(a) Show that if a square matrix A satisfies the equation A2 + 2A + I = 0, then A must
Chapter 1, Problem 33(choose chapter or problem)
(a) Show that if a square matrix A satisfies the equation A2 + 2A + I = 0, then A must be invertible. What is the inverse? (b) Show that if p(x)is a polynomial with a nonzero constant term, and if A is a square matrix for which p(A) = 0, then A is invertible.
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