Prove that if is an eigenvalue of A with multiplicity k, then etA is an eigenvalue

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Prove that if λ is an eigenvalue of A with multiplicity k, then etA is an eigenvalue of etA with the same multiplicity. Combine the Jordan canonical form (8.51) with Exercises 9.4.17. 28.

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Applied Linear Algebra

ISBN: 978-0131473829

1st edition

Authors: Peter J. Olver, Cheri Shakiban

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Question Posted: Jun 18, 2016 08:52 AM

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Prove that if is an eigenvalue of A with multiplicity k, then etA is an eigenvalue

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If J is a Jordan matrix then by the arguments in Exercise 9428 e tJ is upper triangular wit...View the full answer

Applied Linear Algebra

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