Chapter 9.7, Problem 1E

In Problems 1-6, use the method of undetermined coefficient to find the a general solution to the system $x^{\prime }\left(t\right)=Ax\left(t\right)+f\left(t\right)$, where $A$ and $f\left(t\right)$ are given.

$A=\left[\begin{array}{cc}6& 1\\ 4& 3\end{array}\right]$, $f\left(t\right)=\left[\begin{array}{c}-11\\ -5\end{array}\right]$