Let $\displaystyle M=\left( \begin{array}{ccc} 5 & 2 \\ -1 & 2 \end{array} \right)$.

Find formulas for the entries of $\displaystyle M^n$, where $\displaystyle n$ is a positive integer.

$\displaystyle M^n=\left( \begin{array}{ccc} ? & ? \\ ? & ? \end{array} \right)$.

I'm not sure how to go about this. Could someone give push me in the right direction?