Question: 22. For the matrices A and B in Prob. 19, show that (1) the characteristic roots of AB are real, (2) the roots of |A

22. For the matrices A and B in Prob. 19, show that

(1) the characteristic roots of AB are real,

(2) the roots of |A - AB| = 0 are real.

This illustrates Theorem 12.2.11.

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