For two n × n matrices A and B, is it true that the eigenvalues of A + B are the sum of the eigenvalues of A and B, i.e., is λ(A + B) = λ(A) + λ(B)?

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.4: The Singular Value Decomposition
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. For two n × n matrices A and B, is it true that the eigenvalues of A + B are the sum of the eigenvalues of A and B, i.e., is λ(A + B) = λ(A) + λ(B)?

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