Let A be a real 5 x 5 matrix, and assume that A has eigenvalues i, -

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Let A be a real 5 x 5 matrix, and assume that A has eigenvalues i, - i, -2, - 1 (and no others). Is the zero solution to the linear system u = A u necessarily stable? Explain. Does your answer change if A is 6 x 6?

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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 17, 2016 09:16 AM

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Let A be a real 5 x 5 matrix, and assume that A has eigenvalues i, -

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The system is stable since i must be simple eigenvalues Indeed any 5 5 mat...View the full answer

Applied Linear Algebra

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