Chapter 6.3, Problem 11P

In each of problems $9$ through $12$, solve the given initial value problem and plot the graph of the solution in ${\text{R}}^{\text{3}}$. Describe the behavior of the solution as $t\to \infty$.

$\text{x}\text{'}=\left(\begin{array}{ccc}-1& 0& 3\\ 0& -2& 0\\ 3& 0& -1\end{array}\right)\text{x,}\text{x}\left(0\right)=\left(\begin{array}{c}2\\ -1\\ -2\end{array}\right)$