Multiple choice

A linear system is described by the following state equation:

X(t) = AX (t) + BU (t), A =$\left[ \begin{array} \ 0 & 1 \\ -1 & 0 \end{array} \right]$

The state-transition matrix of the system is

  1. $\left[ \begin{array} \ cost & sint \\\\ -sint & cost \end{array} \right]$
  2. $\left[ \begin{array} \ -cost & sint \\\\ -sint & -cost \end{array} \right]$
  3. $\left[ \begin{array} \ -cost & -sint \\\\ -sint & cost \end{array} \right]$
  4. $\left[ \begin{array} \ cost & -sint \\\\ sint & cost \end{array} \right]$
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