{"id":1177,"date":"2021-04-24T12:28:10","date_gmt":"2021-04-24T12:28:10","guid":{"rendered":"https:\/\/otus.ru\/journal\/?p=1177"},"modified":"2021-04-24T12:42:50","modified_gmt":"2021-04-24T12:42:50","slug":"kak-vozvesti-matricu-v-stepen","status":"publish","type":"post","link":"https:\/\/otus.ru\/journal\/kak-vozvesti-matricu-v-stepen\/","title":{"rendered":"\u041a\u0430\u043a \u0432\u043e\u0437\u0432\u0435\u0441\u0442\u0438 \u043c\u0430\u0442\u0440\u0438\u0446\u0443 \u0432 \u0441\u0442\u0435\u043f\u0435\u043d\u044c?"},"content":{"rendered":"\n<p class=\"wp-block-paragraph\">\u0418\u043d\u043e\u0433\u0434\u0430 \u043c\u043e\u0436\u0435\u0442 \u0432\u043e\u0437\u043d\u0438\u043a\u043d\u0443\u0442\u044c \u043d\u0435\u043e\u0431\u0445\u043e\u0434\u0438\u043c\u043e\u0441\u0442\u044c \u0432\u044b\u043f\u043e\u043b\u043d\u0438\u0442\u044c <strong>\u0432\u043e\u0437\u0432\u0435\u0434\u0435\u043d\u0438\u0435 \u043c\u0430\u0442\u0440\u0438\u0446\u044b \u0432 \u0441\u0442\u0435\u043f\u0435\u043d\u044c<\/strong>. \u0412 \u044d\u0442\u043e\u0439 \u0441\u0442\u0430\u0442\u044c\u0435 \u043c\u044b \u0440\u0430\u0441\u0441\u043c\u043e\u0442\u0440\u0438\u043c, \u043a\u0430\u043a\u0438\u043c \u043e\u0431\u0440\u0430\u0437\u043e\u043c \u0438 \u0432 \u043a\u0430\u043a\u043e\u043c \u043f\u043e\u0440\u044f\u0434\u043a\u0435 \u0432\u044b\u043f\u043e\u043b\u043d\u044f\u0435\u0442\u0441\u044f \u0434\u0430\u043d\u043d\u0430\u044f \u043e\u043f\u0435\u0440\u0430\u0446\u0438\u044f.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u0415\u0441\u043b\u0438 \u0433\u043e\u0432\u043e\u0440\u0438\u0442\u044c \u043f\u0440\u043e\u0441\u0442\u044b\u043c\u0438 \u0441\u043b\u043e\u0432\u0430\u043c\u0438, \u0442\u043e \u0432\u0441\u044f \u0441\u0443\u0442\u044c \u0432\u043e\u0437\u0432\u0435\u0434\u0435\u043d\u0438\u044f \u043c\u0430\u0442\u0440\u0438\u0446\u044b \u0432 \u0441\u0442\u0435\u043f\u0435\u043d\u044c <em>n<\/em> \u0437\u0430\u043a\u043b\u044e\u0447\u0430\u0435\u0442\u0441\u044f \u0432 \u0442\u043e\u043c, \u0447\u0442\u043e\u0431\u044b <strong>\u0443\u043c\u043d\u043e\u0436\u0438\u0442\u044c \u043c\u0430\u0442\u0440\u0438\u0446\u0443 \u043d\u0430 \u0441\u0430\u043c\u0443 \u0441\u0435\u0431\u044f<\/strong>, \u0441\u0434\u0435\u043b\u0430\u0432 \u044d\u0442\u043e <em>n<\/em>-\u0435 \u0447\u0438\u0441\u043b\u043e \u0440\u0430\u0437. \u041e\u0434\u043d\u0430\u043a\u043e \u0441\u0443\u0449\u0435\u0441\u0442\u0432\u0443\u0435\u0442 \u0440\u044f\u0434 \u0443\u0441\u043b\u043e\u0432\u0438\u0439:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u2014 \u043f\u0440\u0430\u0432\u0438\u043b\u043e \u0441\u043f\u0440\u0430\u0432\u0435\u0434\u043b\u0438\u0432\u043e \u043b\u0438\u0448\u044c \u0434\u043b\u044f <strong>\u043a\u0432\u0430\u0434\u0440\u0430\u0442\u043d\u044b\u0445 \u043c\u0430\u0442\u0440\u0438\u0446<\/strong>, \u043a\u043e\u0442\u043e\u0440\u044b\u0435 \u0438\u043c\u0435\u044e\u0442 \u043e\u0434\u0438\u043d\u0430\u043a\u043e\u0432\u043e\u0435 (\u0440\u0430\u0432\u043d\u043e\u0435) \u0447\u0438\u0441\u043b\u043e \u0441\u0442\u0440\u043e\u043a \u0438 \u0441\u0442\u043e\u043b\u0431\u0446\u043e\u0432;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u2014 \u043f\u043e\u043a\u0430\u0437\u0430\u0442\u0435\u043b\u044c \u0441\u0442\u0435\u043f\u0435\u043d\u0438 \u0434\u043e\u043b\u0436\u0435\u043d \u0431\u044b\u0442\u044c <strong>\u043d\u0430\u0442\u0443\u0440\u0430\u043b\u044c\u043d\u044b\u043c <\/strong>(2, 3, 4, 5, 6, 7\u2026).<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">\u041a\u0432\u0430\u0434\u0440\u0430\u0442 \u043c\u0430\u0442\u0440\u0438\u0446\u044b<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">\u0414\u043b\u044f \u043f\u0440\u0438\u043c\u0435\u0440\u0430 \u0434\u0430\u0432\u0430\u0439\u0442\u0435 \u0432\u043e\u0437\u0432\u0435\u0434\u0435\u043c \u043c\u0430\u0442\u0440\u0438\u0446\u0443 \u0432 \u043a\u0432\u0430\u0434\u0440\u0430\u0442 (\u0442\u043e \u0435\u0441\u0442\u044c \u0432\u043e \u0432\u0442\u043e\u0440\u0443\u044e \u0441\u0442\u0435\u043f\u0435\u043d\u044c). \u041f\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u0438\u043c, \u0447\u0442\u043e \u0443 \u043d\u0430\u0441 \u0435\u0441\u0442\u044c \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u043d\u0430\u044f \u043c\u0430\u0442\u0440\u0438\u0446\u0430 <code>\u0410<sup>2<\/sup><\/code>. \u041a\u0430\u043a \u0443\u0436\u0435 \u0431\u044b\u043b\u043e \u0441\u043a\u0430\u0437\u0430\u043d\u043e \u0432\u044b\u0448\u0435, \u0434\u043b\u044f \u043f\u043e\u043b\u0443\u0447\u0435\u043d\u0438\u044f \u043d\u0443\u0436\u043d\u043e\u0433\u043e \u0440\u0435\u0437\u0443\u043b\u044c\u0442\u0430\u0442\u0430 \u0435\u0435 \u043d\u0443\u0436\u043d\u043e \u0443\u043c\u043d\u043e\u0436\u0438\u0442\u044c \u043d\u0430 \u0441\u0430\u043c\u0443 \u0441\u0435\u0431\u044f:<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"64\" height=\"20\" src=\"https:\/\/otus.ru\/journal\/wp-content\/uploads\/2021\/04\/1-2.png\" alt=\"\u041a\u0430\u043a \u0432\u043e\u0437\u0432\u0435\u0441\u0442\u0438 \u043c\u0430\u0442\u0440\u0438\u0446\u0443 \u0432 \u0441\u0442\u0435\u043f\u0435\u043d\u044c?\" class=\"wp-image-1179\"\/><script type=\"application\/ld+json\">{\"@context\":\"https:\/\/schema.org\",\"@type\":\"ImageObject\",\"url\":\"https:\/\/otus.ru\/journal\/wp-content\/uploads\/2021\/04\/1-2.png\",\"width\":\"64\",\"height\":\"20\"}<\/script><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">\u0418\u0441\u0445\u043e\u0434\u043d\u044b\u0435 \u0434\u0430\u043d\u043d\u044b\u0435:<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"111\" height=\"68\" src=\"https:\/\/otus.ru\/journal\/wp-content\/uploads\/2021\/04\/2-2.png\" alt=\"\u041a\u0430\u043a \u0432\u043e\u0437\u0432\u0435\u0441\u0442\u0438 \u043c\u0430\u0442\u0440\u0438\u0446\u0443 \u0432 \u0441\u0442\u0435\u043f\u0435\u043d\u044c?\" class=\"wp-image-1180\"\/><script type=\"application\/ld+json\">{\"@context\":\"https:\/\/schema.org\",\"@type\":\"ImageObject\",\"url\":\"https:\/\/otus.ru\/journal\/wp-content\/uploads\/2021\/04\/2-2.png\",\"width\":\"111\",\"height\":\"68\"}<\/script><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">\u0412 \u043a\u0430\u043a\u043e\u043c \u043f\u043e\u0440\u044f\u0434\u043a\u0435 \u0438 \u043a\u0430\u043a \u043d\u0443\u0436\u043d\u043e \u0432\u044b\u043f\u043e\u043b\u043d\u044f\u0442\u044c \u0440\u0430\u0441\u0447\u0435\u0442, \u0447\u0442\u043e\u0431\u044b \u0432\u043e\u0437\u0432\u0435\u0441\u0442\u0438 <em>\u0410<\/em> \u0432 \u043a\u0432\u0430\u0434\u0440\u0430\u0442? <\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u041f\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u044c\u0442\u0435, \u0447\u0442\u043e <strong><u>\u0441\u0442\u0440\u043e\u043a\u0438<\/u><\/strong> 1-\u0439 \u043c\u0430\u0442\u0440\u0438\u0446\u044b \u043f\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u043b\u044f\u044e\u0442 \u0441\u043e\u0431\u043e\u0439 <em>\u0441\u0442\u043e\u043b\u0438\u043a\u0438 <\/em>\u0432 \u043a\u0430\u0444\u0435\u0442\u0435\u0440\u0438\u0438. \u0422\u043e\u0433\u0434\u0430 <strong><u>\u0441\u0442\u043e\u043b\u0431\u0446\u044b<\/u><\/strong> 2-\u0439 \u043c\u0430\u0442\u0440\u0438\u0446\u044b (\u043d\u0438\u0436\u0435 \u043e\u0431\u043e\u0437\u043d\u0430\u0447\u0435\u043d\u044b \u0440\u0430\u0437\u043d\u044b\u043c\u0438 \u0446\u0432\u0435\u0442\u0430\u043c\u0438) \u2014 \u044d\u0442\u043e <em>\u043e\u0444\u0438\u0446\u0438\u0430\u043d\u0442\u044b<\/em>. \u041f\u043e\u043d\u0430\u0447\u0430\u043b\u0443 \u00ab\u0441\u0442\u043e\u043b\u0438\u043a\u0438 \u043e\u0431\u0441\u043b\u0443\u0436\u0438\u0432\u0430\u044e\u0442\u00bb \u043e\u0444\u0438\u0446\u0438\u0430\u043d\u0442\u044b \u0438\u0437 \u043a\u0440\u0430\u0441\u043d\u043e\u0433\u043e \u0441\u0442\u043e\u043b\u0431\u0446\u0430, \u043f\u043e\u0442\u043e\u043c \u0437\u0435\u043b\u0435\u043d\u043e\u0433\u043e, \u043f\u043e\u0442\u043e\u043c \u0441\u0438\u043d\u0435\u0433\u043e. \u0422\u0430\u043a\u0438\u043c \u043e\u0431\u0440\u0430\u0437\u043e\u043c \u043f\u0440\u043e\u0438\u0441\u0445\u043e\u0434\u0438\u0442 <em>\u043f\u043e\u0441\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u044b\u0439 \u043f\u0435\u0440\u0435\u0431\u043e\u0440 \u0441\u0442\u043e\u043b\u0431\u0446\u043e\u0432 \u0441\u043b\u0435\u0432\u0430 \u043d\u0430\u043f\u0440\u0430\u0432\u043e<\/em>. \u0412\u043e\u0442 \u0442\u0430\u043a\u043e\u0439 \u0432\u043e\u0442 \u043c\u044b\u0441\u043b\u0435\u043d\u043d\u044b\u0439 \u043f\u0440\u0438\u0435\u043c.\u00a0<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>\u0420\u0435\u0448\u0435\u043d\u0438\u0435<\/strong>:<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"593\" height=\"170\" src=\"https:\/\/otus.ru\/journal\/wp-content\/uploads\/2021\/04\/3-2.png\" alt=\"\u041a\u0430\u043a \u0432\u043e\u0437\u0432\u0435\u0441\u0442\u0438 \u043c\u0430\u0442\u0440\u0438\u0446\u0443 \u0432 \u0441\u0442\u0435\u043f\u0435\u043d\u044c?\" class=\"wp-image-1181\" srcset=\"https:\/\/otus.ru\/journal\/wp-content\/uploads\/2021\/04\/3-2.png 593w, https:\/\/otus.ru\/journal\/wp-content\/uploads\/2021\/04\/3-2-300x86.png 300w, https:\/\/otus.ru\/journal\/wp-content\/uploads\/2021\/04\/3-2-150x43.png 150w\" sizes=\"auto, (max-width: 593px) 100vw, 593px\" \/><script type=\"application\/ld+json\">{\"@context\":\"https:\/\/schema.org\",\"@type\":\"ImageObject\",\"url\":\"https:\/\/otus.ru\/journal\/wp-content\/uploads\/2021\/04\/3-2.png\",\"width\":\"593\",\"height\":\"170\"}<\/script><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">\u041d\u0430\u043f\u043e\u0441\u043b\u0435\u0434\u043e\u043a \u0441\u043a\u0430\u0436\u0435\u043c, \u0447\u0442\u043e \u0441\u0435\u0433\u043e\u0434\u043d\u044f \u0441\u0443\u0449\u0435\u0441\u0442\u0432\u0443\u0435\u0442 \u043c\u043d\u043e\u0436\u0435\u0441\u0442\u0432\u043e <strong>\u043e\u043d\u043b\u0430\u0439\u043d-\u043a\u0430\u043b\u044c\u043a\u0443\u043b\u044f\u0442\u043e\u0440\u043e\u0432<\/strong>, \u043f\u043e\u0437\u0432\u043e\u043b\u044f\u044e\u0449\u0438\u0445 \u0432\u044b\u043f\u043e\u043b\u043d\u044f\u0442\u044c \u0448\u0438\u0440\u043e\u043a\u0438\u0439 \u0441\u043f\u0435\u043a\u0442\u0440 \u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u0447\u0435\u0441\u043a\u0438\u0445 \u043c\u0430\u0442\u0440\u0438\u0447\u043d\u044b\u0445 \u043e\u043f\u0435\u0440\u0430\u0446\u0438\u0439:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u2014 \u0432\u043e\u0437\u0432\u0435\u0434\u0435\u043d\u0438\u0435 \u043c\u0430\u0442\u0440\u0438\u0446 \u0432 \u0441\u0442\u0435\u043f\u0435\u043d\u044c;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u2014 \u0443\u043c\u043d\u043e\u0436\u0435\u043d\u0438\u0435 \u043d\u0430 \u0447\u0438\u0441\u043b\u043e;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u2014 \u0441\u043b\u043e\u0436\u0435\u043d\u0438\u0435 \u0438 \u0432\u044b\u0447\u0438\u0442\u0430\u043d\u0438\u0435;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u2014 \u0442\u0440\u0430\u043d\u0441\u043f\u043e\u043d\u0438\u0440\u043e\u0432\u0430\u043d\u0438\u0435;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u2014 \u043d\u0430\u0445\u043e\u0436\u0434\u0435\u043d\u0438\u0435 \u043e\u0431\u0440\u0430\u0442\u043d\u043e\u0439 \u043c\u0430\u0442\u0440\u0438\u0446\u044b;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u2014 \u043d\u0430\u0445\u043e\u0436\u0434\u0435\u043d\u0438\u0435 \u0440\u0430\u043d\u0433\u0430 \u0438 \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u0435\u043b\u044f.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u041d\u0430 \u044d\u0442\u043e\u043c \u0432\u0441\u0435, \u043e\u0447\u0435\u043d\u044c \u043d\u0430\u0434\u0435\u0435\u043c\u0441\u044f, \u0447\u0442\u043e \u0443 \u0432\u0430\u0441 \u0431\u043e\u043b\u044c\u0448\u0435 \u043d\u0435 \u0431\u0443\u0434\u0435\u0442 \u0432\u043e\u0437\u043d\u0438\u043a\u0430\u0442\u044c \u0432\u043e\u043f\u0440\u043e\u0441\u043e\u0432 \u043e \u0442\u043e\u043c, \u043a\u0430\u043a \u0438 \u0432 \u043a\u0430\u043a\u043e\u043c \u043f\u043e\u0440\u044f\u0434\u043a\u0435 \u0432\u043e\u0437\u0432\u043e\u0434\u0438\u0442\u044c \u043c\u0430\u0442\u0440\u0438\u0446\u0443 \u0432 \u0441\u0442\u0435\u043f\u0435\u043d\u044c.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><em>\u041f\u043e \u043c\u0430\u0442\u0435\u0440\u0438\u0430\u043b\u0430\u043c:<\/em><\/p>\n\n\n\n<ul class=\"wp-block-list\"><li><em>https:\/\/studwork.org\/spravochnik\/matematika\/matricy\/vozvedenie-matricy-v-stepen;<\/em><\/li><li><em>http:\/\/www.mathprofi.ru\/svoistva_operacij_nad_matricami_matrichnye_vyrazheniya.html.<\/em><\/li><\/ul>\n","protected":false},"excerpt":{"rendered":"<p>\u0418\u043d\u043e\u0433\u0434\u0430 \u043c\u043e\u0436\u0435\u0442 \u0432\u043e\u0437\u043d\u0438\u043a\u043d\u0443\u0442\u044c \u043d\u0435\u043e\u0431\u0445\u043e\u0434\u0438\u043c\u043e\u0441\u0442\u044c \u0432\u044b\u043f\u043e\u043b\u043d\u0438\u0442\u044c \u0432\u043e\u0437\u0432\u0435\u0434\u0435\u043d\u0438\u0435 \u043c\u0430\u0442\u0440\u0438\u0446\u044b \u0432 \u0441\u0442\u0435\u043f\u0435\u043d\u044c. \u0412 \u044d\u0442\u043e\u0439 \u0441\u0442\u0430\u0442\u044c\u0435 \u043c\u044b \u0440\u0430\u0441\u0441\u043c\u043e\u0442\u0440\u0438\u043c, \u043a\u0430\u043a\u0438\u043c \u043e\u0431\u0440\u0430\u0437\u043e\u043c \u0438 \u0432 \u043a\u0430\u043a\u043e\u043c \u043f\u043e\u0440\u044f\u0434\u043a\u0435 \u0432\u044b\u043f\u043e\u043b\u043d\u044f\u0435\u0442\u0441\u044f \u0434\u0430\u043d\u043d\u0430\u044f \u043e\u043f\u0435\u0440\u0430\u0446\u0438\u044f. \u0415\u0441\u043b\u0438 \u0433\u043e\u0432\u043e\u0440\u0438\u0442\u044c \u043f\u0440\u043e\u0441\u0442\u044b\u043c\u0438 \u0441\u043b\u043e\u0432\u0430\u043c\u0438, \u0442\u043e \u0432\u0441\u044f \u0441\u0443\u0442\u044c \u0432\u043e\u0437\u0432\u0435\u0434\u0435\u043d\u0438\u044f \u043c\u0430\u0442\u0440\u0438\u0446\u044b \u0432 \u0441\u0442\u0435\u043f\u0435\u043d\u044c n \u0437\u0430\u043a\u043b\u044e\u0447\u0430\u0435\u0442\u0441\u044f \u0432 \u0442\u043e\u043c, \u0447\u0442\u043e\u0431\u044b \u0443\u043c\u043d\u043e\u0436\u0438\u0442\u044c \u043c\u0430\u0442\u0440\u0438\u0446\u0443 \u043d\u0430 \u0441\u0430\u043c\u0443 \u0441\u0435\u0431\u044f, \u0441\u0434\u0435\u043b\u0430\u0432 \u044d\u0442\u043e n-\u0435 \u0447\u0438\u0441\u043b\u043e \u0440\u0430\u0437. \u041e\u0434\u043d\u0430\u043a\u043e \u0441\u0443\u0449\u0435\u0441\u0442\u0432\u0443\u0435\u0442 \u0440\u044f\u0434 \u0443\u0441\u043b\u043e\u0432\u0438\u0439: \u2014 \u043f\u0440\u0430\u0432\u0438\u043b\u043e 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