Chapter 6.7, Problem 9P

In each of Problems 9 and 10, find the solution of the given initial value problem. Draw the corresponding trajectory in $x_1{x}_2$-space and also draw the graph of $x_1$ versus $t$.

$x\text{'}=\left(\begin{array}{cc}1& -4\\ 4& -7\end{array}\right)x,x\left(0\right)=\left(\begin{array}{c}7\\ 1\end{array}\right)$