Find a matrix $A$ such that $$A \left\lbrack \begin{array}{r} 1 \\ 0 \\ 0 \end{array} \right\rbrack = \left[\begin{array}{c} -3\cr 3\cr 2 \end{array}\right], \ \ \ \ A \left\lbrack \begin{array}{r} 0 \\ 1 \\ 0 \end{array} \right\rbrack = \left[\begin{array}{c} 1\cr 5\cr -1 \end{array}\right], \ \ \ \ A \left\lbrack \begin{array}{r} 0 \\ 0 \\ 1 \end{array} \right\rbrack = \left[\begin{array}{c} -3\cr -3\cr 1 \end{array}\right].$$