设A是3阶矩阵 若满足等式2A(A-I)=A^2 则(A-I)^-1=

问题描述:

设A是3阶矩阵 若满足等式2A(A-I)=A^2 则(A-I)^-1=

由已知 A^2 - 2A = 0
所以 (A-I)^2 = I
所以 (A-I)^-1 = A-I