Let A and B be square matrices of the same size with eigenvalues X and μ respectively. Give an example to show that X +μ need not be an eigenvalue of A + B. -
Let A and B be square matrices of the same size with eigenvalues X and μ respectively. Give an example to show that X +μ need not be an eigenvalue of A + B. -
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter7: Eigenvalues And Eigenvectors
Section7.1: Eigenvalues And Eigenvectors
Problem 55E
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![Let A and B be square matrices of the
same size with eigenvalues A and μ
respectively. Give an example to show that
A+μ need not be an eigenvalue of A + B.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F74b5cd48-9a88-4d64-9159-a921a634db47%2Faeca2365-a91a-459b-ba11-b45569c084c5%2Fsh6iiq_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Let A and B be square matrices of the
same size with eigenvalues A and μ
respectively. Give an example to show that
A+μ need not be an eigenvalue of A + B.
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