Which of the following statements are correct? a) A square matrix A is not invertible if and only if A = 0 is an eigenvalue of A. b) If v1 and v2 are linearly independent eigenvectors of a matrix A, then they correspond to different eigenvalues. c) If a square matrix A is triangular, then the eigenvalues of A are the entries on its main diagonal. -4 d) A= 5 is an eigenvalue of A = 8

Which of the following statements are correct? a) A square matrix A is not invertible if and only if A = 0 is an eigenvalue of A. b) If v1 and v2 are linearly independent eigenvectors of a matrix A, then they correspond to different eigenvalues. c) If a square matrix A is triangular, then the eigenvalues of A are the entries on its main diagonal. -4 d) A= 5 is an eigenvalue of A = 8

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter4: Eigenvalues And Eigenvectors

Section4.1: Introduction To Eigenvalues And Eigenvectors

Problem 36EQ: Consider again the matrix A in Exercise 35. Give conditions on a, b, c, and d such that A has two...

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