- #1
springo
- 126
- 0
Homework Statement
I need to find a Jordan decomposition for:
[tex]\[ \left( \begin{array}{cccc}
2 & 0 & 1 & 2 \\
-1 & 3 & 0 & -1 \\
2 & -2 & 4 & 6 \\
-1 & 1 & -1 & -1 \end{array} \right)\][/tex]
Homework Equations
The Attempt at a Solution
I found the eigenvalues: 2 (m=4).
I also found the eigenvectors:
[tex]\[ \left( \begin{array}{c}1 & 1 & 0 & 0\end{array} \right)\]\[ \left( \begin{array}{c}-1 & 0 & -2 & 1\end{array} \right)\][/tex]
But then I see that (A-2I)2 = 0.
So how do I continue?
Thanks a lot.