$X=\begin {bmatrix} 3 & -4 \\ 1 & -1 \end{bmatrix}$;$X^n$ is equal to :

Question

\[\begin {array} {1 1}(a)\;\begin {bmatrix} 3n & -4n \\ n & -n \end{bmatrix} \quad (b)\;\begin {bmatrix} 2+n & 5-n \\ n & -n \end{bmatrix} \\ (c)\;\begin {bmatrix} 3n & (-4)^n \\ n & (-1)^n \end{bmatrix} \quad (d)\;none\;of\;these \end{array}\]