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 February 24th, 2010, 11:26 PM #1 Senior Member   Joined: Nov 2009 Posts: 169 Thanks: 0 one prove question Let A be an nxn matrix with characteristic polynomial $f(\lambda)= \lambda^n + a_{n-1}\lambda^{n-1}+...+ a_1\lambda +a_0$ Prove that $a_0= (-1)^ndetA$
 February 25th, 2010, 02:16 AM #2 Senior Member   Joined: Feb 2009 From: Adelaide, Australia Posts: 1,519 Thanks: 3 Re: one prove question Hint: $f(\lambda)=\det(\lambda I - A)$ and $f(0)=a_0$.

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