Suppose that the n n matrix A has the singular value decomposition A = U SVt.

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Suppose that the n × n matrix A has the singular value decomposition A = U SVt. Show that A−1 exists if and only if S−1 exists and find a singular value decomposition for A−1 when it exists.
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Numerical Analysis

ISBN: 978-0538733519

9th edition

Authors: Richard L. Burden, J. Douglas Faires

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