Given A=(1101)A = \begin{pmatrix} 1 & 1 \\ 0 & 1 \end{pmatrix}A=(1011), what is the matrix AnA^nAn for any positive integer nnn?
(1n01)\begin{pmatrix} 1 & n \\ 0 & 1 \end{pmatrix}(10n1)
(1n201)\begin{pmatrix} 1 & n^2 \\ 0 & 1 \end{pmatrix}(10n21)
(nn0n)\begin{pmatrix} n & n \\ 0 & n \end{pmatrix}(n0nn)
(12n−101)\begin{pmatrix} 1 & 2^{n-1} \\ 0 & 1 \end{pmatrix}(102n−11)