# Jordan Canonical Form

• Nov 29th 2011, 04:32 PM
dwsmith
Jordan Canonical Form
Characteristic $(\lambda-2)^3(\lambda-3)^2$

Minimal $(\lambda-2)^2(\lambda-3)$

Find all possible canonical forms.

$\begin{bmatrix} \begin{bmatrix}2&1\\0&2\end{bmatrix}& 0 & 0& 0\\0 & 2 & 0& 0\\0 & 0& 3 &0 \\0 &0 &0 & 3\end{bmatrix}$

To find them all would that be a permutation of the 4 possible blocks.
• Nov 29th 2011, 10:43 PM
FernandoRevilla
Re: Jordan Canonical Form
Your solution is right. Besides, the solution is unique (up to permutations of the blocks) . But these permutations do not add anything conceptual, correspond to adequate permutations of the elements of the Jordan's basis.