$x (t)$ 를 연립 미분방정식 $x ' (t) = \left [\begin{matrix*}[r] -2 & 2 \\ 1 & -1 \end{matrix*} \right] x (t), x (0) = \left [\begin{matrix*}[r] 1 \\ 0 \end{matrix*} \right]$ 의 해라고 할 때, $\displaystyle \lim _ {t \rightarrow \infty} {x (t)}$ 는?

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