Question

Eigenvectors of this 3x3 matrix

Answer 1

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

Answer 2

did you get a characteristic polynomial yet?

Answer 3

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


\[\lambda = 5 \left(\begin{matrix}-1 \\ -2\\1\end{matrix}\right)\]

\[\lambda = -1,-1, \left(\begin{matrix}-2 \\ -1\\0\end{matrix}\right),\left(\begin{matrix}0 \\ 1\\2\end{matrix}\right)\]

Answer 4

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

Answer 5

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

Answer 6

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