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Let $A$ and $B$ be complex matrices of sizes $3\times5$ and $5\times3$ respectively, with $AB= \begin{bmatrix} 1 & 1 & 0\\ 0 & 1 & 0\\ 0 & 0 & -1 \end{bmatrix} $.

Find a Jordan form of $BA$.

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    What are your thoughts about the problem? – 2017-01-04
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    I am just thinking about how we can obtain BA from AB – 2017-01-04
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    Think to the nonzero eigenvalues of $BA$. – 2017-01-04
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    How can i find them ...cause I don't know the matrix – 2017-01-04
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    $AB$ and $BA$ have the same nonzero eigenvalues. – 2017-01-04
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    Super .then I can deal with it I think ...thanks a lot – 2017-01-04
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    How can i complete it ? – 2017-01-10

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