矩阵某行或列乘k矩阵变不变? 矩阵某一列乘以非零常数k,结果为什么不变，刚可以看做是一个方...
\u77e9\u9635\u67d0\u884c\u6216\u5217\u4e58k\u77e9\u9635\u53d8\u4e0d\u53d8\u53ea\u8981k\u22601\uff0c\u5219\u77e9\u9635\u5fc5\u7136\u6539\u53d8\u3002
\u4e24\u4e2a\u77e9\u9635A=B\u7684\u5145\u8981\u6761\u4ef6\u662f\u201c\u77e9\u9635\u540c\u578b\u4e14\u5bf9\u5e94\u4f4d\u7f6e\u5143\u7d20\u76f8\u7b49\u201d\uff0c\u4f60\u628a\u67d0\u4e00\u884c\u3001\u5217\u4e58k\u540e\uff0c\u5143\u7d20\u80af\u5b9a\u53d1\u751f\u53d8\u5316\uff0c\u6240\u4ee5\u77e9\u9635\u5fc5\u7136\u6539\u53d8\u3002
\u8bbeA\u4e3am\u00d7n\u9636\u77e9\u9635\uff08\u5373m\u884cn\u5217\uff09\uff0c\u7b2ci \u884cj \u5217\u7684\u5143\u7d20\u662fa(i,j)\uff0c\u5373\uff1a
\u628am\u00d7n\u77e9\u9635A\u7684\u884c\u6362\u6210\u540c\u5e8f\u6570\u7684\u5217\u5f97\u5230\u4e00\u4e2an\u00d7m\u77e9\u9635\uff0c\u6b64\u77e9\u9635\u53eb\u505aA\u7684\u8f6c\u7f6e\u77e9\u9635\uff0c\u8bb0\u505aA^T\u3002\u4f8b\u5982\u77e9\u9635
\u7684\u8f6c\u7f6e\u77e9\u9635\u4e3a
\u6269\u5c55\u8d44\u6599\uff1a
\u6027\u8d28\uff1a
1\u3001\uff08A^T\uff09^T=A
2\u3001\uff08A+\uff09B^T=A^T+B^T
3\u3001\uff08kA\uff09^T=kA^T
4\u3001\uff08AB\uff09^T=B^TA^T
5\u3001\u8f6c\u7f6e\u77e9\u9635\u7684\u884c\u5217\u5f0f\u4e0d\u53d8\uff0c\u5c06\u77e9\u9635\u7684\u884c\u5217\u4e92\u6362\u5f97\u5230\u7684\u65b0\u77e9\u9635\u79f0\u4e3a\u8f6c\u7f6e\u77e9\u9635\uff0c\u8f6c\u7f6e\u77e9\u9635\u7684\u884c\u5217\u5f0f\u4e0d\u53d8\u3002
\u77e9\u9635\u67d0\u4e00\u5217\u4e58\u4ee5\u975e\u96f6\u5e38\u6570k,\u7ed3\u679c\u4e3a\u4ec0\u4e48\u4e0d\u53d8\uff0c
\u77e9\u9635\u5f53\u7136\u53d8\u4e86
\u884c\u5217\u5f0f\u53d8\u4e86 \uff0c\u5c31\u662f\u77e9\u9635\u7684\u79e9\u6ca1\u6709\u53d8
矩阵是变的，（不属于同一矩阵）这样属于等价变化。
矩阵的秩不变
矩阵会变的，只要你不是恒等操作。
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