Consider a linear system whose augmented matrix is

$$\left[ \begin{array}{rrr|r} 1 & 1 & 2 & 3 \cr 1 & 2 & -2 & 0 \cr 4 & 12 & k & -11 \end{array} \right]$$

For what value of $k$ will the system have no solutions?

$k=$