Chapter 6.3, Problem 9P

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 $t\to \infty$.

$\text{x'=}\left(\begin{array}{ccc}1& 1& 2\\ 0& 2& 2\\ -1& 1& 3\end{array}\right)\text{x,}\text{x}\left(0\right)=\left(\begin{array}{c}11\\ 1\\ 5\end{array}\right)$