Let A and B be nonsingular n × n matrices. Prove that AB and BA have the same eigenvalues.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter5: Orthogonality
Section5.3: The Gram-schmidt Process And The Qr Factorization
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Let A and B be nonsingular n × n matrices. Prove that AB and BA have the same eigenvalues.

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