Let A be an n x n matrix and denote by || A||F the Frobenius norm of A. a) Show that ||A||F = ||U A||F for any orthogonal n x n matrix U. (Hint: multipli- cation by orthogonal matrices does not change vector 2-norms.) b) Show that ||4||F = transposing.) ||AV||F_for any orthogonal n x n matrix V. (Hint: use

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