Find the determinant of \(A\) if
\[A=\begin{bmatrix}1 & 3 & 4 & 1\\k & 0 & 0 & 2\\0 & 1 & -2 & 1\\1 & -1 & 0 & 1\end{bmatrix}\]
where \(k\) is a constant.
\[\mbox {det}(A)=\answer {16k-24}\]

For what value of \(k\) is \(A\) singular?

\[k=\answer {1.5}\]