Find the rank and the nullity of the matrix $$A = \left[\begin{array}{ccccc} -1 &-2 &0 &-1 &-1\cr 1 &3 &0 &3 &2\cr -1 &-2 &0 &-1 &-2 \end{array}\right].$$ $\text{rank}(A) =$
$\text{nullity}(A) =$
$\text{rank}(A) + \text{nullity}(A) =$ choose the number of columns of A the number of rows of A