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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

  1. $\begin{bmatrix}-30 \\-40\end{bmatrix}$
  2. $\begin{bmatrix}-20 \\-10\end{bmatrix}$
  3. $\begin{bmatrix}5\\-15\end{bmatrix}$
  4. $\begin{bmatrix}50 \\-35\end{bmatrix}$
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