Find the rank and the nullity of the matrix $$A = \left[\begin{array}{cccc} -1 &-1 &1 &0\cr 1 &2 &3 &9\cr -1 &-1 &0 &-3\cr 1 &1 &0 &3 \end{array}\right].$$ $\text{rank}(A) =$
$\text{nullity}(A) =$

Using your previous answers, is the matrix $A$ invertible? choose invertible not invertible