A singular value decomposition of a matrix A is as follows: -0.5 0.5 -0.5 0.5 25 0 -0.5 0.5 0.5 -0.5 0 20 0.5 0.5 -0.5 -0.5 0.5 0.5 0.5 0.5 A = (a) Find the closest (with respect to the Frobenius norm) matrix of rank 1 to A. A1 = -0.8 0.61 0 0 0.6 0.8 0 0 (a) Find the Frobenius norm of A - A1. ||A - A1 || p= (c) Find the rank of A rank(A) =

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