A singular value decomposition of a matrix A is as follows: -0.5 0.5 -0.57 [10 07 -0.5 0.5 0.5 0 5 0.6 0.8 0.5 0.5 0 0 0.8 -0.6 0.5 0.5 -0.5 A = 0.5 -0.5 A1 = 0.5 -0.5 5/10 (a) Find the closest (with respect to the Frobenius norm) matrix of rank 1 to A. 0.5 (a) Find the Frobenius norm of A - A1. ||A - A1|| F = (c) Find the rank of A rank(A) =

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