Thread: Don't understand this diagonalizable matrix problem?

To be honest it has been a while since I've taken Linear Algebra. I'm in my differential equations class and do not recall on how to do this problem.

Given: The diagonalizable matrix A. Show that the eigenvalues of A^2 are the
squares of the eigenvalues of A but that A and A^2 have the same eigenvectors.

Originally Posted by Reefer

Given: The diagonalizable matrix A. Show that the eigenvalues of A^2 are the squares of the eigenvalues of A but that A and A^2 have the same eigenvectors.

Hint If then,