Let A be a 3 3 matrix with eigenvalues 2 5 1 Let A be a 3 t

Let A be a 3 × 3 matrix with eigenvalues 2, 5, ?1.

Let A be a 3 times 3 matrix with eigenvalues 2, 5, -1. Find eigenvalues of A^T. Find eigenvalues of A^-1. Find eigenvalues of 3A. Is A diagonalizable? Why?

Solution

Eigen values of A^T = engenvalues of A

Eigen values of A^T are 2,5,-1