(a) Construct 2 by 2 matrices such that the eigenvalues of AB are not the products of
Chapter 5, Problem 5.1.10(choose chapter or problem)
(a) Construct 2 by 2 matrices such that the eigenvalues of AB are not the products of the eigenvalues of A and B, and the eigenvalues of A+B are not the sums of the individual eigenvalues. (b) Verify, however, that the sum of the eigenvalues of A + B equals the sum of all the individual eigenvalues of A and B, and similarly for products. Why is this true?
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