Given \(A = \left[ {\begin{array}{*{20}{c}} 1&0\\ 0&1 \end{array}} \right],\) the state transition matrix eAT of the system is given by
1
\(\left[ {\begin{array}{*{20}{c}} {{e^{ - t}}}&0\\ 0&{{e^{ - t}}} \end{array}} \right]\)
2
\(\left[ {\begin{array}{*{20}{c}} {{e^t}}&0\\ 0&{{e^t}} \end{array}} \right]\)
3
\(\left[ {\begin{array}{*{20}{c}} 0&{{e^t}}\\ {{e^t}}&0 \end{array}} \right]\)
4
\(\left[ {\begin{array}{*{20}{c}} 0&{{e^{ - t}}}\\ {{e^{ - t}}}&0 \end{array}} \right]\)