Consider the matrix [2 3 A = (a) Find the Singular Value Decomposition (*SVD") of A. (Remember that the singular values must be listed in decreasing order in E.) (b) Assume that B is an n x n real matrix and its SVD is B = UEV*. Prove that VEV* is the square root of B*B. (Hint: compare B*B with (VEV*)².) (c) Using B = U£V* in part (b), Set S = (you do not have to prove these 2 facts). Use this and your SVD in part (a) to find the Polar Decomposition of A. UV*; we see that S is an isometry and VDV* is positive

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