Chapter 5, Supplementary Exercises, Question 16a Suppose that a 4 x 4 matrix A has eigenvalues A, = 1, 12 = - 3, 13 = 5, and A4 = - 5. Use the following method to find det (A). If P(A) = det (AI - A) = ^^ + c¿A" - + ... + Cn So, on setting A = 0, we obtain that det (- A) = c, or det (A) = (- 1)"cn det (A) =

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