Let A and B be an n x n matrices. (a) (b) (c) BA. State the definition of an eigenvector of an n x n matrix A. Show that if X is an eigenvalue of A, then X²-3X+2 is an eigenvalue of A²-3A+21. Show that if v is an eigenvector of AB and Bv ‡ 0, then Bu is an eigenvector of

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