Suppose that X is an eigenvector of a matrix A with corresponding eigenvalue 3. Then X is an eigenvector of A² + 3A + 2/, where I is the identity matrix. What is the corresponding eigenvalue?

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
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Chapter7: Eigenvalues And Eigenvectors
Section7.1: Eigenvalues And Eigenvectors
Problem 55E
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Suppose that X is an eigenvector of a matrix A with corresponding eigenvalue 3.
Then X is an eigenvector of A + 3A + 21, where I is the identity matrix. What
is the corresponding eigenvalue?
Transcribed Image Text:Suppose that X is an eigenvector of a matrix A with corresponding eigenvalue 3. Then X is an eigenvector of A + 3A + 21, where I is the identity matrix. What is the corresponding eigenvalue?
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