The dynamics of the state \(\left[ {\begin{array}{*{20}{c}}{{x_1}}\\{{x_2}}\end{array}} \right]\) of the system is governed by the differential equation \(\left[ {\begin{array}{*{20}{c}}{{x_1}}\\{{x_2}}\end{array}} \right] = \left[ {\begin{array}{*{20}{c}}1&2\\{ - 3}&{ - 4}\end{array}} \right]\left[ {\begin{array}{*{20}{c}}{{x_1}}\\{{x_2}}\end{array}} \right] + \left[ {\begin{array}{*{20}{c}}{20}\\{10}\end{array}} \right]\) Given that the initial state is \(\left[ {\begin{array}{*{20}{c}}0\\0\end{array}} \right]\), the steady value of \(\left[ {\begin{array}{*{20}{c}}{{x_1}}\\{{x_2}}\end{array}} \right]\) is

• A. \(\left[ {\begin{array}{*{20}{c}}{ - 30}\\{ - 40}\end{array}} \right]\)
• B. \(\left[ {\begin{array}{*{20}{c}}{ - 20}\\{ - 10}\end{array}} \right]\)
• C. \(\left[ {\begin{array}{*{20}{c}}5\\{ - 15}\end{array}} \right]\)
• D. \(\left[ {\begin{array}{*{20}{c}}{50}\\{ - 35}\end{array}} \right]\)