Let C be a nonsymmetric n n matrix. For each of the following, determine whether the

Chapter 1, Problem 11

(choose chapter or problem)

Let C be a nonsymmetric n n matrix. For each of the following, determine whether the given matrix must be symmetric or could be nonsymmetric: (a) A = C + CT (b) B = C CT (c) D = CTC (d) E = CTC CCT (e) F = (I + C)(I + CT ) (f) G = (I + C)(I CT ) 1

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