Chapter 6.3, Problem 16E

To determine

To create:

The zeroes in the $\left(1,2\right)$, $\left(1,3\right)$, $\left(1,4\right)$, $\left(2,3\right)$, and $\left(2,4\right)$ positions and evaluate the original determinant.

$\left|\begin{array}{cccc}1& 2& 0& 3\\ 2& 5& 1& 1\\ 2& 0& 4& 3\\ 0& 1& 6& 2\end{array}\right|$