If $T: {\mathbb R}^3 \rightarrow {\mathbb R}^3$ is a linear transformation such that $$T\left( \left[\begin{array}{c} 1\cr 0\cr 0 \end{array}\right] \right) = \left[\begin{array}{c} -3\cr 4\cr -1 \end{array}\right], \ \ \ T\left( \left[\begin{array}{c} 0\cr 1\cr 0 \end{array}\right] \right) = \left[\begin{array}{c} 1\cr 0\cr 1 \end{array}\right], \ \ \ T\left( \left[\begin{array}{c} 0\cr 0\cr 1 \end{array}\right] \right) = \left[\begin{array}{c} -3\cr -3\cr -1 \end{array}\right],$$
then $\ T \left(\left[\begin{array}{c} 3\cr 2\cr 2 \end{array}\right]\right) =$ $\left[\Rule{0pt}{3.6em}{0pt}\right.$$\left]\Rule{0pt}{3.6em}{0pt}\right.$