For which 2 x 2 matrices A does there exist an invertible matrix S such that AS = SD, where D = [2 0 ; 0 3]. Give your answer in terms of the eigenvalues of A.
Attempt at a solution: Do I find the inverse of D and then find the eigenvalues of D?
For which 2 x 2 matrices A does there exist an invertible matrix S such that AS = SD, where D = [2 0 ; 0 3]. Give your answer in terms of the eigenvalues of A.
Attempt at a solution: Do I find the inverse of D and then find the eigenvalues of D?