The transfer function of the system \(\frac{{Y\left( s \right)}}{{U\left( s \right)}}\) whose state-space equations are given below is:\(\left[ {\begin{array}{*{20}{c}}{{{\dot x}_1}\left( t \right)}\\{{{\dot x}_2}\left( t \right)}\end{array}} \right] = \left[ {\begin{array}{*{20}{c}}1&2\\2&0\end{array}} \right]\left[ {\begin{array}{*{20}{c}}{{x_1}\left( t \right)}\\{{x_2}\left( t \right)}\end{array}} \right] + \left[ {\begin{array}{*{20}{c}}1\\2\end{array}} \right]u\left( t \right)\)\(y\left( t \right) = \left[ {\begin{array}{*{20}{c}}1&0\end{array}} \right]\left[ {\begin{array}{*{20}{c}}{{x_1}\left( t \right)}\\{{x_2}\left( t \right)}\end{array}} \right]\)

• A. \(\frac{{\left( {s + 2} \right)}}{{\left( {{s^2} - 2s - 2} \right)}}\)
• B. \(\frac{{\left( {s - 2} \right)}}{{\left( {{s^2} + s - 4} \right)}}\)
• C. \(\frac{{\left( {s - 4} \right)}}{{\left( {{s^2} + s - 4} \right)}}\)
• D. \(\frac{{\left( {s + 4} \right)}}{{\left( {{s^2} - s - 4} \right)}}\)