a. Explain how any square matrix A can he written asA = QS.where Q is orthogonal and S

Chapter 8, Problem 20

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a. Explain how any square matrix A can he written asA = QS.where Q is orthogonal and S is symmetric positive semidefinite. This is called the polar decomposition of A. {Hint'. Write/I = UY.VT = UVTVLV'.) b. Is it possible to write A = S\ Q\, where Q\ is orthogonal and 51 is symmetric positive semidefinite?

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