Question

The value of determinant $\left|\begin{array}{ccc}19& 6& 7\\ 21& 3& 15\\ 28& 11& 6\end{array}\right|$ is :

• A. $150$
• B. $-110$
• C. $0$
• D. None of these

Answer 1

Answer: (C)

$0$

$\left|\begin{array}{ccc}19& 6& 7\\ 21& 3& 15\\ 28& 11& 6\end{array}\right|$

$=19(3\times 6-11\times 15)$

$-6(21\times 6-15\times 28)$

$+7(21\times 11-3\times 28)$

$=19(-147)-6(-294)$

$+7\left(147\right)$

$=0$