Hi all,

I am having trouble of with this problem. I think it isn't too difficult, but I am getting stuck. Any thoughts?

Let  v \in V be an eigenvector of T with corresponding eigenvalue  \lambda . Let  w \in V^{*} be an eigenvector of the adjoint T^{*} with eigenvalue  \lambda ^{*} \neq \lambda .

Prove that (v,w^{*}) = 0