Suppose that the n x n matrix A has the Singular Value Decomposition A = U S V. Show

Chapter 9, Problem 15

(choose chapter or problem)

Suppose that the n x n matrix A has the Singular Value Decomposition A = U S V. 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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