# I need help with the second part of this problem.

• Dec 11th 2007, 02:27 PM
Ral
I need help with the second part of this problem.
http://img409.imageshack.us/img409/2644/matrixnh4.jpg
A.) Determine the characteristic polynomial and characteristic roots of A.

For this, I got $X^2-6X+8$ and Roots: X=4 and X=2

I'm not sure what to do for the next part.
B.) Find a nonsingular matrix P and diagonal matrix D such that $P^{-1}*AP= D$.
• Dec 12th 2007, 03:23 AM
D = $\begin {pmatrix} 2 & 0 \\ 0 & 4\end{pmatrix}$ or $\begin {pmatrix} 4 & 0 \\ 0 & 2\end{pmatrix}$