행렬 $A= \left [\begin{matrix*}[r] 0.9 & 0.2 \\ 0.1 & 0.8 \end{matrix*} \right]$ 에 대해 $\displaystyle \lim _ {n \rightarrow \infty} {{A^k}}$ 를 구하면?

• ①$\displaystyle \frac{1} {6} \left [\begin{matrix*}[r] 0 & 0 \\ 1 & 2 \end{matrix*} \right]$
• ②$\displaystyle \frac{1} {5} \left [\begin{matrix*}[r] 2 & 1 \\ 1 & 2 \end{matrix*} \right]$
• ③$\displaystyle \frac{1} {4} \left [\begin{matrix*}[r] 1 & 0 \\ 2 & 0 \end{matrix*} \right]$
• ④$\displaystyle \frac{1} {3} \left [\begin{matrix*}[r] 2 & 2 \\ 1 & 1 \end{matrix*} \right]$
• ⑤$\displaystyle \frac{1} {2} \left [\begin{matrix*}[r] 0 & 1 \\ 0 & 2 \end{matrix*} \right]$