(5 points) A, P and D are n x n matrices. Check the true statements below:...

 

Transcribed Image Text:

(5 points) A, P and D are n x n matrices. Check the true statements below: A. If AP PD, with D diagonal, then the nonzero columns of P must be eigenvectors of A. B. Al is diagonalizable if A has n distinct eigenvectors. C. If A is invertible, then A is diagonalizable. D. If A is diagonalizable, then Al has n distinct eigenvalues. (5 points) A, P and D are n x n matrices. Check the true statements below: A. If AP PD, with D diagonal, then the nonzero columns of P must be eigenvectors of A. B. Al is diagonalizable if A has n distinct eigenvectors. C. If A is invertible, then A is diagonalizable. D. If A is diagonalizable, then Al has n distinct eigenvalues.