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Let A = UEV be the SVD of A and r be the rank of A. Then what is the SVD of: a) PR(UI) A

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Let A = UEV be the SVD of A and r be the rank of A. Then what is the SVD of: a) PR(UI) A ? b) PR(u1,..., ux.) A for k = 1, ..., r = ? c) PR(u1,. . .,up) A fork > r + 1 = ? d) APR(v1) = ? e) APR(U1,. ..,Uk) for k = 1, . .., r = ? f) PR(U1,. . .,uk) APR(v1,. . .,UK) for k = 1, . .., r = ? g) PR(U1,...,u;) APR(v1,. ..,VK) for j, k = 1, . .., r =

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