The second order dynamic system\(\frac{{dx}}{{dt}} = Px + Qu\)y = Rxhas the matrices, P, Q and R as follows:\(P = \left[ {\begin{array}{*{20}{c}}{ - 1}&1\\0&{ - 3}\end{array}} \right]\;Q = \left[ {\begin{array}{*{20}{c}}0\\1\end{array}} \right]\;R = \left[ {0\;1} \right]\)The system has the following controllability and observability properties:

• A. Controllable and observable
• B. Not controllable but observable
• C. Controllable but not observable
• D. Not controllable and not observable