Consider the state-space representation of a system
\[
\dot{x}=A x+B u
\]
where $x$ is the state vector, $u$ is the input, $A$ is the system matrix and $B$ is the input matrix. Choose the matrix $A$ from the following options such that the system has a pole at the origin.
$\left[\begin{array}{rr}0 & 1 \\ -2 & -3\end{array}\right]$
$\left[\begin{array}{cc}1 & -1.5 \\ -2 & 3\end{array}\right]$
$\left[\begin{array}{cc}1 & 1.5 \\ 2 & -3\end{array}\right]$
$\left[\begin{array}{rr}0 & 1 \\ -2 & 3\end{array}\right]$