Cayley-Hamilton theorem

Let T be a linear operator on a finite-dimensional vector spaceMathworldPlanetmath V, and let c(t) be the characteristic polynomialMathworldPlanetmathPlanetmath of T. Then c(T)=T0, where T0 is the zero transformation. In other words, T satisfies its own characteristic equation.

Title Cayley-Hamilton theoremMathworldPlanetmath
Canonical name CayleyHamiltonTheorem
Date of creation 2013-03-22 12:17:43
Last modified on 2013-03-22 12:17:43
Owner akrowne (2)
Last modified by akrowne (2)
Numerical id 4
Author akrowne (2)
Entry type Theorem
Classification msc 15A15
Classification msc 15A18