My question is from Matrices grade 12 ... no links please 


$\mathit{Q}\mathbf{.}\mathbf{ } If a \ne 0 and A = \left[\begin{array}{cc}a& 1\\ 0& a\end{array}\right], then prove A^n = \left[\begin{array}{cc}{a}^n& n{a}^{n-1}\\ 0& a^n\end{array}\right] n \in N.$