The characteristic polynomial of an n x n matrix is the polynomial p(x) = det(A - I). (a) Find the characteristic polynomial p(x) = x² + c₁x + co for the matrix A = (b) With A as in the previous part, evaluate p(A). That is, what is A2 + c₁A+ Col₂ =? (co and c₁ are the same coefficients you found in part (a) as well.)

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