# Math Help - proving eigenvectors

1. ## proving eigenvectors

Assume T: V -> V and has eigenvector x belonging to an eigenvalue lambda. Prove x is an eigenvector of T^2 belonging to lambda^2.

How should I start this?

2. So, if you could prove $T^{2}x=\lambda^{2}x,$ you'd be done, right? How could you do this?