Prove that if A is square, nonsingular, then the singular values of A-1 are the reciprocals of

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Prove that if A is square, nonsingular, then the singular values of A-1 are the reciprocals of the singular values of A. How are their condition numbers related?
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Applied Linear Algebra

ISBN: 978-0131473829

1st edition

Authors: Peter J. Olver, Cheri Shakiban

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