Cayley-Hamilton/Fact

The Theorem of Cayley-Hamilton

Let ${}V$ be a finite-dimensional vector space over a field ${}K$, and let

$f\colon V\longrightarrow V$

denote a linear mapping.

Then the

characteristic polynomial of ${}f$ fulfills the relation

${}\chi _{f}(f)=0\,.$

Proof, Write another proof