Suppose that a 4 x 4 matrix A has eigenvalues A₁ = 1, A₂=-2, A3=5, and A4 =-5. Use the following method to find tr(A). If A is a square matrix and p() = det (AI - A) is the characteristic polynomial of A, then the coefficient of An-1 in p() is the negative of the trace of A. tr(A) - i

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