Chapter 4.2, Problem 19E

To determine

To calculate:

The determinant of the given matrix $A=\left[\begin{array}{cccc}0& 0& 0& 2\\ 0& 0& 3& 1\\ 0& 2& 1& 2\\ 3& 4& 1& 4\end{array}\right]$ and state whether the matrix is singular or non-singular.