If is an invertible (square) matrix with singular value decomposition , then a singular value decomposition for is given by .

Name: If is an invertible (square) matrix with singular value decomposition , then a singular value decomposition for is given by .
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Question

If  is an invertible (square) matrix with singular value decomposition  , then a singular value decomposition for  is given by  .

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The Answer of If  is an invertible (square) matrix with singular value decomposition  , then a singular value decomposition for  is given by  .

If Is an Invertible (Square) Matrix with Singular Value