3. Let A, P, D are n x n matrices. Mark each statement True or False. Justify each answer. a) A is diagonalizable if A = PDP-1 for some matrix D and some invertible matrix P. b) If R" has a basis of eigenvectors of A, then A is diagonalizable. c) A is diagonalizable if A has n eigenvectors.
3. Let A, P, D are n x n matrices. Mark each statement True or False. Justify each answer. a) A is diagonalizable if A = PDP-1 for some matrix D and some invertible matrix P. b) If R" has a basis of eigenvectors of A, then A is diagonalizable. c) A is diagonalizable if A has n eigenvectors.
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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