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- Let : - A be an (mn) matrix with rank r, - A=U.S.V be the singular value decomposition. - Where U is an (mr)

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- Let : - A be an (mn) matrix with rank r, - A=U.S.V be the singular value decomposition. - Where U is an (mr) column - orthonormal matrix - S is a diagonal (rxr) matrix, - and V is an (rx) row-orthonormal matrix. Prove that V=S1UTA

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