Let A and B be Hermitian matrices. Answer true or false for each of the statements that

Chapter 6, Problem 10

(choose chapter or problem)

Let A and B be Hermitian matrices. Answer true or false for each of the statements that follow. In each case, explain or prove your answer. (a) The eigenvalues of AB are all real. (b) The eigenvalues of ABA are all real. 1

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