简单计算一下即可，答案如图所示
AA* = |A|E (A/|A|)A*=E 所以A*可逆,(A*)^-1 = A/|A| (A^-1)(A^-1)* = E/|A| 两边同时左乘A (A^-1)* = A/|A| = (A*)^-1
