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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
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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Supppose A is an invertible n x n matrix and v 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
Transcribed Image Text:Supppose A is an invertible n x n matrix and v 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
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