Consider the matrix A=(1101)A = \begin{pmatrix} 1 & 1 \\ 0 & 1 \end{pmatrix}A=(1011). What is the matrix AkA^kAk for any integer k≥1k \geq 1k≥1?
(1k01)\begin{pmatrix} 1 & k \\ 0 & 1 \end{pmatrix}(10k1)
(1k201)\begin{pmatrix} 1 & k^2 \\ 0 & 1 \end{pmatrix}(10k21)
(kk0k)\begin{pmatrix} k & k \\ 0 & k \end{pmatrix}(k0kk)
(12k−101)\begin{pmatrix} 1 & 2^{k-1} \\ 0 & 1 \end{pmatrix}(102k−11)