Let $$A = \left[\begin{array}{ccccc} -3 &1 &-3 &3 &5\cr -3 &2 &-1 &1 &-1\cr 2 &3 &1 &-3 &-3 \end{array}\right].$$ Give a non-zero vector $\vec{x}$ in the null space of $A$.

$\vec{x} =$ $\left[\Rule{0pt}{6em}{0pt}\right.$$\left]\Rule{0pt}{6em}{0pt}\right.$.