# Cayley-Hamilton theorem

Let $T$ be a linear operator on a finite-dimensional vector space $V$, and let $c(t)$ be the characteristic polynomial of $T$. Then $c(T)=T_{0}$, where $T_{0}$ is the zero transformation. In other words, $T$ satisfies its own characteristic equation.

Title Cayley-Hamilton theorem CayleyHamiltonTheorem 2013-03-22 12:17:43 2013-03-22 12:17:43 akrowne (2) akrowne (2) 4 akrowne (2) Theorem msc 15A15 msc 15A18