Answer
See image
Work Step by Step
Approximately, $T(a_1)=\begin{bmatrix}
2.7\\
-1
\end{bmatrix}$ and $T(a_2)=\begin{bmatrix}
1.7\\
1
\end{bmatrix}$. Therefore, $A=\begin{bmatrix}
2.7 & 1.7\\
-1 & 1
\end{bmatrix}$
$T(-1,3)=\begin{bmatrix}
2.7 & 1.7\\
-1 & 1
\end{bmatrix}\begin{bmatrix}
-1\\
3
\end{bmatrix}=\begin{bmatrix}
2.4\\
4
\end{bmatrix}$
Please note this is an approximate, not exact, solution.
