Chapter 8.1, Problem 5E

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

5. $\begin{array}{l}\frac{dx}{dt}=x-y+z+t-1\\ \frac{dy}{dt}=2x+y-z-3t^2\\ \frac{dz}{dt}=x+y+z+t^2-t+2\end{array}$