I have to prove the following result:(adsbygoogle = window.adsbygoogle || []).push({});

Let A,B be two n×n matrices over the field F and A,B have the same characteristic and minimal polynomials. If no eigenvalue has algebraic multiplicity greater than 3, then A and B are similar.

I have to use the following result:

If A,B are two 3×3 nilpotent matrices, then A,B are similar if and only if they have same minimal polynomial.

Please suggest how to proceed.

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# Jordan Canonical Form

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