Two systems are defined by their state veritable equation in time domain dx(t)/dt = Ax(t) + Bu(t) as follows. If the gain equation in this are as given below, which of the following choices is correct?
\[\begin{array}{l} {\rm{A}} = \left[ {\begin{array}{*{20}{c}} { - 2}&1\\ 0&{ - 1} \end{array}} \right],\,{\rm{B}} = \left[ \begin{array}{l} 1\\ 0 \end{array} \right]{\rm{. }}{\rm{. }}{\rm{. }}{\rm{. Equation 1}}\\ {\rm{A}} = \left[ {\begin{array}{*{20}{c}} 0&1\\ { - 1}&0 \end{array}} \right],\,{\rm{B}} = \left[ \begin{array}{l} 0\\ 1 \end{array} \right]{\rm{. }}{\rm{. }}{\rm{. }}{\rm{. Equation 2}} \end{array}\]