Let $A$ be an invertible matrix, and let $A = W\Sigma V^*$ be its singular value decomposition. Find a singular value decomposition for $A^*$ and $A^{-1}$.
May I please have help with this question?
Let A be an invertible matrix and let A = WΣV*
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linear-algebra
svd
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0Just invert / transpose the expression $W \Sigma V^*$. – 2017-02-21
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0I just realized this right before you commented! Thanks :) – 2017-02-21
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0How do we know the singular values of $A$ are going to be the singular values of $A^*$ and of $A^{-1}$? – 2018-04-15