The state equation of a linear system is given by \(\dot{x}=\mathrm{A} x+\mathrm{B} u\), where;

\[
A=\left[\begin{array}{rr}
0 & 2 \\
-2 & 0
\end{array}ight] \text { and } B=\left[\begin{array}{r}
0 \\
-1
\end{array}ight]
\]

The state transition matrix of the system is
(a) \(\left[\begin{array}{cc}e^{2 t} & 0 \\ 0 & e^{2 t}\end{array}ight]\)
(b) \(\left[\begin{array}{cc}e^{-2 t} & 0 \\ 0 & e^{2 t}\end{array}ight]\)
(c) \(\left[\begin{array}{cc}\sin 2 t & \cos 2 t \\ -\cos 2 t & \sin 2 t\end{array}ight]\)
(d) \(\left[\begin{array}{cc}\cos 2 t & \sin 2 t \\ -\sin 2 t & \cos 2 t\end{array}ight]\)