Write $\left[\begin{array}{c} 1\cr -1\cr 2 \end{array}\right]$ as a linear combination of the vectors $\left[\begin{array}{c} -3\cr 3\cr -3 \end{array}\right], \left[\begin{array}{c} 1\cr 5\cr 2 \end{array}\right], \left[\begin{array}{c} -3\cr 0\cr -1 \end{array}\right].$

$\left[\begin{array}{c} 1\cr -1\cr 2 \end{array}\right] =$ $\left[\begin{array}{c} -3\cr 3\cr -3 \end{array}\right] +$ $\left[\begin{array}{c} 1\cr 5\cr 2 \end{array}\right] +$ $\left[\begin{array}{c} -3\cr 0\cr -1 \end{array}\right].$