Eigenvectors of this 3x3 matrix

Question

anonymous · Answer

$$\left[\begin{matrix}0 & 2 &-1\ 2 &3 &-2 \-1&-2&1\end{matrix}\right]$$

turingtest · Answer

did you get a characteristic polynomial yet?

anonymous · Answer

yep ive done it all but when i check iits wrong!! i have looked at this for over 30 mins!!! i write what i get 


$$\lambda = 5   \left(\begin{matrix}-1 \ -2\1\end{matrix}\right)$$

$$\lambda = -1,-1,    \left(\begin{matrix}-2 \ -1\0\end{matrix}\right),\left(\begin{matrix}0 \ 1\2\end{matrix}\right)$$

anonymous · Answer

sorry second matrix does not begin with -2 its 2
so 
2
-1
0

anonymous · Answer

i have looked at my working out there is nothing wrong with it, but when i check with mathematica its wrong...

anonymous · Answer

no worries its correct, just check i wrote it wrong in matlab...