Problem 3. (a) e (c) Let A be an n x n matrix with characteristic polynomial: f(t) = (-1)" t" + an-₁t"-1 + a₁-2t"-1. ++at+ao Which terms of f(t) represent det(4)? If A is invertible, prove that A¹ = (-1/a₁)[(-1)" A"-¹ + a₁-₁4"-² + a₁_₂t²−¹ + ... + a₁I₂] 1 3 0 0 -1 1 2 Calculate A¹ for A = 0 2 by using (b).

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