互换行列式两行，行列式要变号，为什么互换矩阵 互换行列式的两行，行列式变号
\u4e92\u6362\u884c\u5217\u5f0f\u4e24\u884c\uff0c\u884c\u5217\u5f0f\u8981\u53d8\u53f7\uff0c\u4e3a\u4ec0\u4e48\u4e92\u6362\u77e9\u9635\u697c\u4e3b\u662f\u5bf9\u7684\u3002
\u4e92\u6362\u884c\u5217\u5f0f\u7684\u4efb\u610f\u4e24\u884c\uff08\u5217\uff09\uff0c\u884c\u5217\u5f0f\u53d8\u53f7\u3002\u8fd9\u4e2a\u662f\u884c\u5217\u5f0f\u7684\u6027\u8d28\u3002
\u4e24\u884c\uff08\u5217\uff09\u4e0d\u4e00\u5b9a\u662f\u76f8\u90bb\u7684\uff0c\u53ef\u4ee5\u76f8\u90bb\u4e5f\u53ef\u4ee5\u4e0d\u76f8\u90bb\u3002
\u7b2c1\u5217\u548c\u7b2cn\u5217\u4e92\u6362\uff0c\u76f4\u63a5\u4e3a-1\u3002
(-1)^\uff08n-1\uff09\u5e94\u8be5\u662f\u6307\u6362\u4e86n\u6b21\u4efb\u610f\u7684\u884c\u6216\u5217\u65f6\u6574\u4e2a\u884c\u5217\u5f0f\u7684\u7b26\u53f7\u3002
~\u5982\u679c\u60a8\u8ba4\u53ef\u6211\u7684\u56de\u7b54\uff0c\u8bf7\u53ca\u65f6\u70b9\u51fb\u3010\u91c7\u7eb3\u4e3a\u6ee1\u610f\u56de\u7b54\u3011\u6309\u94ae~
~\u624b\u673a\u63d0\u95ee\u8005\u5728\u5ba2\u6237\u7aef\u4e0a\u8bc4\u4ef7\u70b9\u201c\u6ee1\u610f\u201d\u5373\u53ef~~
~\u60a8\u7684\u91c7\u7eb3\u662f\u6211\u524d\u8fdb\u7684\u52a8\u529b~~~
~\u5982\u8fd8\u6709\u65b0\u7684\u95ee\u9898\uff0c\u8bf7\u53e6\u5916\u5411\u6211\u6c42\u52a9\uff0c\u7b54\u9898\u4e0d\u6613\uff0c\u656c\u8bf7\u8c05\u89e3~~
\u697c\u4e3b\u662f\u5bf9\u7684\u3002
\u4e92\u6362\u884c\u5217\u5f0f\u7684\u4efb\u610f\u4e24\u884c\uff08\u5217\uff09\uff0c\u884c\u5217\u5f0f\u53d8\u53f7\u3002\u8fd9\u4e2a\u662f\u884c\u5217\u5f0f\u7684\u6027\u8d28\u3002
\u4e24\u884c\uff08\u5217\uff09\u4e0d\u4e00\u5b9a\u662f\u76f8\u90bb\u7684\uff0c\u53ef\u4ee5\u76f8\u90bb\u4e5f\u53ef\u4ee5\u4e0d\u76f8\u90bb\u3002
\u7b2c1\u5217\u548c\u7b2cn\u5217\u4e92\u6362\uff0c\u76f4\u63a5\u4e3a-1\u3002
(-1)^\uff08n-1\uff09\u5e94\u8be5\u662f\u6307\u6362\u4e86n\u6b21\u4efb\u610f\u7684\u884c\u6216\u5217\u65f6\u6574\u4e2a\u884c\u5217\u5f0f\u7684\u7b26\u53f7\u3002
~\u5982\u679c\u60a8\u8ba4\u53ef\u6211\u7684\u56de\u7b54\uff0c\u8bf7\u53ca\u65f6\u70b9\u51fb\u3010\u91c7\u7eb3\u4e3a\u6ee1\u610f\u56de\u7b54\u3011\u6309\u94ae~
~\u624b\u673a\u63d0\u95ee\u8005\u5728\u5ba2\u6237\u7aef\u4e0a\u8bc4\u4ef7\u70b9\u201c\u6ee1\u610f\u201d\u5373\u53ef~~
~\u60a8\u7684\u91c7\u7eb3\u662f\u6211\u524d\u8fdb\u7684\u52a8\u529b~~~
~\u5982\u8fd8\u6709\u65b0\u7684\u95ee\u9898\uff0c\u8bf7\u53e6\u5916\u5411\u6211\u6c42\u52a9\uff0c\u7b54\u9898\u4e0d\u6613\uff0c\u656c\u8bf7\u8c05\u89e3~~
所以互换两行或两列
得到的结果需要变号
而矩阵表示的是一组数之间的关系
互换两行不会有影响
互换矩阵两行/列，又不列等式。
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