Let A and B be n n matrices. Prove that if AB = I then BA

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Let A and B be n × n matrices. Prove that if AB = I then BA = I. What is the significance of this result in terms of the definition of a nonsingular matrix?

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Linear Algebra with Applications

ISBN: 978-0131857858

7th edition

Authors: Steven J. Leon

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Question Posted: Jun 13, 2016 12:48 AM

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Let A and B be n n matrices. Prove that if AB = I then BA

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If AB I then detAB 1 and hence by Exercise 14 both A and ...View the full answer

Linear Algebra with Applications

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