Let A be an n n matrix, and let q(A) be the matrix q(A) = anAn + an1An1 ++ a1A + a0In
Chapter 5, Problem 39(choose chapter or problem)
Let A be an n n matrix, and let q(A) be the matrix q(A) = anAn + an1An1 ++ a1A + a0In (a) Prove that if B = P 1 AP, then q(B) = P 1q(A)P. (b) Prove that if A is diagonalizable, then so is q(A).
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