Let A be an nxn matrix with characteristic polynomial f(t) = (-l)n t n + an-ir"- 1 + + a
Chapter 5, Problem 20(choose chapter or problem)
Let A be an nxn matrix with characteristic polynomial f(t) = (-l)n t n + an-ir"- 1 + + a ^ + a0. Prove that /(0) = an = det(A). Deduce that A is invertible if and only if a0 ^ 0.
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