Find the eigenvalues of A and B and AB and BA: A = [~ ~] and B = [6 ~] and AB = [~ ;]

Chapter 6, Problem 6

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Find the eigenvalues of A and B and AB and BA: A = [~ ~] and B = [6 ~] and AB = [~ ;] and BA = [~ ~ l (a) Are the eigenvalues of AB equal to eigenvalues of A times eigenvalues of B? (b) Are the eigenvalues of AB equal to the eigenvalues of BA?

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