Question

Question 1 (20 Points): Find the solution to the given system that satisfies the given initial conditions: \mathbf{x}^{\prime}(t)=\left[\begin{array}{cc}

-3 & -1 \\

2 & -1

\end{array}\right] \mathbf{x}(t), \quad \mathbf{x}(0)=\left[\begin{array}{c}

-1 \\

0

\end{array}\right]

Fig: 1

Fig: 2