Given A=(1101)A = \begin{pmatrix} 1 & 1 \\ 0 & 1 \end{pmatrix}A=(1011), find limn→∞An\lim_{n \to \infty} A^nlimn→∞An.
Does not exist
(1001)\begin{pmatrix} 1 & 0 \\ 0 & 1 \end{pmatrix}(1001)
(0000)\begin{pmatrix} 0 & 0 \\ 0 & 0 \end{pmatrix}(0000)
(1∞01)\begin{pmatrix} 1 & \infty \\ 0 & 1 \end{pmatrix}(10∞1)