Chapter 6.7, Problem 11P

In each of Problems 11and12, find the solution of the given initial value problem. Draw the corresponding trajectory in $x_1{x}_2{x}_3$-space and also draw the graph of $x_1$ versus $t$.

$x\text{'}=\left(\begin{array}{ccc}4& 1& 3\\ 6& 4& 6\\ -5& -2& -4\end{array}\right)x,x\left(0\right)=\left(\begin{array}{c}1\\ -2\\ 5\end{array}\right)$