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?

Printable View

- Jan 26th 2011, 04:24 AMhashshashin715proving 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? - Jan 26th 2011, 05:11 AMAckbeet
So, if you could prove $\displaystyle T^{2}x=\lambda^{2}x,$ you'd be done, right? How could you do this?