79 How to find the rank and bases of the null space for a matrix A?

Problem: Find the rank and nullities of the following matrices, and find the bases of the range space and the null space.

$\ A=% \begin{pmatrix} 2 & 3 & 3 & 4\\ 0 & -1 & -2 & 2\\ 0 & 0 & 0 & 1 \end{pmatrix}$