Let A and f(t) be as in Exercise 20. (a) Prove that/( 0 = (An-t)(A22-t) (Ann-t) + q(t)
Chapter 5, Problem 21(choose chapter or problem)
Let A and f(t) be as in Exercise 20. (a) Prove that/( 0 = (An-t)(A22-t) (Ann-t) + q(t), where q(t) is a polynomial of degree at most n 2. Hint: Apply mathematical induction to n. (b) Show that tr(A) = (-l) n - 1 a n _ i.
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