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Q5) Consider the following argument: let C Rnxn be such that CTC = CCT. Using the SVD we can write C = UEVT, and

Q5) Consider the following argument: let C Rnxn be such that CTC = CCT. Using the SVD we can write C = UEVT, and since CTC = CCT we see that VETUTUEVT UEVIVEUT and thus VTVT UETUT. Therefore UV and C is a symmetric matrix. Can you say something on the soundness of this argument with appropriate justifications? (2) = =

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