Chapter 6.3, Problem 12P

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 $t\to \infty$.

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