The state transition matrix of a control system is\(\left[ {\begin{array}{*{20}{c}} {{e^{ - 4t}}}&{{e^{ - 6t}} - {e^{ - 2t}}}\\ {{e^{ - 8t}} - {e^{ - 5t}}}&{{e^{ - 0.5t}}} \end{array}} \right]\). The system matrix A is
1
\(\left[ {\begin{array}{*{20}{c}} {{{ - 4}}}&{{{ - 4}}}\\ {{{ - 3}} }&{{{ - 0.5}}} \end{array}} \right]\)
2
\(\left[ {\begin{array}{*{20}{c}} {{{ - 4}}}&{{{ - 8}}}\\ {{{ - 12}} }&{{{ - 0.5}}} \end{array}} \right]\)
3
\(\left[ {\begin{array}{*{20}{c}} {{{ - 1/4}}}&{{{ -1/ 4}}}\\ {{{ - 1/3}} }&{{{ - 2}}} \end{array}} \right]\)
4
\(\left[ {\begin{array}{*{20}{c}} {{{ - 1/4}}}&{{{ -1/ 8}}}\\ {{{ - 1/12}} }&{{{ - 2}}} \end{array}} \right]\)
5
None of the above mentioned