430\u0442\u0435\u043b\u044c\u043d\u044b\u043c\u0438, \u0438\u043b\u0438 \u043d\u0430\u043e\u0431\u043e\u0440\u043e\u0442.<\/span><\/li>\n<li style=\"margin-bottom:16px;\"> <span style=\"color:#000000;font-weight: normal;\"><strong>\u041f\u043e\u0432\u0442\u043e\u0440\u0435\u043d\u0438\u0435:<\/strong> \u043f\u043e\u0432\u0442\u043e\u0440\u044f\u0435\u0442\u0441\u044f \u043b\u0438 \u043e\u0434\u043d\u0430 \u0438 \u0442\u0430 \u0436\u0435 \u043c\u0430\u0442\u0440\u0438\u0446\u0430 \u043a\u0430\u0436\u0434\u043e\u0435 \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u043d\u043e\u0435 \u043a\u043e\u043b\u0438\u0447\u0435\u0441\u0442\u0432\u043e \u0441\u0442\u0435\u043f\u0435\u043d\u0435\u0439 \u0438\u043b\u0438 \u043d\u0435\u0442.<\/span><\/li>\n<li> <span style=\"color:#000000;font-weight: normal;\">\u041c\u044b \u0442\u0430\u043a\u0436\u0435 \u0434\u043e\u043b\u0436\u043d\u044b \u043f\u043e\u0441\u043c\u043e\u0442\u0440\u0435\u0442\u044c, \u0441\u0443\u0449\u0435\u0441\u0442\u0432\u0443\u0435\u0442 \u043b\u0438 <strong>\u0441\u0432\u044f\u0437\u044c<\/strong> \u043c\u0435\u0436\u0434\u0443 \u043f\u043e\u043a\u0430\u0437\u0430\u0442\u0435\u043b\u0435\u043c \u0441\u0442\u0435\u043f\u0435\u043d\u0438 \u0438 \u044d\u043b\u0435\u043c\u0435\u043d\u0442\u0430\u043c\u0438 \u043c\u0430\u0442\u0440\u0438\u0446\u044b.<\/span> <\/li>\n<\/ul>\n<\/div>\n<div class=\"adsb30\" style=\" margin:px; text-align:\"><\/div>\n<h3 class=\"wp-block-heading\"> \u041f\u0440\u0438\u043c\u0435\u0440 \u0440\u0430\u0441\u0447\u0435\u0442\u0430 \u0441\u0442\u0435\u043f\u0435\u043d\u0438 n \u043c\u0430\u0442\u0440\u0438\u0446\u044b:<\/h3>\n<ul>\n<li> \u0411\u044b\u0442\u044c\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-25b206f25506e6d6f46be832f7119ffa_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"A\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"13\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0443\u044e \u043c\u0430\u0442\u0440\u0438\u0446\u0443, \u0432\u044b\u0447\u0438\u0441\u043b\u0438\u0442\u0435<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-34564dd93ab535fd300f9ac993829376_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"A^n\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"21\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0418<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-52b77e64505e02204c8e501aea82c251_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"A^{100}\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"34\" style=\"vertical-align: 0px;\"><\/p>\n<p> .<\/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-60016ce1c6799c93007526681fbf4894_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  A = \\begin{pmatrix} 1 &amp; 1 \\\\[1.1ex] 1 &amp; 1 \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"95\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> \u0421\u043d\u0430\u0447\u0430\u043b\u0430 \u0432\u044b\u0447\u0438\u0441\u043b\u0438\u043c \u043d\u0435\u0441\u043a\u043e\u043b\u044c\u043a\u043e \u0441\u0442\u0435\u043f\u0435\u043d\u0435\u0439 \u043c\u0430\u0442\u0440\u0438\u0446\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-25b206f25506e6d6f46be832f7119ffa_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"A\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"13\" style=\"vertical-align: 0px;\"><\/p>\n<p> , \u0447\u0442\u043e\u0431\u044b \u043f\u043e\u043f\u044b\u0442\u0430\u0442\u044c\u0441\u044f \u0443\u0433\u0430\u0434\u0430\u0442\u044c \u0437\u0430\u043a\u043e\u043d\u043e\u043c\u0435\u0440\u043d\u043e\u0441\u0442\u044c, \u043a\u043e\u0442\u043e\u0440\u043e\u0439 \u0441\u043b\u0435\u0434\u0443\u044e\u0442 \u0441\u0442\u0435\u043f\u0435\u043d\u0438. \u0418\u0442\u0430\u043a, \u043c\u044b \u0440\u0430\u0441\u0441\u0447\u0438\u0442\u044b\u0432\u0430\u0435\u043c<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-8b49aeb7162689d03dd9f9470a2ae1a6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"A^2\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"20\" style=\"vertical-align: 0px;\"><\/p>\n<p> ,<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-07e0009cbaebcb5501371dd9f6795f4d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"A^3\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"20\" style=\"vertical-align: 0px;\"><\/p>\n<p> ,<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-2ccb300f7879fa598883dafb53bf7a5a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"A^4\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"20\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0418 <\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f2ce79bf092ea6898cbcbc086729ba93_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"A^5:\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"30\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<figure class=\"wp-block-image aligncenter is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/exercice-resolu-pas-a-pas-des-puissances-des-matrices-22.webp\" alt=\"\u0443\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u0435 \u043f\u043e\u044d\u0442\u0430\u043f\u043d\u043e\u0435 \u0440\u0435\u0448\u0435\u043d\u0438\u0435 \u0441\u0442\u0435\u043f\u0435\u043d\u0435\u0439 \u043c\u0430\u0442\u0440\u0438\u0446 2x2\" width=\"409\" height=\"361\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<p> \u041f\u0440\u0438 \u0440\u0430\u0441\u0447\u0435\u0442\u0435 \u0434\u043e<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-0d1e5d53cda856213bbb6b5796706dd8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"A^5\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"20\" style=\"vertical-align: 0px;\"><\/p>\n<p> , \u043c\u044b \u0432\u0438\u0434\u0438\u043c, \u0447\u0442\u043e \u0441\u0442\u0435\u043f\u0435\u043d\u0438 \u043c\u0430\u0442\u0440\u0438\u0446\u044b<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-25b206f25506e6d6f46be832f7119ffa_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"A\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"13\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u041e\u043d\u0438 \u0441\u043b\u0435\u0434\u0443\u044e\u0442 \u0437\u0430\u043a\u043e\u043d\u043e\u043c\u0435\u0440\u043d\u043e\u0441\u0442\u0438: \u043f\u0440\u0438 \u043a\u0430\u0436\u0434\u043e\u043c \u0443\u0432\u0435\u043b\u0438\u0447\u0435\u043d\u0438\u0438 \u0441\u0442\u0435\u043f\u0435\u043d\u0438 \u0440\u0435\u0437\u0443\u043b\u044c\u0442\u0430\u0442 \u0443\u043c\u043d\u043e\u0436\u0430\u0435\u0442\u0441\u044f \u043d\u0430 2. \u0421\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u043e, <strong>\u0432\u0441\u0435 \u043c\u0430\u0442\u0440\u0438\u0446\u044b \u044f\u0432\u043b\u044f\u044e\u0442\u0441\u044f \u0441\u0442\u0435\u043f\u0435\u043d\u044f\u043c\u0438 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-4ec7ee835cf9eda6a4f9d497e8baff79_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^2= \\begin{pmatrix} 2 &amp; 2 \\\\[1.1ex] 2 &amp; 2 \\end{pmatrix} =\\begin{pmatrix} 2^1 &amp; 2^1 \\\\[1.1ex] 2^1 &amp; 2^1 \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"204\" 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-69c6ff0f4de92192584dadc4719167c7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^3= \\begin{pmatrix} 4 &amp; 4 \\\\[1.1ex] 4 &amp; 4 \\end{pmatrix}=\\begin{pmatrix} 2^2 &amp; 2^2 \\\\[1.1ex] 2^2 &amp; 2^2 \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"204\" 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-f724a50b220b3026d53e40ee17870359_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^4= \\begin{pmatrix} 8 &amp; 8 \\\\[1.1ex] 8 &amp; 8 \\end{pmatrix}=\\begin{pmatrix} 2^3 &amp; 2^3 \\\\[1.1ex] 2^3 &amp; 2^3 \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"204\" 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-f5f08f7cc00465a6a098ce7d752aa66f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^5= \\begin{pmatrix} 16 &amp; 16 \\\\[1.1ex] 16 &amp; 16 \\end{pmatrix}=\\begin{pmatrix} 2^4 &amp; 2^4 \\\\[1.1ex] 2^4 &amp; 2^4 \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"221\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> \u0422\u0430\u043a\u0438\u043c \u043e\u0431\u0440\u0430\u0437\u043e\u043c, \u043c\u044b \u043c\u043e\u0436\u0435\u043c \u0432\u044b\u0432\u0435\u0441\u0442\u0438 \u0444\u043e\u0440\u043c\u0443\u043b\u0443 \u0434\u043b\u044f <strong>n-\u0439 \u0441\u0442\u0435\u043f\u0435\u043d\u0438<\/strong> \u043c\u0430\u0442\u0440\u0438\u0446\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-944477c7f7578892a57aa3b7c7dd8268_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"A:\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"22\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<figure class=\"wp-block-image aligncenter is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/nieme-puissance-dune-matrice.webp\" alt=\"n-\u044f \u0441\u0442\u0435\u043f\u0435\u043d\u044c \u043c\u0430\u0442\u0440\u0438\u0446\u044b 2x2\" width=\"201\" height=\"68\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<p> \u0418 \u043f\u043e \u044d\u0442\u043e\u0439 \u0444\u043e\u0440\u043c\u0443\u043b\u0435 \u043c\u044b \u043c\u043e\u0436\u0435\u043c \u0432\u044b\u0447\u0438\u0441\u043b\u0438\u0442\u044c <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-560982f344534dee89eb7afbf6be520e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"A^{100}:\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"44\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<figure class=\"wp-block-image aligncenter is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/exercice-de-puissance-resolu-dune-matrice.webp\" alt=\"\u041f\u043e\u0448\u0430\u0433\u043e\u0432\u043e\u0435 \u0443\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u0435 \u043f\u043e \u0440\u0435\u0448\u0435\u043d\u0438\u044e \u0441\u0442\u0435\u043f\u0435\u043d\u0438 \u043c\u0430\u0442\u0440\u0438\u0446\u044b 2\u04452.\" width=\"187\" height=\"68\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<h2 class=\"wp-block-heading\"> \u0420\u0435\u0448\u0435\u043d\u044b \u043f\u0440\u043e\u0431\u043b\u0435\u043c\u044b \u0441 \u043f\u0438\u0442\u0430\u043d\u0438\u0435\u043c \u043c\u0430\u0442\u0440\u0438\u0446\u044b<\/h2>\n<h3 class=\"wp-block-heading\"> \u0423\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u0435 1<\/h3>\n<p> \u0420\u0430\u0441\u0441\u043c\u043e\u0442\u0440\u0438\u043c \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0443\u044e \u043c\u0430\u0442\u0440\u0438\u0446\u0443 \u0440\u0430\u0437\u043c\u0435\u0440\u043d\u043e\u0441\u0442\u0438 2\u00d72:<\/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-cdf81cf9fb956a144c7bda96a84ec7db_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A=\\begin{pmatrix} 1 &amp; 2 \\\\[1.1ex] -1 &amp; 1  \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"109\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> \u0420\u0430\u0441\u0441\u0447\u0438\u0442\u0430\u0442\u044c: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-2589110bbf0eae4fa44ef48ab7b0f416_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^4\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"20\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E3F2FD boto_ver_solucion\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E3F2FD\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"> <strong>\u043f\u043e\u0441\u043c\u043e\u0442\u0440\u0435\u0442\u044c \u0440\u0435\u0448\u0435\u043d\u0438\u0435<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\"> \u0427\u0442\u043e\u0431\u044b \u0432\u044b\u0447\u0438\u0441\u043b\u0438\u0442\u044c \u0441\u0442\u0435\u043f\u0435\u043d\u044c \u043c\u0430\u0442\u0440\u0438\u0446\u044b, \u043d\u0435\u043e\u0431\u0445\u043e\u0434\u0438\u043c\u043e \u0443\u043c\u043d\u043e\u0436\u0438\u0442\u044c \u043c\u0430\u0442\u0440\u0438\u0446\u0443 \u043e\u0434\u0438\u043d \u043d\u0430 \u043e\u0434\u0438\u043d. \u041f\u043e\u044d\u0442\u043e\u043c\u0443 \u0441\u043d\u0430\u0447\u0430\u043b\u0430 \u0440\u0430\u0441\u0441\u0447\u0438\u0442\u0430\u0435\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-d7581934ef6136b2b48380f1a53c7809_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^2 :\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"30\" 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-24916b0b0e4431b0a2ee2b09875dc903_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^2= A \\cdot A = \\begin{pmatrix} 1 &amp; 2 \\\\[1.1ex] -1 &amp; 1 \\end{pmatrix} \\cdot \\begin{pmatrix} 1 &amp; 2 \\\\[1.1ex] -1 &amp; 1 \\end{pmatrix} = \\begin{pmatrix} -1 &amp; 4 \\\\[1.1ex] -2 &amp;  -1\\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"381\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0422\u0435\u043f\u0435\u0440\u044c \u043c\u044b \u0432\u044b\u0447\u0438\u0441\u043b\u044f\u0435\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-fecf45671ed5e89f1f756fd265fcf13b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^3 :\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"30\" 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-57f79bd420c0044c84a64b431035b8ea_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^3= A^2 \\cdot A = \\begin{pmatrix} -1 &amp; 4 \\\\[1.1ex] -2 &amp;  -1 \\end{pmatrix} \\cdot \\begin{pmatrix} 1 &amp; 2 \\\\[1.1ex] -1 &amp; 1 \\end{pmatrix} =\\begin{pmatrix} -5 &amp; 2 \\\\[1.1ex] -1 &amp;  -5 \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"403\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0418, \u043d\u0430\u043a\u043e\u043d\u0435\u0446, \u043c\u044b \u0432\u044b\u0447\u0438\u0441\u043b\u044f\u0435\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-f95589f39821fada84cb5b3d4ba91a46_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^4 :\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"30\" 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-bbc2ad8229ee141b323c9bbcc9df00fd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^4= A^3 \\cdot A = \\begin{pmatrix} -5 &amp; 2 \\\\[1.1ex] -1 &amp;  -5 \\end{pmatrix} \\cdot \\begin{pmatrix} 1 &amp; 2 \\\\[1.1ex] -1 &amp; 1 \\end{pmatrix} = \\begin{pmatrix} \\bm{-7} &amp; \\bm{-8} \\\\[1.1ex] \\bm{4} &amp;  \\bm{-7} \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"403\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\">\u0423\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u0435 2<\/h3>\n<p> \u0420\u0430\u0441\u0441\u043c\u043e\u0442\u0440\u0438\u043c \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0443\u044e \u043c\u0430\u0442\u0440\u0438\u0446\u0443 \u0432\u0442\u043e\u0440\u043e\u0433\u043e \u043f\u043e\u0440\u044f\u0434\u043a\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-33db03560b5c28f45eef9aa293484603_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A=\\begin{pmatrix} 1 &amp; 0 \\\\[1.1ex] 0 &amp; 3  \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"95\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> \u0420\u0430\u0441\u0441\u0447\u0438\u0442\u0430\u0442\u044c: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-6f350af4394f9224a8a2d726ed6ed0aa_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^{35}\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"27\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E3F2FD boto_ver_solucion\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E3F2FD\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"> <strong>\u043f\u043e\u0441\u043c\u043e\u0442\u0440\u0435\u0442\u044c \u0440\u0435\u0448\u0435\u043d\u0438\u0435<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-6f350af4394f9224a8a2d726ed6ed0aa_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^{35}\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"27\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u044d\u0442\u043e \u0441\u043b\u0438\u0448\u043a\u043e\u043c \u0431\u043e\u043b\u044c\u0448\u0430\u044f \u0441\u0442\u0435\u043f\u0435\u043d\u044c, \u0447\u0442\u043e\u0431\u044b \u0435\u0435 \u043c\u043e\u0436\u043d\u043e \u0431\u044b\u043b\u043e \u0432\u044b\u0447\u0438\u0441\u043b\u0438\u0442\u044c \u0432\u0440\u0443\u0447\u043d\u0443\u044e, \u043f\u043e\u044d\u0442\u043e\u043c\u0443 \u0441\u0442\u0435\u043f\u0435\u043d\u0438 \u043c\u0430\u0442\u0440\u0438\u0446\u044b \u0434\u043e\u043b\u0436\u043d\u044b \u0441\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u044c \u0448\u0430\u0431\u043b\u043e\u043d\u0443. \u0418\u0442\u0430\u043a, \u0434\u0430\u0432\u0430\u0439\u0442\u0435 \u043f\u043e\u0441\u0447\u0438\u0442\u0430\u0435\u043c<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-0678e990fe5d8fe1614d53eb51816f13_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^5\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"20\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0447\u0442\u043e\u0431\u044b \u043f\u043e\u043f\u044b\u0442\u0430\u0442\u044c\u0441\u044f \u043f\u043e\u043d\u044f\u0442\u044c \u043f\u043e\u0441\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u043e\u0441\u0442\u044c, \u043a\u043e\u0442\u043e\u0440\u043e\u0439 \u043e\u043d\u0438 \u0441\u043b\u0435\u0434\u0443\u044e\u0442: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-cb9646cc984d754d2a618e6223e93cd3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^2= A \\cdot A = \\begin{pmatrix} 1 &amp; 0 \\\\[1.1ex] 0 &amp; 3 \\end{pmatrix} \\cdot \\begin{pmatrix}1 &amp; 0 \\\\[1.1ex] 0 &amp; 3 \\end{pmatrix} = \\begin{pmatrix} 1 &amp; 0 \\\\[1.1ex] 0 &amp; 9 \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"326\" 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-22fdee28399b9115de98a214ba0c8473_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^3= A^2 \\cdot A = \\begin{pmatrix} 1 &amp; 0 \\\\[1.1ex] 0 &amp; 9 \\end{pmatrix} \\cdot \\begin{pmatrix}1 &amp; 0 \\\\[1.1ex] 0 &amp; 3 \\end{pmatrix} = \\begin{pmatrix} 1 &amp; 0 \\\\[1.1ex] 0 &amp; 27 \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"343\" 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-1a085a2338ce1e74885ca04bbd0011a7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^4= A^3 \\cdot A = \\begin{pmatrix}1 &amp; 0 \\\\[1.1ex] 0 &amp; 27 \\end{pmatrix} \\cdot \\begin{pmatrix}1 &amp; 0 \\\\[1.1ex] 0 &amp; 3 \\end{pmatrix} = \\begin{pmatrix} 1 &amp; 0 \\\\[1.1ex] 0 &amp; 81 \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"351\" 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-3dc357146829da8323a0755fa16a8ca8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^5= A^4 \\cdot A = \\begin{pmatrix}1 &amp; 0 \\\\[1.1ex] 0 &amp; 81 \\end{pmatrix} \\cdot \\begin{pmatrix}1 &amp; 0 \\\\[1.1ex] 0 &amp; 3 \\end{pmatrix} = \\begin{pmatrix} 1 &amp; 0 \\\\[1.1ex] 0 &amp; 243 \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"360\" 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\u044b \u0432\u0438\u0434\u0438\u043c \u0437\u0430\u043a\u043e\u043d\u043e\u043c\u0435\u0440\u043d\u043e\u0441\u0442\u044c, \u043f\u043e \u043a\u043e\u0442\u043e\u0440\u043e\u0439 \u0441\u043b\u0435\u0434\u0443\u044e\u0442 \u0441\u0442\u0435\u043f\u0435\u043d\u0438: \u0432 \u043a\u0430\u0436\u0434\u043e\u0439 \u0441\u0442\u0435\u043f\u0435\u043d\u0438 \u0432\u0441\u0435 \u0447\u0438\u0441\u043b\u0430 \u043e\u0441\u0442\u0430\u044e\u0442\u0441\u044f \u043e\u0434\u0438\u043d\u0430\u043a\u043e\u0432\u044b\u043c\u0438, \u043a\u0440\u043e\u043c\u0435 \u044d\u043b\u0435\u043c\u0435\u043d\u0442\u0430 \u0432\u043e \u0432\u0442\u043e\u0440\u043e\u043c \u0441\u0442\u043e\u043b\u0431\u0446\u0435 \u0432\u0442\u043e\u0440\u043e\u0439 \u0441\u0442\u0440\u043e\u043a\u0438, \u043a\u043e\u0442\u043e\u0440\u044b\u0439 \u0443\u043c\u043d\u043e\u0436\u0430\u0435\u0442\u0441\u044f \u043d\u0430 3. \u0421\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u043e, <strong>\u0432\u0441\u0435 \u0447\u0438\u0441\u043b\u0430 \u0432\u0441\u0435\u0433\u0434\u0430 \u043e\u0441\u0442\u0430\u044e\u0442\u0441\u044f \u043e\u0434\u0438\u043d\u0430\u043a\u043e\u0432\u044b\u043c\u0438. \u0438 \u043f\u043e\u0441\u043b\u0435\u0434\u043d\u0438\u0439 \u044d\u043b\u0435\u043c\u0435\u043d\u0442 \u043f\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u043b\u044f\u0435\u0442 \u0441\u043e\u0431\u043e\u0439 \u0441\u0442\u0435\u043f\u0435\u043d\u044c 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-a0bfa34768808832e0fd5d3f730eb27b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A=\\begin{pmatrix} 1 &amp; 0 \\\\[1.1ex] 0 &amp; 3 \\end{pmatrix}=\\begin{pmatrix} 1 &amp; 0 \\\\[1.1ex] 0 &amp; 3^1 \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"188\" 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-f6e007f5ad5d38fd887d39f00bd2b9fc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^2=\\begin{pmatrix} 1 &amp; 0 \\\\[1.1ex] 0 &amp; 9 \\end{pmatrix}=\\begin{pmatrix} 1 &amp; 0 \\\\[1.1ex] 0 &amp; 3^2 \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"196\" 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-585d8a00f418b50f60b4f95d87c5839c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^3=\\begin{pmatrix} 1 &amp; 0 \\\\[1.1ex] 0 &amp; 27 \\end{pmatrix}=\\begin{pmatrix} 1 &amp; 0 \\\\[1.1ex] 0 &amp; 3^3 \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"205\" 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-dec6b9db4b59d9759adf85cee442cca3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^4=\\begin{pmatrix} 1 &amp; 0 \\\\[1.1ex] 0 &amp; 81 \\end{pmatrix}=\\begin{pmatrix} 1 &amp; 0 \\\\[1.1ex] 0 &amp; 3^4 \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"205\" 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-f7244b46950df4d9107cbdb7ad004e17_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^5=\\begin{pmatrix} 1 &amp; 0 \\\\[1.1ex] 0 &amp; 243 \\end{pmatrix}=\\begin{pmatrix} 1 &amp; 0 \\\\[1.1ex] 0 &amp; 3^5 \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"214\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0418\u0442\u0430\u043a, \u0444\u043e\u0440\u043c\u0443\u043b\u0430 <strong>n-\u0439 \u0441\u0442\u0435\u043f\u0435\u043d\u0438 \u043c\u0430\u0442\u0440\u0438\u0446\u044b<\/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-36386dbc4f20fb573357a406ce713887_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"13\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0412\u043e\u0441\u0442\u043e\u043a:<\/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-beec2f1ed3e47902de0f25fe1901e294_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^n=\\begin{pmatrix} 1 &amp; 0 \\\\[1.1ex] 0 &amp; 3^n\\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"113\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0418 \u043f\u043e \u044d\u0442\u043e\u0439 \u0444\u043e\u0440\u043c\u0443\u043b\u0435 \u043c\u044b \u043c\u043e\u0436\u0435\u043c \u0432\u044b\u0447\u0438\u0441\u043b\u0438\u0442\u044c <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-c4057ee894404b505d020a186733732e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^{35}:\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"37\" 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-aa3261646ca7bfa41f8ad46331a0af4b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\bm{A^{35}=}\\begin{pmatrix} \\bm{1} &amp; \\bm{0} \\\\[1.1ex] \\bm{0} &amp; \\bm{3^{35}}\\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"122\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\">\u0423\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u0435 3<\/h3>\n<p> \u0420\u0430\u0441\u0441\u043c\u043e\u0442\u0440\u0438\u043c \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0443\u044e \u043c\u0430\u0442\u0440\u0438\u0446\u0443 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-f11fe8a7dcd1e308faa0af24eee3f362_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A=\\begin{pmatrix} 1 &amp; \\frac{1}{5}  &amp; \\frac{1}{5} \\\\[1.1ex] 0 &amp; 1  &amp; 0 \\\\[1.1ex] 0 &amp; 0  &amp; 1 \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"85\" width=\"126\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> \u0420\u0430\u0441\u0441\u0447\u0438\u0442\u0430\u0442\u044c: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a99c928415cd39eb81240e79778e41df_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^{100}\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"34\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E3F2FD boto_ver_solucion\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E3F2FD\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"> <strong>\u043f\u043e\u0441\u043c\u043e\u0442\u0440\u0435\u0442\u044c \u0440\u0435\u0448\u0435\u043d\u0438\u0435<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a99c928415cd39eb81240e79778e41df_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^{100}\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"34\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u044d\u0442\u043e \u0441\u043b\u0438\u0448\u043a\u043e\u043c \u0431\u043e\u043b\u044c\u0448\u0430\u044f \u0441\u0442\u0435\u043f\u0435\u043d\u044c, \u0447\u0442\u043e\u0431\u044b \u0435\u0435 \u043c\u043e\u0436\u043d\u043e \u0431\u044b\u043b\u043e \u0432\u044b\u0447\u0438\u0441\u043b\u0438\u0442\u044c \u0432\u0440\u0443\u0447\u043d\u0443\u044e, \u043f\u043e\u044d\u0442\u043e\u043c\u0443 \u0441\u0442\u0435\u043f\u0435\u043d\u0438 \u043c\u0430\u0442\u0440\u0438\u0446\u044b \u0434\u043e\u043b\u0436\u043d\u044b \u0441\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u044c \u0448\u0430\u0431\u043b\u043e\u043d\u0443. \u0418\u0442\u0430\u043a, \u0434\u0430\u0432\u0430\u0439\u0442\u0435 \u043f\u043e\u0441\u0447\u0438\u0442\u0430\u0435\u043c<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-0678e990fe5d8fe1614d53eb51816f13_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^5\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"20\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0447\u0442\u043e\u0431\u044b \u043f\u043e\u043f\u044b\u0442\u0430\u0442\u044c\u0441\u044f \u043f\u043e\u043d\u044f\u0442\u044c \u043f\u043e\u0441\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u043e\u0441\u0442\u044c, \u043a\u043e\u0442\u043e\u0440\u043e\u0439 \u043e\u043d\u0438 \u0441\u043b\u0435\u0434\u0443\u044e\u0442: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-acb15d7f461d11e3668bc0b96a1fdc06_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^2= A \\cdot A = \\begin{pmatrix} 1 &amp; \\frac{1}{5}  &amp; \\frac{1}{5} \\\\[1.1ex] 0 &amp; 1  &amp; 0 \\\\[1.1ex] 0 &amp; 0  &amp; 1 \\end{pmatrix} \\cdot \\begin{pmatrix}1 &amp; \\frac{1}{5}  &amp; \\frac{1}{5} \\\\[1.1ex] 0 &amp; 1  &amp; 0 \\\\[1.1ex] 0 &amp; 0  &amp; 1 \\end{pmatrix} =  \\begin{pmatrix} 1 &amp; \\frac{2}{5}   &amp; \\frac{2}{5} \\\\[1.1ex] 0 &amp; 1  &amp; 0 \\\\[1.1ex] 0 &amp; 0  &amp; 1 \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"85\" width=\"421\" 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-f416625ded948830fa80799249c12608_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^3= A^2 \\cdot A = \\begin{pmatrix} 1 &amp; \\frac{2}{5}   &amp; \\frac{2}{5} \\\\[1.1ex] 0 &amp; 1  &amp; 0 \\\\[1.1ex] 0 &amp; 0  &amp; 1\\end{pmatrix} \\cdot \\begin{pmatrix}1 &amp; \\frac{1}{5}  &amp; \\frac{1}{5} \\\\[1.1ex] 0 &amp; 1  &amp; 0 \\\\[1.1ex] 0 &amp; 0  &amp; 1 \\end{pmatrix} = \\begin{pmatrix} 1 &amp; \\frac{3}{5}   &amp; \\frac{3}{5} \\\\[1.1ex] 0 &amp; 1  &amp; 0 \\\\[1.1ex] 0 &amp; 0  &amp; 1 \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"85\" width=\"429\" 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-a76fd60051b157f06c2a731ff575d1e5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^4= A^3 \\cdot A = \\begin{pmatrix} 1 &amp; \\frac{3}{5}   &amp; \\frac{3}{5} \\\\[1.1ex] 0 &amp; 1  &amp; 0 \\\\[1.1ex] 0 &amp; 0  &amp; 1\\end{pmatrix} \\cdot \\begin{pmatrix}1 &amp; \\frac{1}{5}  &amp; \\frac{1}{5} \\\\[1.1ex] 0 &amp; 1  &amp; 0 \\\\[1.1ex] 0 &amp; 0  &amp; 1 \\end{pmatrix} =  \\begin{pmatrix} 1 &amp; \\frac{4}{5}   &amp; \\frac{4}{5} \\\\[1.1ex] 0 &amp; 1  &amp; 0 \\\\[1.1ex] 0 &amp; 0  &amp; 1 \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"85\" width=\"429\" 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-3409c7b8d82ffd21cc084a12405fce74_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^5= A^4 \\cdot A = \\begin{pmatrix} 1 &amp; \\frac{4}{5}   &amp; \\frac{4}{5} \\\\[1.1ex] 0 &amp; 1  &amp; 0 \\\\[1.1ex] 0 &amp; 0  &amp; 1\\end{pmatrix} \\cdot \\begin{pmatrix}1 &amp; \\frac{1}{5}  &amp; \\frac{1}{5} \\\\[1.1ex] 0 &amp; 1  &amp; 0 \\\\[1.1ex] 0 &amp; 0  &amp; 1 \\end{pmatrix} =  \\begin{pmatrix} 1 &amp; \\frac{5}{5}   &amp; \\frac{5}{5} \\\\[1.1ex] 0 &amp; 1  &amp; 0 \\\\[1.1ex] 0 &amp; 0  &amp; 1 \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"85\" width=\"429\" 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\u044b \u043c\u043e\u0436\u0435\u043c \u0443\u0432\u0438\u0434\u0435\u0442\u044c \u0437\u0430\u043a\u043e\u043d\u043e\u043c\u0435\u0440\u043d\u043e\u0441\u0442\u044c, \u043f\u043e \u043a\u043e\u0442\u043e\u0440\u043e\u0439 \u0441\u043b\u0435\u0434\u0443\u044e\u0442 \u0441\u0442\u0435\u043f\u0435\u043d\u0438: \u0432 \u043a\u0430\u0436\u0434\u043e\u0439 \u0441\u0442\u0435\u043f\u0435\u043d\u0438 \u0432\u0441\u0435 \u0447\u0438\u0441\u043b\u0430 \u043e\u0441\u0442\u0430\u044e\u0442\u0441\u044f \u043f\u0440\u0435\u0436\u043d\u0438\u043c\u0438, \u043a\u0440\u043e\u043c\u0435 \u0434\u0440\u043e\u0431\u0435\u0439, \u043a\u043e\u0442\u043e\u0440\u044b\u0435 <strong>\u0443\u0432\u0435\u043b\u0438\u0447\u0438\u0432\u0430\u044e\u0442\u0441\u044f \u043d\u0430 \u0435\u0434\u0438\u043d\u0438\u0446\u0443 \u0432 \u0447\u0438\u0441\u043b\u0438\u0442\u0435\u043b\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-86c72aa2b21e7a68bbebfe7af5daa420_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A=\\begin{pmatrix} 1 &amp; \\frac{1}{5}   &amp; \\frac{1}{5} \\\\[1.1ex] 0 &amp; 1  &amp; 0 \\\\[1.1ex] 0 &amp; 0  &amp; 1 \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"85\" width=\"126\" 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-ce805455e49bf018f8f22588391ac44c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^2= \\begin{pmatrix} 1 &amp; \\frac{2}{5}   &amp; \\frac{2}{5} \\\\[1.1ex] 0 &amp; 1  &amp; 0 \\\\[1.1ex] 0 &amp; 0  &amp; 1 \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"85\" width=\"134\" 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-bd5468ece9001274493687f3786b0af3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^3= \\begin{pmatrix} 1 &amp; \\frac{3}{5}   &amp; \\frac{3}{5} \\\\[1.1ex] 0 &amp; 1  &amp; 0 \\\\[1.1ex] 0 &amp; 0  &amp; 1 \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"85\" width=\"134\" 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-07fd0e03c0163b58fffbe0235009fd8e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^4= \\begin{pmatrix} 1 &amp; \\frac{4}{5}   &amp; \\frac{4}{5} \\\\[1.1ex] 0 &amp; 1  &amp; 0 \\\\[1.1ex] 0 &amp; 0  &amp; 1 \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"85\" width=\"134\" 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-5ea88723757d1f2d8d6de1ac2d3843c7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^5= \\begin{pmatrix} 1 &amp; \\frac{5}{5}   &amp; \\frac{5}{5} \\\\[1.1ex] 0 &amp; 1  &amp; 0 \\\\[1.1ex] 0 &amp; 0  &amp; 1 \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"85\" width=\"134\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0418\u0442\u0430\u043a, \u0444\u043e\u0440\u043c\u0443\u043b\u0430 <strong>\u0441\u0442\u0435\u043f\u0435\u043d\u0438 <strong>n-\u0439<\/strong> \u043c\u0430\u0442\u0440\u0438\u0446\u044b<\/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-36386dbc4f20fb573357a406ce713887_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"13\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0412\u043e\u0441\u0442\u043e\u043a:<\/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-56308ff348d67ba1aba5816d85e9ee1c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^n= \\begin{pmatrix} 1 &amp; \\frac{n}{5}   &amp; \\frac{n}{5} \\\\[1.1ex] 0 &amp; 1  &amp; 0 \\\\[1.1ex] 0 &amp; 0  &amp; 1 \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"85\" width=\"138\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0418 \u043f\u043e \u044d\u0442\u043e\u0439 \u0444\u043e\u0440\u043c\u0443\u043b\u0435 \u043c\u044b \u043c\u043e\u0436\u0435\u043c \u0432\u044b\u0447\u0438\u0441\u043b\u0438\u0442\u044c <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-d22628ae2f8152f9817b84fa09c97d6e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^{100}:\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"44\" 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-5352f021f5ab30e999c57f978ff55ad6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^{100}=   \\begin{pmatrix} 1 &amp; \\frac{100}{5}   &amp; \\frac{100}{5} \\\\[1.1ex] 0 &amp; 1  &amp; 0 \\\\[1.1ex] 0 &amp; 0  &amp; 1 \\end{pmatrix}= \\begin{pmatrix} \\bm{1} &amp; \\bm{20}   &amp; \\bm{20} \\\\[1.1ex] \\bm{0} &amp; \\bm{1}  &amp; \\bm{0} \\\\[1.1ex] \\bm{0} &amp; \\bm{0}  &amp; \\bm{1} \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"85\" width=\"307\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<div class=\"adsb30\" style=\" margin:12px; text-align:center\">\n<div id=\"ezoic-pub-ad-placeholder-118\"><\/div>\n<\/div>\n<h3 class=\"wp-block-heading\"> \u0423\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u0435 4<\/h3>\n<p> \u0420\u0430\u0441\u0441\u043c\u043e\u0442\u0440\u0438\u043c \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0443\u044e \u043c\u0430\u0442\u0440\u0438\u0446\u0443 \u0440\u0430\u0437\u043c\u0435\u0440\u0430 2\u00d72:<\/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-4609248b534d656aa9495b58f42e343f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A=\\begin{pmatrix} 0 &amp; -1 \\\\[1.1ex] 1 &amp; 0 \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"109\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> \u0420\u0430\u0441\u0441\u0447\u0438\u0442\u0430\u0442\u044c: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-4f8edde6fcaa57b102140f3d4437f95b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^{201}\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"33\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E3F2FD boto_ver_solucion\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E3F2FD\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"> <strong>\u043f\u043e\u0441\u043c\u043e\u0442\u0440\u0435\u0442\u044c \u0440\u0435\u0448\u0435\u043d\u0438\u0435<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-4f8edde6fcaa57b102140f3d4437f95b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^{201}\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"33\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u044d\u0442\u043e \u0441\u043b\u0438\u0448\u043a\u043e\u043c \u0431\u043e\u043b\u044c\u0448\u0430\u044f \u0441\u0442\u0435\u043f\u0435\u043d\u044c, \u0447\u0442\u043e\u0431\u044b \u0435\u0435 \u043c\u043e\u0436\u043d\u043e \u0431\u044b\u043b\u043e \u0432\u044b\u0447\u0438\u0441\u043b\u0438\u0442\u044c \u0432\u0440\u0443\u0447\u043d\u0443\u044e, \u043f\u043e\u044d\u0442\u043e\u043c\u0443 \u0441\u0442\u0435\u043f\u0435\u043d\u0438 \u043c\u0430\u0442\u0440\u0438\u0446\u044b \u0434\u043e\u043b\u0436\u043d\u044b \u0441\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u044c \u0448\u0430\u0431\u043b\u043e\u043d\u0443. \u0412 \u044d\u0442\u043e\u043c \u0441\u043b\u0443\u0447\u0430\u0435 \u043d\u0435\u043e\u0431\u0445\u043e\u0434\u0438\u043c\u043e \u0440\u0430\u0441\u0441\u0447\u0438\u0442\u0430\u0442\u044c<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-8f4a7b26a48a1e57dc08ef4c8c662af6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^{8}\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"20\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0447\u0442\u043e\u0431\u044b \u0437\u043d\u0430\u0442\u044c \u043f\u043e\u0441\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u043e\u0441\u0442\u044c, \u043a\u043e\u0442\u043e\u0440\u043e\u0439 \u043e\u043d\u0438 \u0441\u043b\u0435\u0434\u0443\u044e\u0442: <\/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-c9a1fb4cf8bb75cf02d76a26054e6bfa_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^2= A \\cdot A = \\begin{pmatrix} 0 &amp; -1 \\\\[1.1ex] 1 &amp; 0 \\end{pmatrix} \\cdot \\begin{pmatrix} 0 &amp; -1 \\\\[1.1ex] 1 &amp; 0 \\end{pmatrix} = \\begin{pmatrix} -1 &amp; 0 \\\\[1.1ex] 0 &amp; -1 \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"381\" 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-110c4b30c78811cafdd4234e128ed414_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^3= A^2 \\cdot A = \\begin{pmatrix} -1 &amp; 0 \\\\[1.1ex] 0 &amp; -1 \\end{pmatrix} \\cdot \\begin{pmatrix} 0 &amp; -1 \\\\[1.1ex] 1 &amp; 0 \\end{pmatrix} = \\begin{pmatrix} 0 &amp; 1 \\\\[1.1ex] -1 &amp; 0 \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"389\" 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-2b1976bbdf3c1daa9d75497efc07975c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^4= A^3 \\cdot A = \\begin{pmatrix}0 &amp; 1 \\\\[1.1ex] -1 &amp; 0 \\end{pmatrix} \\cdot \\begin{pmatrix} 0 &amp; -1 \\\\[1.1ex] 1 &amp; 0 \\end{pmatrix} = \\begin{pmatrix} 1 &amp; 0 \\\\[1.1ex] 0 &amp; 1 \\end{pmatrix} = \\bm{I}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"398\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-e0266d832a2fc0a04c9f6582dc231d57_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^5= A^4 \\cdot A = \\begin{pmatrix} 1 &amp; 0 \\\\[1.1ex] 0 &amp; 1\\end{pmatrix} \\cdot \\begin{pmatrix} 0 &amp; -1 \\\\[1.1ex] 1 &amp; 0 \\end{pmatrix} = \\begin{pmatrix} 0 &amp; -1 \\\\[1.1ex] 1 &amp; 0 \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"361\" 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-21dea9844b7bfdb990bbb2bc955c866e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^6= A^5 \\cdot A = \\begin{pmatrix} 0 &amp; -1 \\\\[1.1ex] 1 &amp; 0 \\end{pmatrix} \\cdot \\begin{pmatrix} 0 &amp; -1 \\\\[1.1ex] 1 &amp; 0 \\end{pmatrix} = \\begin{pmatrix} -1 &amp; 0 \\\\[1.1ex] 0 &amp; -1 \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"389\" 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-788e75a71c1dfe4a60f0e52960715efe_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^7= A^6 \\cdot A = \\begin{pmatrix} -1 &amp; 0 \\\\[1.1ex] 0 &amp; -1 \\end{pmatrix} \\cdot \\begin{pmatrix} 0 &amp; -1 \\\\[1.1ex] 1 &amp; 0 \\end{pmatrix} = \\begin{pmatrix} 0 &amp; 1 \\\\[1.1ex] -1 &amp; 0 \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"389\" 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-4947286a163847383e3735a508b0037d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^8= A^7 \\cdot A = \\begin{pmatrix}0 &amp; 1 \\\\[1.1ex] -1 &amp; 0 \\end{pmatrix} \\cdot \\begin{pmatrix} 0 &amp; -1 \\\\[1.1ex] 1 &amp; 0 \\end{pmatrix} = \\begin{pmatrix} 1 &amp; 0 \\\\[1.1ex] 0 &amp; 1 \\end{pmatrix} = \\bm{I}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"398\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0421 \u043f\u043e\u043c\u043e\u0449\u044c\u044e \u044d\u0442\u0438\u0445 \u0432\u044b\u0447\u0438\u0441\u043b\u0435\u043d\u0438\u0439 \u043c\u044b \u0432\u0438\u0434\u0438\u043c, \u0447\u0442\u043e \u043a\u0430\u0436\u0434\u044b\u0435 4 \u0441\u0442\u0435\u043f\u0435\u043d\u0438 \u043c\u044b \u043f\u043e\u043b\u0443\u0447\u0430\u0435\u043c \u0435\u0434\u0438\u043d\u0438\u0447\u043d\u0443\u044e \u043c\u0430\u0442\u0440\u0438\u0446\u0443. \u0422\u043e \u0435\u0441\u0442\u044c \u0432 \u0440\u0435\u0437\u0443\u043b\u044c\u0442\u0430\u0442\u0435 \u044d\u0442\u043e \u0434\u0430\u0441\u0442 \u043d\u0430\u043c \u0442\u043e\u0436\u0434\u0435\u0441\u0442\u0432\u0435\u043d\u043d\u0443\u044e \u043c\u0430\u0442\u0440\u0438\u0446\u0443 \u0441\u0442\u0435\u043f\u0435\u043d\u0435\u0439.<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-2589110bbf0eae4fa44ef48ab7b0f416_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^4\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"20\" style=\"vertical-align: 0px;\"><\/p>\n<p> ,<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-b6df3f4d3068241a434e489e7f1d655e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^8\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"20\" style=\"vertical-align: 0px;\"><\/p>\n<p> ,<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-d390d2dcb2acd63a2b3af76fa1451d29_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^{12}\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"27\" style=\"vertical-align: 0px;\"><\/p>\n<p> ,<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-26e32d520eee6a2f5c39f1d6de0c9ffc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^{16}\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"27\" style=\"vertical-align: 0px;\"><\/p>\n<p> ,\u2026 \u0418\u0442\u0430\u043a, \u0447\u0442\u043e\u0431\u044b \u0432\u044b\u0447\u0438\u0441\u043b\u0438\u0442\u044c<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-4f8edde6fcaa57b102140f3d4437f95b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^{201}\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"33\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u043c\u044b \u0434\u043e\u043b\u0436\u043d\u044b \u0440\u0430\u0437\u043b\u043e\u0436\u0438\u0442\u044c 201 \u043d\u0430 \u0447\u0438\u0441\u043b\u0430, \u043a\u0440\u0430\u0442\u043d\u044b\u0435 4: <\/p>\n<figure class=\"wp-block-image aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/exercice-etape-par-etape-puissance-dune-matrice.webp\" alt=\"\u0443\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u0435 \u0440\u0435\u0448\u0430\u0435\u043c \u0448\u0430\u0433 \u0437\u0430 \u0448\u0430\u0433\u043e\u043c \u0441\u0442\u0435\u043f\u0435\u043d\u0438 \u043c\u0430\u0442\u0440\u0438\u0446 2x2 \u0438 \u0441\u0442\u0435\u043f\u0435\u043d\u044c n\" class=\"wp-image-327\" width=\"416\" height=\"160\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-3c705236856598d218f071b1ca9a370d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle 201= 4 \\cdot 50 +1\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"119\" style=\"vertical-align: -2px;\"><\/p>\n<p> ,\u0415\u0449\u0435,<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-01a8a8f62467b5a911593c44559f2dc6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"A^{201}\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"33\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u044d\u0442\u043e \u0431\u0443\u0434\u0435\u0442 50 \u0440\u0430\u0437<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-1483b12f3e81520e751acccec37f9c21_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^{4}\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"20\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0438 \u043e\u0434\u043d\u0430\u0436\u0434\u044b<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-3937de4ff8cc137d41d4ac1bbccf561c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^{1}:\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"30\" 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-0e169084d9ac06e6c2895a2b1f4be3f7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^{201}=\\left(A^4 \\right)^{50} \\cdot A^1\" title=\"Rendered by QuickLaTeX.com\" height=\"27\" width=\"142\" style=\"vertical-align: -7px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0418 \u043e\u0442\u043a\u0443\u0434\u0430 \u043c\u044b \u044d\u0442\u043e \u0437\u043d\u0430\u0435\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-2589110bbf0eae4fa44ef48ab7b0f416_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^4\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"20\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u044d\u0442\u043e \u0435\u0434\u0438\u043d\u0438\u0447\u043d\u0430\u044f \u043c\u0430\u0442\u0440\u0438\u0446\u0430 <\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-867357beec26a26d9d9b4af01b8086e7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle I :\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"18\" 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-e3f630d4fa8da50f18be6835617a6982_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^4 =I\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"54\" 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-29c53c0280332f200d37936b211faf39_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^{201}=\\left(A^4 \\right)^{50} \\cdot A^1 = I^{50}\\cdot A\" title=\"Rendered by QuickLaTeX.com\" height=\"27\" width=\"217\" style=\"vertical-align: -7px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0411\u043e\u043b\u0435\u0435 \u0442\u043e\u0433\u043e, \u0435\u0434\u0438\u043d\u0438\u0447\u043d\u0430\u044f \u043c\u0430\u0442\u0440\u0438\u0446\u0430, \u0432\u043e\u0437\u0432\u0435\u0434\u0435\u043d\u043d\u0430\u044f \u0432 \u043b\u044e\u0431\u043e\u0435 \u0447\u0438\u0441\u043b\u043e, \u0434\u0430\u0435\u0442 \u0435\u0434\u0438\u043d\u0438\u0447\u043d\u0443\u044e \u043c\u0430\u0442\u0440\u0438\u0446\u0443. \u0415\u0449\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-f0748e850cbae2f5a2d9eb797e27641b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^{201}= I^{50}\\cdot A = I \\cdot A\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"167\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0418, \u043d\u0430\u043a\u043e\u043d\u0435\u0446, \u043b\u044e\u0431\u0430\u044f \u043c\u0430\u0442\u0440\u0438\u0446\u0430, \u0443\u043c\u043d\u043e\u0436\u0435\u043d\u043d\u0430\u044f \u043d\u0430 \u0435\u0434\u0438\u043d\u0438\u0447\u043d\u0443\u044e \u043c\u0430\u0442\u0440\u0438\u0446\u0443, \u0434\u0430\u0435\u0442 \u0442\u0443 \u0436\u0435 \u0441\u0430\u043c\u0443\u044e \u043c\u0430\u0442\u0440\u0438\u0446\u0443. \u0422\u0410\u041a:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-c88ebfbbdcc01a0cbdcf840aba32313e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^{201}= I \\cdot A = A\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"130\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0417\u0430 \u0447\u0442\u043e<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-01a8a8f62467b5a911593c44559f2dc6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"A^{201}\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"33\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0440\u0430\u0432\u043d\u043e <\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-944477c7f7578892a57aa3b7c7dd8268_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"A:\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"22\" 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-1214abe876a5aede8fbbce79009d5dbc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^{201}= A =\\begin{pmatrix} \\bm{0} &amp; \\bm{-1} \\\\[1.1ex] \\bm{1} &amp; \\bm{0} \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"167\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\">\u0423\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u0435 5<\/h3>\n<p> \u0420\u0430\u0441\u0441\u043c\u043e\u0442\u0440\u0438\u043c \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0443\u044e \u043c\u0430\u0442\u0440\u0438\u0446\u0443 \u0442\u0440\u0435\u0442\u044c\u0435\u0433\u043e \u043f\u043e\u0440\u044f\u0434\u043a\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-b8f3ba8b2d15b622f99774be05aa2620_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A=\\begin{pmatrix} 3 &amp; 4 &amp; -1 \\\\[1.1ex] -2 &amp; -3 &amp; 1 \\\\[1.1ex] -2 &amp; -3 &amp; 0 \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"85\" width=\"164\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> \u0420\u0430\u0441\u0441\u0447\u0438\u0442\u0430\u0442\u044c: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-bd886e003dc8d850cca00cfe4d00ed4a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^{62}\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"27\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E3F2FD boto_ver_solucion\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E3F2FD\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"> <strong>\u043f\u043e\u0441\u043c\u043e\u0442\u0440\u0435\u0442\u044c \u0440\u0435\u0448\u0435\u043d\u0438\u0435<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\"> \u041e\u0447\u0435\u0432\u0438\u0434\u043d\u043e, \u0432\u044b\u0447\u0438\u0441\u043b\u0438\u043c \u043c\u043e\u0449\u043d\u043e\u0441\u0442\u044c \u043c\u0430\u0442\u0440\u0438\u0446\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-bd886e003dc8d850cca00cfe4d00ed4a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^{62}\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"27\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u042d\u0442\u043e \u0441\u043b\u0438\u0448\u043a\u043e\u043c \u043e\u0431\u044a\u0435\u043c\u043d\u043e\u0435 \u0432\u044b\u0447\u0438\u0441\u043b\u0435\u043d\u0438\u0435, \u0447\u0442\u043e\u0431\u044b \u0435\u0433\u043e \u043c\u043e\u0436\u043d\u043e \u0431\u044b\u043b\u043e \u0432\u044b\u043f\u043e\u043b\u043d\u0438\u0442\u044c \u0432\u0440\u0443\u0447\u043d\u0443\u044e, \u043f\u043e\u044d\u0442\u043e\u043c\u0443 \u0441\u0442\u0435\u043f\u0435\u043d\u0438 \u043c\u0430\u0442\u0440\u0438\u0446\u044b \u0434\u043e\u043b\u0436\u043d\u044b \u0441\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u044c \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u043d\u043e\u043c\u0443 \u0448\u0430\u0431\u043b\u043e\u043d\u0443. \u0412 \u044d\u0442\u043e\u043c \u0441\u043b\u0443\u0447\u0430\u0435 \u043d\u0435\u043e\u0431\u0445\u043e\u0434\u0438\u043c\u043e \u0440\u0430\u0441\u0441\u0447\u0438\u0442\u0430\u0442\u044c<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-b9dcf97a16a30b4167b19a2313ee060c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^{6}\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"20\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0447\u0442\u043e\u0431\u044b \u0437\u043d\u0430\u0442\u044c \u043f\u043e\u0441\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u043e\u0441\u0442\u044c, \u043a\u043e\u0442\u043e\u0440\u043e\u0439 \u043e\u043d\u0438 \u0441\u043b\u0435\u0434\u0443\u044e\u0442: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-4032b55d68a5615911a5b7c997b05e6f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^2= A \\cdot A = \\begin{pmatrix}3 &amp; 4 &amp; -1 \\\\[1.1ex] -2 &amp; -3 &amp; 1 \\\\[1.1ex] -2 &amp; -3 &amp; 0 \\end{pmatrix} \\cdot \\begin{pmatrix} 3 &amp; 4 &amp; -1 \\\\[1.1ex] -2 &amp; -3 &amp; 1 \\\\[1.1ex] -2 &amp; -3 &amp; 0 \\end{pmatrix} = \\begin{pmatrix} 3 &amp; 3 &amp; 1 \\\\[1.1ex] -2 &amp; -2 &amp; -1 \\\\[1.1ex] 0 &amp; 1 &amp; -1 \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"85\" width=\"534\" 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-8b5deef2a7728c5e82e1a1dafb1a939c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^3= A^2 \\cdot A = \\begin{pmatrix}3 &amp; 3 &amp; 1 \\\\[1.1ex] -2 &amp; -2 &amp; -1 \\\\[1.1ex] 0 &amp; 1 &amp; -1\\end{pmatrix} \\cdot \\begin{pmatrix} 3 &amp; 4 &amp; -1 \\\\[1.1ex] -2 &amp; -3 &amp; 1 \\\\[1.1ex] -2 &amp; -3 &amp; 0 \\end{pmatrix} = \\begin{pmatrix} 1 &amp; 0 &amp; 0 \\\\[1.1ex] 0 &amp; 1 &amp; 0 \\\\[1.1ex] 0 &amp; 0 &amp; 1 \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"85\" width=\"500\" 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-f62e856d037138b2ead39b17ccebf96d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^4= A^3 \\cdot A = \\begin{pmatrix}1 &amp; 0 &amp; 0 \\\\[1.1ex] 0 &amp; 1 &amp; 0 \\\\[1.1ex] 0 &amp; 0 &amp; 1 \\end{pmatrix} \\cdot \\begin{pmatrix} 3 &amp; 4 &amp; -1 \\\\[1.1ex] -2 &amp; -3 &amp; 1 \\\\[1.1ex] -2 &amp; -3 &amp; 0 \\end{pmatrix} = \\begin{pmatrix} 3 &amp; 4 &amp; -1 \\\\[1.1ex] -2 &amp; -3 &amp; 1 \\\\[1.1ex] -2 &amp; -3 &amp; 0 \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"85\" width=\"500\" 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-854da5c09b6662da46acb790afb6d01a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^5= A^4 \\cdot A = \\begin{pmatrix}3 &amp; 4 &amp; -1 \\\\[1.1ex] -2 &amp; -3 &amp; 1 \\\\[1.1ex] -2 &amp; -3 &amp; 0 \\end{pmatrix} \\cdot \\begin{pmatrix} 3 &amp; 4 &amp; -1 \\\\[1.1ex] -2 &amp; -3 &amp; 1 \\\\[1.1ex] -2 &amp; -3 &amp; 0 \\end{pmatrix} = \\begin{pmatrix} 3 &amp; 3 &amp; 1 \\\\[1.1ex] -2 &amp; -2 &amp; -1 \\\\[1.1ex] 0 &amp; 1 &amp; -1 \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"85\" width=\"541\" 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-c9f804a1c129e18d105fb92254c971fa_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^6= A^5 \\cdot A = \\begin{pmatrix}3 &amp; 3 &amp; 1 \\\\[1.1ex] -2 &amp; -2 &amp; -1 \\\\[1.1ex] 0 &amp; 1 &amp; -1\\end{pmatrix} \\cdot \\begin{pmatrix} 3 &amp; 4 &amp; -1 \\\\[1.1ex] -2 &amp; -3 &amp; 1 \\\\[1.1ex] -2 &amp; -3 &amp; 0 \\end{pmatrix} = \\begin{pmatrix} 1 &amp; 0 &amp; 0 \\\\[1.1ex] 0 &amp; 1 &amp; 0 \\\\[1.1ex] 0 &amp; 0 &amp; 1 \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"85\" width=\"500\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0421 \u043f\u043e\u043c\u043e\u0449\u044c\u044e \u044d\u0442\u0438\u0445 \u0432\u044b\u0447\u0438\u0441\u043b\u0435\u043d\u0438\u0439 \u043c\u044b \u0432\u0438\u0434\u0438\u043c, \u0447\u0442\u043e \u043a\u0430\u0436\u0434\u044b\u0435 3 \u0441\u0442\u0435\u043f\u0435\u043d\u0438 \u043c\u044b \u043f\u043e\u043b\u0443\u0447\u0430\u0435\u043c \u0435\u0434\u0438\u043d\u0438\u0447\u043d\u0443\u044e \u043c\u0430\u0442\u0440\u0438\u0446\u0443. \u0422\u043e \u0435\u0441\u0442\u044c \u0432 \u0440\u0435\u0437\u0443\u043b\u044c\u0442\u0430\u0442\u0435 \u044d\u0442\u043e \u0434\u0430\u0441\u0442 \u043d\u0430\u043c \u0442\u043e\u0436\u0434\u0435\u0441\u0442\u0432\u0435\u043d\u043d\u0443\u044e \u043c\u0430\u0442\u0440\u0438\u0446\u0443 \u0441\u0442\u0435\u043f\u0435\u043d\u0435\u0439.<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-ca00633b1d21d63a177e78aed3846413_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^3\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"20\" style=\"vertical-align: 0px;\"><\/p>\n<p> ,<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-33a1b80dd4db27f09aa071e4b8bf01a0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^6\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"20\" style=\"vertical-align: 0px;\"><\/p>\n<p> ,<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-4c2f4eb36ca05968a81ef76d76e9275c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^{9}\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"20\" style=\"vertical-align: 0px;\"><\/p>\n<p> ,<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-d390d2dcb2acd63a2b3af76fa1451d29_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^{12}\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"27\" style=\"vertical-align: 0px;\"><\/p>\n<p> ,\u2026 \u0427\u0442\u043e\u0431\u044b \u043f\u043e\u0441\u0447\u0438\u0442\u0430\u0442\u044c<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-bd886e003dc8d850cca00cfe4d00ed4a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^{62}\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"27\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u041d\u0430\u043c \u043d\u0435\u043e\u0431\u0445\u043e\u0434\u0438\u043c\u043e \u0440\u0430\u0437\u043b\u043e\u0436\u0438\u0442\u044c 62 \u043d\u0430 \u043a\u0440\u0430\u0442\u043d\u044b\u0435 3: <\/p>\n<figure class=\"wp-block-image aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/exercice-resolu-des-puissances-des-matrices-33.webp\" alt=\"\u0423\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u0435 \u0440\u0435\u0448\u0435\u043d\u043e \u043f\u043e\u044d\u0442\u0430\u043f\u043d\u043e \u043d\u0430 \u0441\u0442\u0435\u043f\u0435\u043d\u044c \u043c\u0430\u0442\u0440\u0438\u0446\u044b 3x3, n-\u044f \u0441\u0442\u0435\u043f\u0435\u043d\u044c\" class=\"wp-image-339\" width=\"394\" height=\"160\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f1ebd498146526b26797fc73174c6bef_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle 62= 3 \\cdot 20 +2\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"110\" style=\"vertical-align: -2px;\"><\/p>\n<p> ,\u0415\u0449\u0435,<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-bd886e003dc8d850cca00cfe4d00ed4a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^{62}\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"27\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u044d\u0442\u043e \u0431\u0443\u0434\u0435\u0442 20 \u0440\u0430\u0437<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-6129a88e40a1a7fa3b922c8ef6ec57cc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^{3}\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"20\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0438 \u043e\u0434\u043d\u0430\u0436\u0434\u044b<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-490432e07ef01473684f6a975567a3d6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^{2}:\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"30\" 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-db1749b0c96e2613326aa9bac2cbf651_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^{62}=\\left(A^3 \\right)^{20} \\cdot A^2\" title=\"Rendered by QuickLaTeX.com\" height=\"27\" width=\"136\" style=\"vertical-align: -7px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0418 \u043e\u0442\u043a\u0443\u0434\u0430 \u043c\u044b \u044d\u0442\u043e \u0437\u043d\u0430\u0435\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-ca00633b1d21d63a177e78aed3846413_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^3\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"20\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u044d\u0442\u043e \u0435\u0434\u0438\u043d\u0438\u0447\u043d\u0430\u044f \u043c\u0430\u0442\u0440\u0438\u0446\u0430 <\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-867357beec26a26d9d9b4af01b8086e7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle I :\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"18\" 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-e4af75581d64edceeaa20edefbde7d8a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^3 =I\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"54\" 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-c885875cfd8f37ead41f1b9cae94a3f8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^{62}=\\left(A^3 \\right)^{20} \\cdot A^2 = I^{20}\\cdot A^2\" title=\"Rendered by QuickLaTeX.com\" height=\"27\" width=\"217\" style=\"vertical-align: -7px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0411\u043e\u043b\u0435\u0435 \u0442\u043e\u0433\u043e, \u0435\u0434\u0438\u043d\u0438\u0447\u043d\u0430\u044f \u043c\u0430\u0442\u0440\u0438\u0446\u0430, \u0432\u043e\u0437\u0432\u0435\u0434\u0435\u043d\u043d\u0430\u044f \u0432 \u043b\u044e\u0431\u043e\u0435 \u0447\u0438\u0441\u043b\u043e, \u0434\u0430\u0435\u0442 \u0435\u0434\u0438\u043d\u0438\u0447\u043d\u0443\u044e \u043c\u0430\u0442\u0440\u0438\u0446\u0443. \u0415\u0449\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-a3175b230605c5218a3fc03c53cbd14b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^{62}= I^{20}\\cdot A^2 = I \\cdot A^2\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"175\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u041d\u0430\u043a\u043e\u043d\u0435\u0446, \u043b\u044e\u0431\u0430\u044f \u043c\u0430\u0442\u0440\u0438\u0446\u0430, \u0443\u043c\u043d\u043e\u0436\u0435\u043d\u043d\u0430\u044f \u043d\u0430 \u0435\u0434\u0438\u043d\u0438\u0447\u043d\u0443\u044e \u043c\u0430\u0442\u0440\u0438\u0446\u0443, \u0434\u0430\u0435\u0442 \u0442\u0443 \u0436\u0435 \u043c\u0430\u0442\u0440\u0438\u0446\u0443. \u0415\u0449\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-269a862d24453f1dff22c4599b6fa775_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^{62}= I \\cdot A^2 = A^2\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"138\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0417\u0430 \u0447\u0442\u043e<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-23af6c06fb07a3267b3401415f6c0449_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"A^{62}\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"27\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0431\u0443\u0434\u0435\u0442 \u0440\u0430\u0432\u0435\u043d<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-6e1844da717e117a743161ee5e453ae3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"A^{2}\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"20\" style=\"vertical-align: 0px;\"><\/p>\n<p> , \u0434\u043b\u044f \u043a\u043e\u0442\u043e\u0440\u043e\u0433\u043e \u043c\u044b \u0440\u0430\u043d\u0435\u0435 \u0432\u044b\u0447\u0438\u0441\u043b\u0438\u043b\u0438 \u0440\u0435\u0437\u0443\u043b\u044c\u0442\u0430\u0442:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-3f95e17aacde501ca1c28dbf14324f0b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^{62}= A^2=\\begin{pmatrix} \\bm{3} &amp; \\bm{3} &amp; \\bm{1} \\\\[1.1ex] \\bm{-2} &amp; \\bm{-2} &amp; \\bm{-1} \\\\[1.1ex] \\bm{0} &amp; \\bm{1} &amp; \\bm{-1} \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"85\" width=\"223\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<p> \u0415\u0441\u043b\u0438 \u0432\u0430\u043c \u043f\u0440\u0438\u0433\u043e\u0434\u0438\u043b\u0438\u0441\u044c \u044d\u0442\u0438 \u0443\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u044f \u043d\u0430 \u043f\u043e\u043b\u043d\u043e\u043c\u043e\u0447\u0438\u044f \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u043d\u044b\u0445 \u043c\u0430\u0442\u0440\u0438\u0446, \u0432\u044b \u0442\u0430\u043a\u0436\u0435 \u043c\u043e\u0436\u0435\u0442\u0435 \u043d\u0430\u0439\u0442\u0438 \u0440\u0435\u0448\u0435\u043d\u043d\u044b\u0435 \u043f\u043e\u0448\u0430\u0433\u043e\u0432\u044b\u0435 \u0443\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u044f \u043d\u0430 \u0441\u043b\u043e\u0436\u0435\u043d\u0438\u0435 \u0438  \u0432\u044b\u0447\u0438\u0442\u0430\u043d\u0438\u0435 \u043c\u0430\u0442\u0440\u0438\u0446  , \u043e\u0434\u043d\u0443 \u0438\u0437 \u043d\u0430\u0438\u0431\u043e\u043b\u0435\u0435 \u0447\u0430\u0441\u0442\u043e \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u0443\u0435\u043c\u044b\u0445 \u043e\u043f\u0435\u0440\u0430\u0446\u0438\u0439 \u0441 \u043c\u0430\u0442\u0440\u0438\u0446\u0430\u043c\u0438.<\/p>\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 \u0432\u044b\u0447\u0438\u0441\u043b\u044f\u0442\u044c \u0441\u0442\u0435\u043f\u0435\u043d\u0438 \u043c\u0430\u0442\u0440\u0438\u0446. \u0412\u044b \u0442\u0430\u043a\u0436\u0435 \u043d\u0430\u0439\u0434\u0435\u0442\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 \u043d\u0430 \u0441\u0442\u0435\u043f\u0435\u043d\u0438 \u043c\u0430\u0442\u0440\u0438\u0446, \u043a\u043e\u0442\u043e\u0440\u044b\u0435 \u043f\u043e\u043c\u043e\u0433\u0443\u0442 \u0432\u0430\u043c \u0432 \u0441\u043e\u0432\u0435\u0440\u0448\u0435\u043d\u0441\u0442\u0432\u0435 \u043f\u043e\u043d\u044f\u0442\u044c \u044d\u0442\u043e. \u0412\u044b \u0442\u0430\u043a\u0436\u0435 \u0443\u0437\u043d\u0430\u0435\u0442\u0435, \u0447\u0442\u043e \u0442\u0430\u043a\u043e\u0435 n-\u044f \u0441\u0442\u0435\u043f\u0435\u043d\u044c \u043c\u0430\u0442\u0440\u0438\u0446\u044b \u0438 \u043a\u0430\u043a \u0435\u0435 \u043d\u0430\u0439\u0442\u0438. \u041a\u0430\u043a \u0440\u0430\u0441\u0441\u0447\u0438\u0442\u044b\u0432\u0430\u0435\u0442\u0441\u044f \u043c\u043e\u0449\u043d\u043e\u0441\u0442\u044c \u043c\u0430\u0442\u0440\u0438\u0446\u044b? \u0427\u0442\u043e\u0431\u044b \u0432\u044b\u0447\u0438\u0441\u043b\u0438\u0442\u044c \u0441\u0442\u0435\u043f\u0435\u043d\u044c \u043c\u0430\u0442\u0440\u0438\u0446\u044b , \u043d\u0435\u043e\u0431\u0445\u043e\u0434\u0438\u043c\u043e \u0443\u043c\u043d\u043e\u0436\u0438\u0442\u044c \u043c\u0430\u0442\u0440\u0438\u0446\u0443 \u0441\u0430\u043c\u0443 \u043d\u0430 \u0441\u0435\u0431\u044f \u0441\u0442\u043e\u043b\u044c\u043a\u043e &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/ru\/%d0%bf%d1%80%d0%b8%d0%bc%d0%b5%d1%80%d1%8b-%d1%81%d1%82%d0%b5%d0%bf%d0%b5%d0%bd%d0%b5%d0%b8-%d0%bc%d0%b0%d1%82%d1%80%d0%b8%d1%86-2%d1%852-%d0%b8-3%d1%853-%d0%b8-%d1%80%d0%b5%d1%88%d0%b5%d0%bd%d0%bd\/\"> <span class=\"screen-reader-text\">\u041c\u0430\u0442\u0440\u0438\u0447\u043d\u044b\u0435 \u0441\u0438\u043b\u044b<\/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":[7],"tags":[],"class_list":["post-285","post","type-post","status-publish","format-standard","hentry","category-7"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.2 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>\u041f\u043e\u043b\u043d\u043e\u043c\u043e\u0447\u0438\u044f \u043c\u0430\u0442\u0440\u0438\u0446\u044b -<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/mathority.org\/ru\/\u043f\u0440\u0438\u043c\u0435\u0440\u044b-\u0441\u0442\u0435\u043f\u0435\u043d\u0435\u0438-\u043c\u0430\u0442\u0440\u0438\u0446-2\u04452-\u0438-3\u04453-\u0438-\u0440\u0435\u0448\u0435\u043d\u043d\/\" \/>\n<meta property=\"og:locale\" content=\"ru_RU\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"\u041f\u043e\u043b\u043d\u043e\u043c\u043e\u0447\u0438\u044f \u043c\u0430\u0442\u0440\u0438\u0446\u044b -\" \/>\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 \u0432\u044b\u0447\u0438\u0441\u043b\u044f\u0442\u044c \u0441\u0442\u0435\u043f\u0435\u043d\u0438 \u043c\u0430\u0442\u0440\u0438\u0446. \u0412\u044b \u0442\u0430\u043a\u0436\u0435 \u043d\u0430\u0439\u0434\u0435\u0442\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 \u043d\u0430 \u0441\u0442\u0435\u043f\u0435\u043d\u0438 \u043c\u0430\u0442\u0440\u0438\u0446, \u043a\u043e\u0442\u043e\u0440\u044b\u0435 \u043f\u043e\u043c\u043e\u0433\u0443\u0442 \u0432\u0430\u043c \u0432 \u0441\u043e\u0432\u0435\u0440\u0448\u0435\u043d\u0441\u0442\u0432\u0435 \u043f\u043e\u043d\u044f\u0442\u044c \u044d\u0442\u043e. \u0412\u044b \u0442\u0430\u043a\u0436\u0435 \u0443\u0437\u043d\u0430\u0435\u0442\u0435, \u0447\u0442\u043e \u0442\u0430\u043a\u043e\u0435 n-\u044f \u0441\u0442\u0435\u043f\u0435\u043d\u044c \u043c\u0430\u0442\u0440\u0438\u0446\u044b \u0438 \u043a\u0430\u043a \u0435\u0435 \u043d\u0430\u0439\u0442\u0438. \u041a\u0430\u043a \u0440\u0430\u0441\u0441\u0447\u0438\u0442\u044b\u0432\u0430\u0435\u0442\u0441\u044f \u043c\u043e\u0449\u043d\u043e\u0441\u0442\u044c \u043c\u0430\u0442\u0440\u0438\u0446\u044b? \u0427\u0442\u043e\u0431\u044b \u0432\u044b\u0447\u0438\u0441\u043b\u0438\u0442\u044c \u0441\u0442\u0435\u043f\u0435\u043d\u044c \u043c\u0430\u0442\u0440\u0438\u0446\u044b , \u043d\u0435\u043e\u0431\u0445\u043e\u0434\u0438\u043c\u043e \u0443\u043c\u043d\u043e\u0436\u0438\u0442\u044c \u043c\u0430\u0442\u0440\u0438\u0446\u0443 \u0441\u0430\u043c\u0443 \u043d\u0430 \u0441\u0435\u0431\u044f \u0441\u0442\u043e\u043b\u044c\u043a\u043e &hellip; \u041c\u0430\u0442\u0440\u0438\u0447\u043d\u044b\u0435 \u0441\u0438\u043b\u044b \u0427\u0438\u0442\u0430\u0442\u044c \u0434\u0430\u043b\u0435\u0435 &raquo;\" \/>\n<meta property=\"og:url\" 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