The eigenvalues of adjoint matrix A * are 1,2,4,8. Find the eigenvalues of (1 / 3a) ^ - 1

The eigenvalues of adjoint matrix A * are 1,2,4,8. Find the eigenvalues of (1 / 3a) ^ - 1

The eigenvalues of the adjoint matrix A * are 1,2,4,8. Find the eigenvalues of (1 / 3a) ^ - 1. For the fourth-order square matrix, the adjoint matrix A * = |a ^ (- 1), mark its eigenvalues with the sign K, corresponding to the eigenvector D. It is easy to see that |a * | = 1.2.4.8, and |a * | = |a ^ (4-1), so |a ^ = 4, so there is a * d = Kd = |a ^ (- 1