Let A be an m ( n matrix. Prove that if AT A is nonsingular, then rank

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Let A be an m ( n matrix. Prove that if AT A is nonsingular, then rank A = n.

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Elementary Linear Algebra with Applications

ISBN: 978-0132296540

9th edition

Authors: Bernard Kolman, David Hill

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Question Posted: Jun 21, 2016 07:03 AM

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Let A be an m ( n matrix. Prove that if AT A is nonsingular, then rank

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Assume rank A n Then the columns of A are linearly dependent Hence ther...View the full answer

Elementary Linear Algebra with Applications

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