大一线性代数考试题 我不会做 高手 求你了?

2024年11月15日 00:32
有2个网友回答
网友(1):

这个选d
如果对角阵的 对角元含有0,哪么A一定不是可逆阵,排除A
如果对角阵中的对角元有相同的那么A的特征值也一定有相同的 。,排除B
C显然是错的 只有是合同才有这个结论

网友(2):

《线性代数及其应用 第三版》
中文版第281页
英文版第320页

定理5:(对角化定理)
n*n矩阵A可对角化的充分必要条件是A有n个线性无关的特征向量。

补充:A可对角化即A与某对角阵相似

得益望有该书电子版下载,有证明过程。

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