Question: If A is an invertible matrix with SVD A = UVT, show that is invertible and that A-1 = V-1 UT is an SVD

If A is an invertible matrix with SVD A = UΣVT, show that Σ is invertible and that A-1 = VΣ-1 UT is an SVD of A-1.

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Since U and V are both orthogonal we know that U 1 U T and V 1 V T Then A UV T me... View full answer

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