\text { Find the rank and nullity of the matrix } A=\left[\begin{array}{rrrrr} 5 & 4 & 3 & 1 & 3 \\ 6 & -4 & -2 & 2 &

2 \\ 3 & 4 & -10 & 4 & 1 \\ 9 & 10 & -18 & 20 & 21 \end{array}\right] \text { . }