<script type="application/ld+json">{"@context":"https:\/\/schema.org","@graph":[{"@context":"https:\/\/schema.org","@type":"SiteNavigationElement","@id":"#table-of-contents","name":"\u041b\u0435\u043a\u0446\u0438\u044f 4. \u041b\u0438\u043d\u0435\u0439\u043d\u044b\u0435 \u043f\u0440\u043e\u0441\u0442\u0440\u0430\u043d\u0441\u0442\u0432\u0430 \u0438 \u043e\u043f\u0435\u0440\u0430\u0442\u043e\u0440\u044b","url":"https:\/\/studies.in.ua\/ru\/algebra-i-geometriya-lekcii\/4516-opredelenie-lineynogo-prostranstva-svoystva-lineynogo-prostranstva.htmlhttps:\/\/studies.in.ua\/ru\/algebra-i-geometriya-lekcii\/4516-opredelenie-lineynogo-prostranstva-svoystva-lineynogo-prostranstva.html\/#%D0%9B%D0%B5%D0%BA%D1%86%D0%B8%D1%8F_4_%D0%9B%D0%B8%D0%BD%D0%B5%D0%B9%D0%BD%D1%8B%D0%B5_%D0%BF%D1%80%D0%BE%D1%81%D1%82%D1%80%D0%B0%D0%BD%D1%81%D1%82%D0%B2%D0%B0_%D0%B8_%D0%BE%D0%BF%D0%B5%D1%80%D0%B0%D1%82%D0%BE%D1%80%D1%8B"},{"@context":"https:\/\/schema.org","@type":"SiteNavigationElement","@id":"#table-of-contents","name":"1. \u041b\u0438\u043d\u0435\u0439\u043d\u043e\u0435 \u043f\u0440\u043e\u0441\u0442\u0440\u0430\u043d\u0441\u0442\u0432\u043e. \u0411\u0430\u0437\u0438\u0441. \u0420\u0430\u0437\u043c\u0435\u0440\u043d\u043e\u0441\u0442\u044c.&nbsp;\u041f\u043e\u0434\u043f\u0440\u043e\u0441\u0442\u0440\u0430\u043d\u0441\u0442\u0432\u043e","url":"https:\/\/studies.in.ua\/ru\/algebra-i-geometriya-lekcii\/4516-opredelenie-lineynogo-prostranstva-svoystva-lineynogo-prostranstva.htmlhttps:\/\/studies.in.ua\/ru\/algebra-i-geometriya-lekcii\/4516-opredelenie-lineynogo-prostranstva-svoystva-lineynogo-prostranstva.html\/#1_%D0%9B%D0%B8%D0%BD%D0%B5%D0%B9%D0%BD%D0%BE%D0%B5_%D0%BF%D1%80%D0%BE%D1%81%D1%82%D1%80%D0%B0%D0%BD%D1%81%D1%82%D0%B2%D0%BE_%D0%91%D0%B0%D0%B7%D0%B8%D1%81_%D0%A0%D0%B0%D0%B7%D0%BC%D0%B5%D1%80%D0%BD%D0%BE%D1%81%D1%82%D1%8C_%D0%9F%D0%BE%D0%B4%D0%BF%D1%80%D0%BE%D1%81%D1%82%D1%80%D0%B0%D0%BD%D1%81%D1%82%D0%B2%D0%BE"},{"@context":"https:\/\/schema.org","@type":"SiteNavigationElement","@id":"#table-of-contents","name":"1.1 \u041e\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u0435 \u043b\u0438\u043d\u0435\u0439\u043d\u043e\u0433\u043e \u043f\u0440\u043e\u0441\u0442\u0440\u0430\u043d\u0441\u0442\u0432\u0430","url":"https:\/\/studies.in.ua\/ru\/algebra-i-geometriya-lekcii\/4516-opredelenie-lineynogo-prostranstva-svoystva-lineynogo-prostranstva.htmlhttps:\/\/studies.in.ua\/ru\/algebra-i-geometriya-lekcii\/4516-opredelenie-lineynogo-prostranstva-svoystva-lineynogo-prostranstva.html\/#11_%D0%9E%D0%BF%D1%80%D0%B5%D0%B4%D0%B5%D0%BB%D0%B5%D0%BD%D0%B8%D0%B5_%D0%BB%D0%B8%D0%BD%D0%B5%D0%B9%D0%BD%D0%BE%D0%B3%D0%BE_%D0%BF%D1%80%D0%BE%D1%81%D1%82%D1%80%D0%B0%D0%BD%D1%81%D1%82%D0%B2%D0%B0"},{"@context":"https:\/\/schema.org","@type":"SiteNavigationElement","@id":"#table-of-contents","name":"1.2. \u0421\u0432\u043e\u0439\u0441\u0442\u0432\u0430 \u043b\u0438\u043d\u0435\u0439\u043d\u043e\u0433\u043e \u043f\u0440\u043e\u0441\u0442\u0440\u0430\u043d\u0441\u0442\u0432\u0430","url":"https:\/\/studies.in.ua\/ru\/algebra-i-geometriya-lekcii\/4516-opredelenie-lineynogo-prostranstva-svoystva-lineynogo-prostranstva.htmlhttps:\/\/studies.in.ua\/ru\/algebra-i-geometriya-lekcii\/4516-opredelenie-lineynogo-prostranstva-svoystva-lineynogo-prostranstva.html\/#12_%D0%A1%D0%B2%D0%BE%D0%B9%D1%81%D1%82%D0%B2%D0%B0_%D0%BB%D0%B8%D0%BD%D0%B5%D0%B9%D0%BD%D0%BE%D0%B3%D0%BE_%D0%BF%D1%80%D0%BE%D1%81%D1%82%D1%80%D0%B0%D0%BD%D1%81%D1%82%D0%B2%D0%B0"}]}</script>{"id":10034,"date":"2017-02-27T16:37:41","date_gmt":"2017-02-27T16:37:41","guid":{"rendered":"http:\/\/studies\/bez-kategorii\/10034-4516-opredelenie-lineynogo-prostranstva-svoystva-lineynogo-prostranstva.html"},"modified":"2017-02-27T16:37:41","modified_gmt":"2017-02-27T16:37:41","slug":"4516-opredelenie-lineynogo-prostranstva-svoystva-lineynogo-prostranstva","status":"publish","type":"post","link":"https:\/\/studies.in.ua\/ru\/algebra-i-geometriya-lekcii\/4516-opredelenie-lineynogo-prostranstva-svoystva-lineynogo-prostranstva.html","title":{"rendered":"\u041e\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u0435 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href=\"https:\/\/studies.in.ua\/ru\/algebra-i-geometriya-lekcii\/4516-opredelenie-lineynogo-prostranstva-svoystva-lineynogo-prostranstva.html\/#%D0%9B%D0%B5%D0%BA%D1%86%D0%B8%D1%8F_4_%D0%9B%D0%B8%D0%BD%D0%B5%D0%B9%D0%BD%D1%8B%D0%B5_%D0%BF%D1%80%D0%BE%D1%81%D1%82%D1%80%D0%B0%D0%BD%D1%81%D1%82%D0%B2%D0%B0_%D0%B8_%D0%BE%D0%BF%D0%B5%D1%80%D0%B0%D1%82%D0%BE%D1%80%D1%8B\" title=\"\u041b\u0435\u043a\u0446\u0438\u044f 4. \u041b\u0438\u043d\u0435\u0439\u043d\u044b\u0435 \u043f\u0440\u043e\u0441\u0442\u0440\u0430\u043d\u0441\u0442\u0432\u0430 \u0438 \u043e\u043f\u0435\u0440\u0430\u0442\u043e\u0440\u044b\">\u041b\u0435\u043a\u0446\u0438\u044f 4. \u041b\u0438\u043d\u0435\u0439\u043d\u044b\u0435 \u043f\u0440\u043e\u0441\u0442\u0440\u0430\u043d\u0441\u0442\u0432\u0430 \u0438 \u043e\u043f\u0435\u0440\u0430\u0442\u043e\u0440\u044b<\/a><ul class='ez-toc-list-level-2'><li class='ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/studies.in.ua\/ru\/algebra-i-geometriya-lekcii\/4516-opredelenie-lineynogo-prostranstva-svoystva-lineynogo-prostranstva.html\/#1_%D0%9B%D0%B8%D0%BD%D0%B5%D0%B9%D0%BD%D0%BE%D0%B5_%D0%BF%D1%80%D0%BE%D1%81%D1%82%D1%80%D0%B0%D0%BD%D1%81%D1%82%D0%B2%D0%BE_%D0%91%D0%B0%D0%B7%D0%B8%D1%81_%D0%A0%D0%B0%D0%B7%D0%BC%D0%B5%D1%80%D0%BD%D0%BE%D1%81%D1%82%D1%8C_%D0%9F%D0%BE%D0%B4%D0%BF%D1%80%D0%BE%D1%81%D1%82%D1%80%D0%B0%D0%BD%D1%81%D1%82%D0%B2%D0%BE\" title=\"1. \u041b\u0438\u043d\u0435\u0439\u043d\u043e\u0435 \u043f\u0440\u043e\u0441\u0442\u0440\u0430\u043d\u0441\u0442\u0432\u043e. \u0411\u0430\u0437\u0438\u0441. \u0420\u0430\u0437\u043c\u0435\u0440\u043d\u043e\u0441\u0442\u044c.&nbsp;\u041f\u043e\u0434\u043f\u0440\u043e\u0441\u0442\u0440\u0430\u043d\u0441\u0442\u0432\u043e\">1. \u041b\u0438\u043d\u0435\u0439\u043d\u043e\u0435 \u043f\u0440\u043e\u0441\u0442\u0440\u0430\u043d\u0441\u0442\u0432\u043e. \u0411\u0430\u0437\u0438\u0441. \u0420\u0430\u0437\u043c\u0435\u0440\u043d\u043e\u0441\u0442\u044c.&nbsp;\u041f\u043e\u0434\u043f\u0440\u043e\u0441\u0442\u0440\u0430\u043d\u0441\u0442\u0432\u043e<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/studies.in.ua\/ru\/algebra-i-geometriya-lekcii\/4516-opredelenie-lineynogo-prostranstva-svoystva-lineynogo-prostranstva.html\/#11_%D0%9E%D0%BF%D1%80%D0%B5%D0%B4%D0%B5%D0%BB%D0%B5%D0%BD%D0%B8%D0%B5_%D0%BB%D0%B8%D0%BD%D0%B5%D0%B9%D0%BD%D0%BE%D0%B3%D0%BE_%D0%BF%D1%80%D0%BE%D1%81%D1%82%D1%80%D0%B0%D0%BD%D1%81%D1%82%D0%B2%D0%B0\" title=\"1.1 \u041e\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u0435 \u043b\u0438\u043d\u0435\u0439\u043d\u043e\u0433\u043e \u043f\u0440\u043e\u0441\u0442\u0440\u0430\u043d\u0441\u0442\u0432\u0430\">1.1 \u041e\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u0435 \u043b\u0438\u043d\u0435\u0439\u043d\u043e\u0433\u043e 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id=\"%D0%9B%D0%B5%D0%BA%D1%86%D0%B8%D1%8F_4_%D0%9B%D0%B8%D0%BD%D0%B5%D0%B9%D0%BD%D1%8B%D0%B5_%D0%BF%D1%80%D0%BE%D1%81%D1%82%D1%80%D0%B0%D0%BD%D1%81%D1%82%D0%B2%D0%B0_%D0%B8_%D0%BE%D0%BF%D0%B5%D1%80%D0%B0%D1%82%D0%BE%D1%80%D1%8B\"><\/span>\u041b\u0435\u043a\u0446\u0438\u044f 4. \u041b\u0438\u043d\u0435\u0439\u043d\u044b\u0435 \u043f\u0440\u043e\u0441\u0442\u0440\u0430\u043d\u0441\u0442\u0432\u0430 \u0438 \u043e\u043f\u0435\u0440\u0430\u0442\u043e\u0440\u044b<span class=\"ez-toc-section-end\"><\/span><\/h1>\n<h2 style=\"text-align: center;\">\n\t<\/h2>\n<h2 style=\"text-align: center;\"><span class=\"ez-toc-section\" id=\"1_%D0%9B%D0%B8%D0%BD%D0%B5%D0%B9%D0%BD%D0%BE%D0%B5_%D0%BF%D1%80%D0%BE%D1%81%D1%82%D1%80%D0%B0%D0%BD%D1%81%D1%82%D0%B2%D0%BE_%D0%91%D0%B0%D0%B7%D0%B8%D1%81_%D0%A0%D0%B0%D0%B7%D0%BC%D0%B5%D1%80%D0%BD%D0%BE%D1%81%D1%82%D1%8C_%D0%9F%D0%BE%D0%B4%D0%BF%D1%80%D0%BE%D1%81%D1%82%D1%80%D0%B0%D0%BD%D1%81%D1%82%D0%B2%D0%BE\"><\/span>1. \u041b\u0438\u043d\u0435\u0439\u043d\u043e\u0435 \u043f\u0440\u043e\u0441\u0442\u0440\u0430\u043d\u0441\u0442\u0432\u043e. \u0411\u0430\u0437\u0438\u0441. \u0420\u0430\u0437\u043c\u0435\u0440\u043d\u043e\u0441\u0442\u044c.&nbsp;\u041f\u043e\u0434\u043f\u0440\u043e\u0441\u0442\u0440\u0430\u043d\u0441\u0442\u0432\u043e<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><\/p>\n<h2><span class=\"ez-toc-section\" id=\"11_%D0%9E%D0%BF%D1%80%D0%B5%D0%B4%D0%B5%D0%BB%D0%B5%D0%BD%D0%B8%D0%B5_%D0%BB%D0%B8%D0%BD%D0%B5%D0%B9%D0%BD%D0%BE%D0%B3%D0%BE_%D0%BF%D1%80%D0%BE%D1%81%D1%82%D1%80%D0%B0%D0%BD%D1%81%D1%82%D0%B2%D0%B0\"><\/span>1.1 \u041e\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u0435 \u043b\u0438\u043d\u0435\u0439\u043d\u043e\u0433\u043e \u043f\u0440\u043e\u0441\u0442\u0440\u0430\u043d\u0441\u0442\u0432\u0430<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><b>\u041e\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u0435.<\/b> \u041c\u043d\u043e\u0436\u0435\u0441\u0442\u0432\u043e  \u044d\u043b\u0435\u043c\u0435\u043d\u0442\u043e\u0432 <i><b>x , y , \u2026, z<\/b><\/i> \u043d\u0430\u0437\u044b\u0432\u0430\u0435\u0442\u0441\u044f <i><b>\u043b\u0438\u043d\u0435\u0439\u043d\u044b\u043c \u043f\u0440\u043e\u0441\u0442\u0440\u0430\u043d<\/b><\/i><span><i><b>\u0441\u0442\u0432\u043e\u043c<\/b><\/i>, \u0435\u0441\u043b\u0438:<\/span><\/p>\n<p>1) \u0414\u043b\u044f \u043b\u044e\u0431\u044b\u0445 \u0434\u0432\u0443\u0445 \u044d\u043b\u0435\u043c\u0435\u043d\u0442\u043e\u0432 x  \u0438 y  \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0430 \u043e\u043f\u0435\u0440\u0430\u0446\u0438\u044f \u0441\u043b\u043e\u0436\u0435\u043d\u0438\u044f \u044d\u0442\u0438\u0445 \u044d\u043b\u0435\u043c\u0435\u043d\u0442\u043e\u0432,&nbsp;<span>\u0442.\u0435. \u0434\u0430\u043d\u043e \u043f\u0440\u0430\u0432\u0438\u043b\u043e \u043d\u0430\u0445\u043e\u0436\u0434\u0435\u043d\u0438\u044f \u044d\u043b\u0435\u043c\u0435\u043d\u0442\u0430 \u043b\u0438\u043d\u0435\u0439\u043d\u043e\u0433\u043e \u043f\u0440\u043e\u0441\u0442\u0440\u0430\u043d\u0441\u0442\u0432\u0430 , \u043d\u0430\u0437\u044b\u0432\u0430\u0435\u043c\u043e\u0433\u043e \u0438\u0445&nbsp;<\/span><span>\u0441\u0443\u043c\u043c\u043e\u0439 \u0438 \u043e\u0431\u043e\u0437\u043d\u0430\u0447\u0430\u0435\u043c\u043e\u0433\u043e x + y ;<\/span><\/p>\n<p>2) \u0414\u043b\u044f \u043b\u044e\u0431\u043e\u0433\u043e \u044d\u043b\u0435\u043c\u0435\u043d\u0442\u0430 x  \u0438 \u043b\u044e\u0431\u043e\u0433\u043e \u0447\u0438\u0441\u043b\u0430  &#8212; \u0432\u0435\u0449\u0435\u0441\u0442\u0432\u0435\u043d\u043d\u043e\u0433\u043e \u0438\u043b\u0438 \u043a\u043e\u043c\u043f\u043b\u0435\u043a\u0441\u043d\u043e\u0433\u043e \u2013&nbsp;<span>\u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0430 \u043e\u043f\u0435\u0440\u0430\u0446\u0438\u044f \u0443\u043c\u043d\u043e\u0436\u0435\u043d\u0438\u044f \u044d\u043b\u0435\u043c\u0435\u043d\u0442\u0430 x \u043d\u0430 \u0447\u0438\u0441\u043b\u043e  , \u0442.\u0435. \u0434\u0430\u043d\u043e \u043f\u0440\u0430\u0432\u0438\u043b\u043e \u043d\u0430\u0445\u043e\u0436\u0434\u0435\u043d\u0438\u044f&nbsp;<\/span><span>\u044d\u043b\u0435\u043c\u0435\u043d\u0442\u0430 \u043b\u0438\u043d\u0435\u0439\u043d\u043e\u0433\u043e \u043f\u0440\u043e\u0441\u0442\u0440\u0430\u043d\u0441\u0442\u0432\u0430 , \u043d\u0430\u0437\u044b\u0432\u0430\u0435\u043c\u043e\u0433\u043e \u043f\u0440\u043e\u0438\u0437\u0432\u0435\u0434\u0435\u043d\u0438\u0435\u043c \u044d\u043b\u0435\u043c\u0435\u043d\u0442\u0430 x \u043d\u0430 \u0447\u0438\u0441\u043b\u043e  \u0438&nbsp;<\/span><span>\u043e\u0431\u043e\u0437\u043d\u0430\u0447\u0430\u0435\u043c\u043e\u0433\u043e   x ;<\/span><\/p>\n<p>3) \u041e\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u043e \u0440\u0430\u0432\u0435\u043d\u0441\u0442\u0432\u043e \u044d\u043b\u0435\u043c\u0435\u043d\u0442\u043e\u0432 \u0438\u0437  , \u043e\u0431\u043e\u0437\u043d\u0430\u0447\u0430\u0435\u043c\u043e\u0435 \u0437\u043d\u0430\u043a\u043e\u043c = ;<\/p>\n<p>4) \u041e\u043f\u0435\u0440\u0430\u0446\u0438\u0438 \u0441\u043b\u043e\u0436\u0435\u043d\u0438\u044f \u0438 \u0443\u043c\u043d\u043e\u0436\u0435\u043d\u0438\u044f \u043d\u0430 \u0447\u0438\u0441\u043b\u043e \u0443\u0434\u043e\u0432\u043b\u0435\u0442\u0432\u043e\u0440\u044f\u044e\u0442 \u0443\u0441\u043b\u043e\u0432\u0438\u044f\u043c:<\/p>\n<p>a) x + y = y + x , \u0442.\u0435. \u0441\u043b\u043e\u0436\u0435\u043d\u0438\u0435 \u043a\u043e\u043c\u043c\u0443\u0442\u0430\u0442\u0438\u0432\u043d\u043e;<\/p>\n<p>\u0431) (x + y) + z = x + (y + z) , \u0442.\u0435. \u0441\u043b\u043e\u0436\u0435\u043d\u0438\u0435 \u0430\u0441\u0441\u043e\u0446\u0438\u0430\u0442\u0438\u0432\u043d\u043e;<\/p>\n<p>\u0432)  ( x) = (  )x , \u0442.\u0435. \u0443\u043c\u043d\u043e\u0436\u0435\u043d\u0438\u0435 \u043d\u0430 \u0447\u0438\u0441\u043b\u043e \u0430\u0441\u0441\u043e\u0446\u0438\u0430\u0442\u0438\u0432\u043d\u043e;<\/p>\n<p>\u0433) ( +  )  x =   x +   x , \u0442.\u0435. \u0443\u043c\u043d\u043e\u0436\u0435\u043d\u0438\u0435 \u0434\u0438\u0441\u0442\u0440\u0438\u0431\u0443\u0442\u0438\u0432\u043d\u043e \u043f\u043e \u043e\u0442\u043d\u043e\u0448\u0435\u043d\u0438\u044e \u043a \u0441\u043b\u043e\u0436\u0435\u043d\u0438\u044e&nbsp;<span>\u0447\u0438\u0441\u0435\u043b;<\/span><\/p>\n<p>\u0434)  (x + y) =   x +   y , \u0442.\u0435. \u0443\u043c\u043d\u043e\u0436\u0435\u043d\u0438\u0435 \u043d\u0430 \u0447\u0438\u0441\u043b\u043e \u0434\u0438\u0441\u0442\u0440\u0438\u0431\u0443\u0442\u0438\u0432\u043d\u043e \u043f\u043e \u043e\u0442\u043d\u043e\u0448\u0435\u043d\u0438\u044e \u043a&nbsp;<span>\u0441\u043b\u043e\u0436\u0435\u043d\u0438\u044e \u044d\u043b\u0435\u043c\u0435\u043d\u0442\u043e\u0432 \u0438\u0437 ;<\/span><\/p>\n<p>\u0435) \u0421\u0443\u0449\u0435\u0441\u0442\u0432\u0443\u0435\u0442 \u044d\u043b\u0435\u043c\u0435\u043d\u0442, \u043d\u0430\u0437\u044b\u0432\u0430\u0435\u043c\u044b\u0439 \u043d\u0443\u043b\u0435\u0432\u044b\u043c \u0438 \u0442\u0430\u043a\u043e\u0439, \u0447\u0442\u043e \u0434\u043b\u044f \u043b\u044e\u0431\u043e\u0433\u043e \u044d\u043b\u0435\u043c\u0435\u043d\u0442\u0430 x ,&nbsp;x + 0 = x ;<\/p>\n<p>\u0436) \u0414\u043b\u044f \u043b\u044e\u0431\u043e\u0433\u043e \u044d\u043b\u0435\u043c\u0435\u043d\u0442\u0430 x  \u0438\u043c\u0435\u0435\u0442 \u043c\u0435\u0441\u0442\u043e \u0440\u0430\u0432\u0435\u043d\u0441\u0442\u0432\u043e x  1 = 1  x = x .<\/p>\n<p>\u0437) \u0414\u043b\u044f \u043b\u044e\u0431\u043e\u0433\u043e \u044d\u043b\u0435\u043c\u0435\u043d\u0442\u0430 x \u0441\u0443\u0449\u0435\u0441\u0442\u0432\u0443\u0435\u0442 \u044d\u043b\u0435\u043c\u0435\u043d\u0442 x , \u043d\u0430\u0437\u044b\u0432\u0430\u0435\u043c\u044b\u0439 \u043f\u0440\u043e\u0442\u0438\u0432\u043e\u043f\u043e\u043b\u043e\u0436\u043d\u044b\u043c<\/p>\n<p>\u044d\u043b\u0435\u043c\u0435\u043d\u0442\u0443 x \u0438 \u0442\u0430\u043a\u043e\u0439, \u0447\u0442\u043e x + ( x) = 0.<\/p>\n<p>\u0417\u0430\u043c\u0435\u0442\u0438\u043c, \u0447\u0442\u043e \u0435\u0441\u043b\u0438 \u043f\u0440\u043e\u0438\u0437\u0432\u0435\u0434\u0435\u043d\u0438\u0435 x \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u043e \u0442\u043e\u043b\u044c\u043a\u043e \u0434\u043b\u044f \u0432\u0435\u0449\u0435\u0441\u0442\u0432\u0435\u043d\u043d\u044b\u0445 \u0447\u0438\u0441\u0435\u043b, \u0442\u043e&nbsp;<span>\u043f\u0440\u043e\u0441\u0442\u0440\u0430\u043d\u0441\u0442\u0432\u043e  \u043d\u0430\u0437\u044b\u0432\u0430\u0435\u0442\u0441\u044f <i><b>\u0432\u0435\u0449\u0435\u0441\u0442\u0432\u0435\u043d\u043d\u044b\u043c \u043b\u0438\u043d\u0435\u0439\u043d\u044b\u043c \u043f\u0440\u043e\u0441\u0442\u0440\u0430\u043d\u0441\u0442\u0432\u043e\u043c<\/b><\/i>; \u0435\u0441\u043b\u0438 \u0436\u0435  &#8212;&nbsp;<\/span><span>\u043a\u043e\u043c\u043f\u043b\u0435\u043a\u0441\u043d\u043e\u0435 \u0447\u0438\u0441\u043b\u043e, \u0442\u043e \u043b\u0438\u043d\u0435\u0439\u043d\u043e\u0435 \u043f\u0440\u043e\u0441\u0442\u0440\u0430\u043d\u0441\u0442\u0432\u043e  \u043d\u0430\u0437\u044b\u0432\u0430\u0435\u0442\u0441\u044f <i><b>\u043a\u043e\u043c\u043f\u043b\u0435\u043a\u0441\u043d\u044b\u043c \u043b\u0438\u043d\u0435\u0439\u043d\u044b\u043c&nbsp;<\/b><\/i><\/span><span><i><b>\u043f\u0440\u043e\u0441\u0442\u0440\u0430\u043d\u0441\u0442\u0432\u043e\u043c<\/b><\/i>. \u0415\u0441\u043b\u0438 \u0438\u0437\u0432\u0435\u0441\u0442\u043d\u0430 \u043f\u0440\u0438\u0440\u043e\u0434\u0430 \u044d\u043b\u0435\u043c\u0435\u043d\u0442\u043e\u0432, \u0432\u0445\u043e\u0434\u044f\u0449\u0438\u0445 \u0432 \u043b\u0438\u043d\u0435\u0439\u043d\u043e\u0435 \u043f\u0440\u043e\u0441\u0442\u0440\u0430\u043d\u0441\u0442\u0432\u043e, \u0442\u043e&nbsp;<\/span><span>\u043b\u0438\u043d\u0435\u0439\u043d\u043e\u0435 \u043f\u0440\u043e\u0441\u0442\u0440\u0430\u043d\u0441\u0442\u0432\u043e \u043d\u0430\u0437\u044b\u0432\u0430\u0435\u0442\u0441\u044f \u043a\u043e\u043d\u043a\u0440\u0435\u0442\u043d\u044b\u043c.<\/span><\/p>\n<h2><span class=\"ez-toc-section\" id=\"12_%D0%A1%D0%B2%D0%BE%D0%B9%D1%81%D1%82%D0%B2%D0%B0_%D0%BB%D0%B8%D0%BD%D0%B5%D0%B9%D0%BD%D0%BE%D0%B3%D0%BE_%D0%BF%D1%80%D0%BE%D1%81%D1%82%D1%80%D0%B0%D0%BD%D1%81%D1%82%D0%B2%D0%B0\"><\/span>1.2. \u0421\u0432\u043e\u0439\u0441\u0442\u0432\u0430 \u043b\u0438\u043d\u0435\u0439\u043d\u043e\u0433\u043e \u043f\u0440\u043e\u0441\u0442\u0440\u0430\u043d\u0441\u0442\u0432\u0430<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>1. \u0412 \u043a\u0430\u0436\u0434\u043e\u043c \u043b\u0438\u043d\u0435\u0439\u043d\u043e\u043c \u043f\u0440\u043e\u0441\u0442\u0440\u0430\u043d\u0441\u0442\u0432\u0435 \u0441\u0443\u0449\u0435\u0441\u0442\u0432\u0443\u0435\u0442 \u0435\u0434\u0438\u043d\u0441\u0442\u0432\u0435\u043d\u043d\u044b\u0439 \u044d\u043b\u0435\u043c\u0435\u043d\u0442 0.<\/p>\n<p>2. \u0412 \u043a\u0430\u0436\u0434\u043e\u043c \u043b\u0438\u043d\u0435\u0439\u043d\u043e\u043c \u043f\u0440\u043e\u0441\u0442\u0440\u0430\u043d\u0441\u0442\u0432\u0435 \u043b\u044e\u0431\u043e\u043c\u0443 \u044d\u043b\u0435\u043c\u0435\u043d\u0442\u0443 \u0441\u043e\u043e\u0442\u0432\u0435\u0442\u0441\u0442\u0432\u0443\u0435\u0442 \u0435\u0434\u0438\u043d\u0441\u0442\u0432\u0435\u043d\u043d\u044b\u0439&nbsp;<span>\u043f\u0440\u043e\u0442\u0438\u0432\u043e\u043f\u043e\u043b\u043e\u0436\u043d\u044b\u0439 \u044d\u043b\u0435\u043c\u0435\u043d\u0442.<\/span><\/p>\n<p>3. \u0414\u043b\u044f \u0432\u0441\u044f\u043a\u043e\u0433\u043e \u044d\u043b\u0435\u043c\u0435\u043d\u0442\u0430 x  \u0441\u043f\u0440\u0430\u0432\u0435\u0434\u043b\u0438\u0432\u043e \u0440\u0430\u0432\u0435\u043d\u0441\u0442\u0432\u043e 0  x = 0.<\/p>\n<p>\u041f\u0440\u043e\u0438\u0437\u0432\u0435\u0434\u0435\u043d\u0438\u0435 \u043b\u044e\u0431\u043e\u0433\u043e \u0447\u0438\u0441\u043b\u0430  \u043d\u0430 \u043d\u0443\u043b\u0435\u0432\u043e\u0439 \u044d\u043b\u0435\u043c\u0435\u043d\u0442 \u043b\u0438\u043d\u0435\u0439\u043d\u043e\u0433\u043e \u043f\u0440\u043e\u0441\u0442\u0440\u0430\u043d\u0441\u0442\u0432\u0430 \u0440\u0430\u0432\u043d\u043e&nbsp;<span>\u043d\u0443\u043b\u0435\u0432\u043e\u043c\u0443 \u044d\u043b\u0435\u043c\u0435\u043d\u0442\u0443, \u0442.\u0435.   0 = 0.<\/span><\/p>\n<p>4. \u0414\u043b\u044f \u043a\u0430\u0436\u0434\u043e\u0433\u043e \u044d\u043b\u0435\u043c\u0435\u043d\u0442\u0430 x  \u043f\u0440\u043e\u0442\u0438\u0432\u043e\u043f\u043e\u043b\u043e\u0436\u043d\u044b\u0439 \u044d\u043b\u0435\u043c\u0435\u043d\u0442 \u0440\u0430\u0432\u0435\u043d \u043f\u0440\u043e\u0438\u0437\u0432\u0435\u0434\u0435\u043d\u0438\u044e 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