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lang=EN-US>4A||B|=-6

(3) |(AB-1|=|AB-1=-1/6

 已知APPB,其中,求矩阵AA5

4.  ,求其逆矩阵。

解:

四、证明题:

1.  设方阵A满足A2A2E0,证明:AA2E都可逆。

2.  An阶可逆矩阵(n2),证明:(A*)*=|A| n-2 A

    

3.  An阶方阵,且A 2 = A,证明:r (A) +  r (AE) = n