Say that for two mxm matrices, they have equivalent eigenvalues(adsbygoogle = window.adsbygoogle || []).push({});

If this is the case, is it safe to assume that the Jordan forms of both matrices will be the same ?

My reasoning comes from the fact that a general jordan block is represented

by the following matrix

λ 1 0 0

0 λ 1 0

0 0 λ 1

0 0 0 λ

and so on for an mxm matrix

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# Same eigenvalues = same jordan form ?

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