The dynamics of the state $\begin{bmatrix}x{_1} \\x{_2}\end{bmatrix}$ of a sytem is governed by the differential equation $\begin{bmatrix}x{_1} \\x{_2}\end{bmatrix}$ = $\begin{bmatrix}1 & 2 \\-3 & -4\end{bmatrix}$$\begin{bmatrix}x{_1} \\x{_2}\end{bmatrix}$ + $\begin{bmatrix}20 \\10\end{bmatrix}$.
Given that the initial state is $\begin{bmatrix}0 \\0\end{bmatrix}$, the steady state value of $\begin{bmatrix}x{_1} \\x{_2}\end{bmatrix}$ is
- $\begin{bmatrix}-30 \\-40\end{bmatrix}$
- $\begin{bmatrix}-20 \\-10\end{bmatrix}$
- $\begin{bmatrix}5\\-15\end{bmatrix}$
- $\begin{bmatrix}50 \\-35\end{bmatrix}$