$(1$ point$)$ Solve the system

$\frac{dx}{dt}=\left[\begin{array}{ccc}-2& -1& 2\end{array}\right]$

$5x$

with $x(0)=\left[\begin{array}{c}-3\end{array}\right]$

$3$

Give your solution in real form.

$x_1=$

$x_2=$

An ellipse with counterclockwise orientation

$1.$ Describe the trajectory.