Let A and B be symmetric n n matrices. For each of the following, determine whether the

Chapter 1, Problem 10

(choose chapter or problem)

Let A and B be symmetric n n matrices. For each of the following, determine whether the given matrix must be symmetric or could be nonsymmetric: (a) C = A + B (b) D = A2 (c) E = AB (d) F = ABA (e) G = AB + BA (f) H = AB BA 1

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