矩阵A的行元素之和什么意思啊?
\u7ebf\u6027\u4ee3\u6570\u77e9\u9635\u4e2d|A|\u4e0eA*\u662f\u4ec0\u4e48\u610f\u601d?|A|\u662fA\u7684\u884c\u5217\u5f0f\uff0c\u53c8\u8bb0\u4e3adetA\uff0cA*\u662f\u6307\u77e9\u9635A\u7684\u4f34\u968f\u77e9\u9635\uff0c\u662f\u7531A\u7684\u5143\u7d20\u7684\u4ee3\u6570\u4f59\u5b50\u5f0f\u6309\u7167\u4ea4\u6362\u884c\u5217\u6807\u7684\u987a\u5e8f\u6784\u6210\u7684\u540c\u7ea7\u77e9\u9635\u3002
\u4f34\u968f\u77e9\u9635\u7684\u5b9a\u4e49\uff1a\u67d0\u77e9\u9635A\u5404\u5143\u7d20\u7684\u4ee3\u6570\u4f59\u5b50\u5f0f\uff0c\u7ec4\u6210\u4e00\u4e2a\u65b0\u7684\u77e9\u9635\u540e\u518d\u8fdb\u884c\u4e00\u4e0b\u8f6c\u7f6e\uff0c\u53eb\u505aA\u7684\u4f34\u968f\u77e9\u9635\u3002
\u67d0\u5143\u7d20\u4ee3\u6570\u4f59\u5b50\u5f0f\u5c31\u662f\u53bb\u6389\u77e9\u9635\u4e2d\u67d0\u5143\u7d20\u6240\u5728\u884c\u548c\u5217\u5143\u7d20\u540e\u7684\u5f62\u6210\u77e9\u9635\u7684\u884c\u5217\u5f0f\uff0c\u518d\u4e58\u4e0a-1\u7684\uff08\u884c\u6570+\u5217\u6570\uff09\u6b21\u65b9\u3002
\u6269\u5c55\u8d44\u6599AA*=A*A=|A|E\u3002
\u8bc1\u660e\u5176\u5b9e\u6574\u4f53\u4e0d\u7b97\u96be\uff0c\u4e00\u4e2a\u662f\u8981\u60f3\u5230\u90a3\u4e2a\u77e9\u9635\u79e9\u4e0d\u7b49\u5f0f,\u4f1a\u7075\u6d3b\u8fd0\u7528,\u53e6\u4e00\u4e2a\u662f\u8981\u60f3\u5230\u77e9\u9635\u79e9\u7684\u53e6\u4e00\u4e2a\u5b9a\u4e49\u3002\u4e00\u822c\u77e9\u9635\u79e9\u662f\u5b9a\u4e49\u4e3a\u884c\u5411\u91cf\u7ec4\u7684\u6781\u5927\u7ebf\u6027\u65e0\u5173\u7ec4\u7684\u5411\u91cf\u4e2a\u6570,\u5176\u5b9e\u77e9\u9635\u79e9\u8fd8\u6709\u53e6\u4e00\u4e2a\u5b9a\u4e49\uff1a\u6700\u9ad8\u9636\u975e0\u5b50\u5f0f\u7684\u9636\u6570\u3002
\u5f53A\u7684\u79e9\u4e3an\u65f6\uff0cA\u53ef\u9006\uff0cA*\u4e5f\u53ef\u9006\uff0c\u6545A*\u7684\u79e9\u4e3an\uff1b\u5f53A\u7684\u79e9\u4e3an-1\u65f6\uff0c\u6839\u636e\u79e9\u7684\u5b9a\u4e49\u53ef\u77e5\uff0cA\u5b58\u5728\u4e0d\u4e3a0\u7684n-1\u9636\u4f59\u5b50\u5f0f\uff0c\u6545A*\u4e0d\u7b49\u4e8e0\uff0c\u53c8\u6839\u636e\u4e0a\u8ff0\u516c\u5f0fAA*=0\u800cA\u7684\u79e9\u5c0f\u4e8en-1\u53ef\u77e5A\u7684\u4efb\u610fn-1\u9636\u4f59\u5b50\u5f0f\u90fd\u662f0\uff0cA*\u7684\u6240\u6709\u5143\u7d20\u90fd\u662f0\uff0c\u662f0\u77e9\u9635\uff0c\u79e9\u4e5f\u5c31\u662f0\u3002
\u697c\u4e0a\u56de\u7b54\u6b63\u786e
\u4ee4 \u03b1 = (1,1,...,1)^T
\u53ef\u5f97 A\u03b1 = a\u03b1
\u6240\u4ee5a\u662fA\u7684\u7279\u5f81\u503c, \u03b1\u662fA\u7684\u5c5e\u4e8e\u7279\u5f81\u503ca\u7684\u7279\u5f81\u5411\u91cf.
就是每行加起来等于0，他的含义是该矩阵具有零特征值，且其对应的特征向量的分量全为1
就是每行元素的和呗
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绛旓細鍥犱负 (A^T)^m = (A^m)^T 鎵浠ユ湁 (A^m)^T (1,1,...,1)^T = a^m (1,1,...,1)^T 鍗虫湁 A^m 鐨勬瘡鍒楀厓绱犱箣鍜屼负甯告暟 a^m.璁緉闃跺彲閫鐭╅樀A涓瘡琛屼箣鍜屽厓绱犱负甯告暟a,璇佹槑A^(-1)鐨勬瘡琛屽厓绱犱箣鍜涓篴^(-1)璇佹槑锛氫护鍒楀悜閲弜=锛1 1.1)^-1 鍒欑敱棰樻剰鍙煡Ax=锛坅 a.a)^...
