Find the matrix $A$ of the linear transformation from ${\mathbb R}^2$ to ${\mathbb R}^3$ given by $$T \left( \left[\begin{array}{c} x_{1}\cr x_{2}\cr \end{array}\right] \right) = \left[\begin{array}{c} -6\cr 1\cr -6 \end{array}\right] x_1 + \left[\begin{array}{c} 5\cr 9\cr 1 \end{array}\right] x_2.$$

$A =$ $\left[\Rule{0pt}{3.6em}{0pt}\right.$$\left]\Rule{0pt}{3.6em}{0pt}\right.$