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Supppose A is an invertible n x n matrix and v is an eigenvector of A with associated eigenvalue -2. Convince yourself that v is an eigenvector of the following matrices, and find the associated eigenvalues: 1. A, eigenvalue = 2 A¹, eigenvalue 3. A +61, eigenvalue= 4. 9A, eigenvalue=

Supppose A is an invertible n x n matrix and v is an eigenvector of A with associated eigenvalue -2. Convince yourself that v is an eigenvector of the following matrices, and find the associated eigenvalues: 1. A, eigenvalue = 2 A¹, eigenvalue 3. A +61, eigenvalue= 4. 9A, 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 - 2. Convince yourself that v is an eigenvector of the following matrices, and find the associated eigenvalues: 1. A, eigenvalue = 2. A¹, eigenvalue 3. A+ 6In, eigenvalue = 4. 9A, eigenvalue= =
Transcribed Image Text:Supppose A is an invertible n x n matrix and v is an eigenvector of A with associated eigenvalue - 2. Convince yourself that v is an eigenvector of the following matrices, and find the associated eigenvalues: 1. A, eigenvalue = 2. A¹, eigenvalue 3. A+ 6In, eigenvalue = 4. 9A, eigenvalue= =
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