{"author_url":"https://blog.hatena.ne.jp/derwind/","author_name":"derwind","type":"rich","url":"https://randommemory.hatenablog.com/entry/2021/10/12/194814","published":"2021-10-12 19:48:14","description":"\u4e0d\u5909\u90e8\u5206\u7a7a\u9593 - \u3089\u3093\u3060\u3080\u306a\u8a18\u61b6 \u3092\u7d9a\u3051\u308b\u3002\u88dc\u984c\u3092\u4e00\u3064\u7528\u610f\u3059\u308b\u3002 \u88dc\u984c $A$ \u3092\u6b63\u5247\u884c\u5217\u3068\u3059\u308b\u3002$V^\\prime$ \u3092 $A$-\u4e0d\u5909\u306a\u30d9\u30af\u30c8\u30eb\u7a7a\u9593\u3068\u3059\u308b\u3002\u3053\u306e\u6642\u3001$\\mathrm{Ran}(A|_{V^\\prime}) = V^\\prime$\u8a3c\u660e $e_1, \\cdots, e_k$ \u3092 $V^\\prime$ \u306e\u57fa\u5e95\u3068\u3059\u308b\u3068\u3001$A e_1, \\cdots, A e_k$ \u306f $V^\\prime$ \u306e $k$ \u500b\u306e\u4e00\u6b21\u72ec\u7acb\u306a\u30d9\u30af\u30c8\u30eb\u3001\u5f93\u3063\u3066\u57fa\u5e95\u3067\u3042\u308b\u3002\u3053\u308c\u306f $\\sum \\alpha_i A e_i = 0$ \u306b\u5de6\u304b\u3089 $A^{-1}$ \u3092\u304b\u3051\u308b\u3053\u3068\u3067\u793a\u3055\u308c\u308b\u3002${}_\\blacksquar\u2026","image_url":null,"blog_title":"\u3089\u3093\u3060\u3080\u306a\u8a18\u61b6","height":"190","html":"<iframe src=\"https://hatenablog-parts.com/embed?url=https%3A%2F%2Frandommemory.hatenablog.com%2Fentry%2F2021%2F10%2F12%2F194814\" title=\"\u4e0d\u5909\u90e8\u5206\u7a7a\u9593 (2) - \u3089\u3093\u3060\u3080\u306a\u8a18\u61b6\" class=\"embed-card embed-blogcard\" scrolling=\"no\" frameborder=\"0\" style=\"display: block; width: 100%; height: 190px; max-width: 500px; margin: 10px 0px;\"></iframe>","categories":["math-alg"],"version":"1.0","blog_url":"https://randommemory.hatenablog.com/","title":"\u4e0d\u5909\u90e8\u5206\u7a7a\u9593 (2)","provider_name":"Hatena Blog","width":"100%","provider_url":"https://hatena.blog"}