Suppose that A, P, and D are n x n matrices. Check the true statements below: A. A is diagonalizable if A has n distinct eigenvectors. | B. If AP = PD, with D diagonal and P invertible, then the nonzero columns of P must be eigenvectors of A. OC. If A is invertible, then A is diagonalizable. OD. If A is diagonalizable, then A has n distinct eigenvalues.
Suppose that A, P, and D are n x n matrices. Check the true statements below: A. A is diagonalizable if A has n distinct eigenvectors. | B. If AP = PD, with D diagonal and P invertible, then the nonzero columns of P must be eigenvectors of A. OC. If A is invertible, then A is diagonalizable. OD. If A is diagonalizable, then A has n distinct eigenvalues.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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
Transcribed Image Text:Suppose that A, P, and D are n x n matrices.
Check the true statements below:
A. A is diagonalizable if A has n distinct eigenvectors.
| B. If AP = PD, with D diagonal and P invertible, then the nonzero columns of P must be eigenvectors of A.
OC. If A is invertible, then A is diagonalizable.
OD. If A is diagonalizable, then A has n distinct eigenvalues.
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