Rational Canonical Form, an example

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In this video, I show how to compute the rational canonical form (RCF) for three matrices.
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4:44 why is the invariant x-2 and (x-1)(x-2)? Why isn't x-1 also an invariant factor

jplikesmaths
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how to search transformation matrix to RCF?

МаксимЗинченко-ын