Suppose that an invertible linear transformation \(T:\RR ^2\rightarrow \RR ^2\) is such that
\[T\left (\begin{bmatrix}3\\-1\end{bmatrix}\right )=\begin{bmatrix}4\\-7\end{bmatrix};\quad T\left (\begin{bmatrix}2\\1\end{bmatrix}\right )=\begin{bmatrix}-5\\4\end{bmatrix}\]

Find the vector whose image under \(T\) is \(\begin{bmatrix}3\\-10\end{bmatrix}\)

\[T\left (\begin{bmatrix}\answer {8}\\\answer {-1}\end{bmatrix}\right )=\begin{bmatrix}3\\-10\end{bmatrix}\]