Question

The value of $\Delta =\left|\begin{array}{ccc}102& 18& 36\\ 1& 3& 4\\ 17& 3& 6\end{array}\right|,$ is equal to

Answer 1

Given : $\Delta =\left|\begin{array}{ccc}102& 18& 36\\ 1& 3& 4\\ 17& 3& 6\end{array}\right|$
Taking $\left(6\right)$ common from $R_1,$ we get
$\Delta =6\left|\begin{array}{ccc}17& 3& 6\\ 1& 3& 4\\ 17& 3& 6\end{array}\right|=0$
$\because R_1$ and $R_3$ are identical.