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Math Help - Jordan Canonical Form

  1. #1
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    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.
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  2. #2
    MHF Contributor FernandoRevilla's Avatar
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    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.
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