Question

What is the determinant of the matrix $\left[\begin{array}{cc}3& 6\\ -1& 2\end{array}\right]$?

• A. $0$
• B. $12$
• C. $|0|$
• D. $|6|$

Answer 1

The correct option is B $12$

Given,
$\left|\begin{array}{cc}3& 6\\ -1& 2\end{array}\right|$
Let determinent be $\left|d\right|$
Value of $\left|d\right|$ will be
$\left|d\right|$$=$$3\times 2-(6\times -1)$
$=6+6=12$