Evaluate $2 \times 2$ determinant. $$\left| \begin{array} { c c }
\frac { 1 } { 2 } & \frac { 1 } { 3 } \
- 3 & - 6
\end{array} \right|$$
A) -1
B) -2
C) 8

Question

Evaluate $2 \times 2$ determinant. $$\left| \begin{array} { c c } 
\frac { 1 } { 2 } & \frac { 1 } { 3 } \
- 3 & - 6
\end{array} \right|$$
A) -1
B) -2
C) 8

Quizplus · Accepted Answer

$$\left| \begin{array} { c c } 
\frac { 1 } { 2 } & \frac { 1 } { 3 } \
- 3 & - 6
\end{array} \right| = \frac{1}{2} \cdot (-6) - \frac{1}{3} \cdot (-3) = -2$$ 
Therefore, the answer is $\boxed{\text{(B)}}$.

Evaluate 2×22 \times 22×2 Determinant ∣1213−3−6∣\left| \begin{array} { c c } \frac { 1 } { 2 } & \frac { 1 } { 3 } \\- 3 & - 6\end{array} \right|​21​−3​31​−6​​

Evaluate $2 \times 2$ Determinant $\left| \begin{array} { c c } \frac { 1 } { 2 } & \frac { 1 } { 3 } \\- 3 & - 6\end{array} \right|$