let, $\displaystyle \ T =

\[\begin{bmatrix}

1 & 3 & -7 \\

2 & -1 & 0 \\

3 & -1 & -1\\

4 & -3 & -2

\end{bmatrix}

\]$

determine a basis for the (a) range space of $\displaystyle T$ and (b) null space of $\displaystyle T$

well,i know that Null space of the matrix is the collection of $\displaystyle X$s where $\displaystyle TX=O$

and range of $\displaystyle T$ is the collection of all possible linear combinations of the column vectors of $\displaystyle T$. from this, how can i get the answers?