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Let A E Mnxn (R), show that it is possible to express A as the product, A = PQ where P, Q E Mnxn (R),

Let A E Mnxn (R), show that it is possible to express A as the product, A = PQ where P, Q E Mnxn (R), and P is positive semi-definite and Q is orthogonal. Hint: start with an SVD of A

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