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?

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- January 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? - January 26th 2011, 05:11 AMAckbeet
So, if you could prove you'd be done, right? How could you do this?