(a) If A = [g ~] then the determinant of A - AI is (A - a)(A - d). Check the
Chapter 6, Problem 31(choose chapter or problem)
(a) If A = [g ~] then the determinant of A - AI is (A - a)(A - d). Check the "Cayley-Hamilton Theorem" that (A - aI)(A - dI) = zero matrix. (b) Test the Cayley-Hamilton Theorem on Fibonacci's A = U A], The theorem predicts that A2 - A - I = 0, since the polynomial det(A - AI) is A 2 - A-I.
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