Suppose that $T$ is a linear transformation such that $$T\left( \left[\begin{array}{c} 1\cr 0 \end{array}\right] \right) = \left[\begin{array}{c} -6\cr -6 \end{array}\right], \ \ \ \ T\left( \left[\begin{array}{c} 0\cr 1 \end{array}\right] \right) = \left[\begin{array}{c} 1\cr 5 \end{array}\right],$$ Write $T$ as a matrix transformation.

For any $\vec{x} \in \mathbb{R}^2$, the linear transformation $T$ is given by $T( \vec{x} ) =$ $\left[\Rule{0pt}{2.4em}{0pt}\right.$$\left]\Rule{0pt}{2.4em}{0pt}\right.$ $\vec{x}$.