5 The linear transformation \(T:\mathbb{R}^4\to\mathbb{R}^4\) is represented by the matrix \(M\), where

\(M=\begin{pmatrix}1&2&0&4\\5&2&1&-3\\4&0&1&-7\\-2&4&-1&\alpha\end{pmatrix}\).

It is given that the rank of \(M\) is \(2\).

(i) Find the value of \(\alpha\) and state a basis for the range space of \(T\).

(ii) Obtain a basis for the null space of \(T\).