(a) Prove that if A is a square matrix, then A and AT have the same eigenvalues...

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(a) Prove that if A is a square matrix, then A and AT have the same eigenvalues
(b) Show that A and AT need not have the same eigenspaces.

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Elementary Linear Algebra with Applications

ISBN: 978-0471669593

9th edition

Authors: Howard Anton, Chris Rorres

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Question Posted: Jun 17, 2016 08:09 AM

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(a) Prove that if A is a square matrix, then A and AT have the same eigenvalues...

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a For any square matrix B we know that detB detB T Thus detI A detI A T detI T A T ...View the full answer

Elementary Linear Algebra with Applications

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