Determine the rank and nullity of the matrix.

$\displaystyle\left[\begin{array}{cccc} 4 &3 &2 &1 \cr 5 &-1 &3 &2 \cr 2 &1 &3 &6 \cr 7 &10 &3 &1 \cr 6 &4 &5 &7 \cr -2 &-2 &1 &5 \cr \end{array}\right]$

The rank of the matrix is

The nullity of the matrix is