True or false: (a) If is an eigenvalue of both A and B, then it is

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True or false:
(a) If λ is an eigenvalue of both A and B, then it is an eigenvalue of the sum A + B.
(b) If v is an eigenvector of both A and B. then it is an eigenvector of A + B.
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Applied Linear Algebra

ISBN: 978-0131473829

1st edition

Authors: Peter J. Olver, Cheri Shakiban

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