(a) Construct 2 by 2 matrices such that the eigenvalues of A B 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 cigenvalues of A B equals the sum of all the individual cigenvalues of A and B, and similarly for products. Why is this true? | Numerade
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