Given the homogeneous state-space equation \(\dot{x}=\left[\begin{array}{rr}-3 & 1 \\ 0 & -2\end{array}ight] x\). The steady state value of \(x_{s s}=\lim _{t ightarrow \infty} x(t)\), given the initial state value of \(x(0)=[10-10]^{t}\), \((t\) stands for transpose \()\) is
(a) \(x_{\mathrm{sS}}=\left[\begin{array}{l}0 \\ 0\end{array}ight]\)
(b) \(x_{\mathrm{ss}}=\left[\begin{array}{l}-3 \\ -2\end{array}ight]\)
(c) \(x_{\mathrm{ss}}=\left[\begin{array}{r}-10 \\ 10\end{array}ight]\)
(d) \(x_{\mathrm{ss}}=\left[\begin{array}{l}\infty \\ \infty\end{array}ight]\)