12 Three planes have equations
$$\begin{aligned}
4 x - 5 y + z & = 8
3 x + 2 y - k z & = 6
( k - 2 ) x + k y - 8 z & = 6
\end{aligned}$$
where \(k\) is a real constant.
The planes do not meet at a unique point.
12
- Find the possible values of \(k\).
12 - For each value of \(k\) found in part (a), identify the configuration of the given planes. Fully justify your answer, stating in each case whether or not the equations of the planes form a consistent system.