Question

Using the properties of determinants, evaluate:

$\left|\begin{array}{ccc}23& 6& 11\\ 36& 5& 26\\ 63& 13& 37\end{array}\right|$

• A. 0
• B. 2
• C. 1
• D. 4

Answer 1

The correct option is A 0

$\left|\begin{array}{ccc}23& 6& 11\\ 36& 5& 26\\ 63& 13& 37\end{array}\right|$

$\Rightarrow 23\left|\begin{array}{cc}5& 26\\ 13& 37\end{array}\right|-6\left|\begin{array}{cc}36& 26\\ 63& 37\end{array}\right|+11\left|\begin{array}{cc}36& 5\\ 63& 13\end{array}\right|$

$\Rightarrow 23(185-338)-6(-306)+11\left(153\right)$

$\Rightarrow 0$