Let A, P, and D ben x n matrices. Which of the following statements is true? O d)A is diagonalizable if and only if A has n eigenvalues, counting multiplicities O b, c and d O e)A is diagonalizable if A has n eigenvectors O a. b and c Ocd and e O clf R has a basis of eigenvectors o A, then A is diagonalizable. O a)lf A has n linearly independent eigenvectors, then so does AT Ob) If AP= PD, with D diagonal, then the nonzero columns of P must be eigenvectors of A Ob and c

Let A, P, and D ben x n matrices. Which of the following statements is true? O d)A is diagonalizable if and only if A has n eigenvalues, counting multiplicities O b, c and d O e)A is diagonalizable if A has n eigenvectors O a. b and c Ocd and e O clf R has a basis of eigenvectors o A, then A is diagonalizable. O a)lf A has n linearly independent eigenvectors, then so does AT Ob) If AP= PD, with D diagonal, then the nonzero columns of P must be eigenvectors of A Ob and c

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter4: Eigenvalues And Eigenvectors

Section: Chapter Questions

Problem 1RQ

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