Suppose that T: V -> V is a linear operator on a finite-dimensional vector space V. Lambda1, Lambda2,...,Lambdam are eigenvalues of T. Uk is the eigenspace of T with respect to Lambda k
Suppose dim(U1) dim(U2) dim(Um) dim(V). Show that there exists an isomorphism V W such that (T(v)) v (v)) for every v E V.
