Supppose A is an invertible n x n matrix and is an eigenvector of A with associated eigenvalue -4. Convince yourself that vis an eigenvector of the following matrices, and find the associated eigenvalues. a. The matrix A7 has an eigenvalue b. The matrix A-1 has an eigenvalue c. The matrix A + 51, has an eigenvalue d. The matrix -9A has an eigenvalue

Supppose A is an invertible n x n matrix and is an eigenvector of A with associated eigenvalue -4. Convince yourself that vis an eigenvector of the following matrices, and find the associated eigenvalues. a. The matrix A7 has an eigenvalue b. The matrix A-1 has an eigenvalue c. The matrix A + 51, has an eigenvalue d. The matrix -9A has an eigenvalue

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter4: Eigenvalues And Eigenvectors

Section4.3: Eigenvalues And Eigenvectors Of N X N Matrices

Problem 41EQ

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