Hi,

I want to show that a matrixHthat has an eigenvalue t can be used to show that the matrix $\displaystyle \textbf{H}^n$ would have an eigenvalue of $\displaystyle t^n$.

The formal way of doing this i would guess to be mathematical induction, though how would i do the inductive step? (As i couldn't take the determinant of the whole thing)

thanks