Let a and B be invertible matrices of order n, and prove that (a *) * = | a | ^ n-2 · a

Let a and B be invertible matrices of order n, and prove that (a *) * = | a | ^ n-2 · a

Because a and B are invertible matrices of order n
So (a *) * = (|a ^ (- 1)) * = |a ^ ^ n-2 (a ^ (- 1)) * = |a ^ ^ n-1 (a *) ^ (- 1)
=|A|^n-1(|A|A^(-1))^(-1)=|A|^n-1A/ |A|=|A|^n-2·A