Chapter 8.1, Problem 9E

In Problems 1–6 write the given linear system in matrix form.

9. $\frac{d}{dt}\left(\begin{array}{c}x\\ y\\ z\end{array}\right)=\left(\begin{array}{ccc}1& -1& 2\\ 3& -4& 1\\ -2& 5& 6\end{array}\right)\left(\begin{array}{c}x\\ y\\ z\end{array}\right)+\left(\begin{array}{c}1\\ 2\\ 2\end{array}\right)e^{-t}-\left(\begin{array}{c}3\\ -1\\ 1\end{array}\right)t$