Given A=(1201)A = \begin{pmatrix} 1 & 2 \\ 0 & 1 \end{pmatrix}A=(1021), find AnA^nAn.
(12n01)\begin{pmatrix} 1 & 2n \\ 0 & 1 \end{pmatrix}(102n1)
(1n01)\begin{pmatrix} 1 & n \\ 0 & 1 \end{pmatrix}(10n1)
(12n01)\begin{pmatrix} 1 & 2^n \\ 0 & 1 \end{pmatrix}(102n1)
(1n201)\begin{pmatrix} 1 & n^2 \\ 0 & 1 \end{pmatrix}(10n21)