Let A=(1101)A = \begin{pmatrix} 1 & 1 \\ 0 & 1 \end{pmatrix}A=(1011). What is the matrix AnA^nAn for any integer n≥1n \geq 1n≥1?
(1n01)\begin{pmatrix} 1 & n \\ 0 & 1 \end{pmatrix}(10n1)
(n10n)\begin{pmatrix} n & 1 \\ 0 & n \end{pmatrix}(n01n)
(1n201)\begin{pmatrix} 1 & n^2 \\ 0 & 1 \end{pmatrix}(10n21)
(12n01)\begin{pmatrix} 1 & 2^n \\ 0 & 1 \end{pmatrix}(102n1)