Evaluate.
-$$\left| \begin{array} { l l l }
3 & 6 & 4 \
1 & 5 & 5 \
2 & 5 & 2
\end{array} \right|$$
A) 17
B) $- 17$
C) $- 137$
D) 237

Question

Evaluate.
-$$\left| \begin{array} { l l l } 
3 & 6 & 4 \
1 & 5 & 5 \
2 & 5 & 2
\end{array} \right|$$
A) 17
B) $- 17$
C) $- 137$
D) 237

Quizplus · Accepted Answer

The determinant of a 3x3 matrix can be calculated using the formula: $a(ei-fh) - b(di-fg) + c(dh-eg)$. Applying this to the given matrix, we get: $3(5*2 - 5*2) - 6(1*2 - 5*2) + 4(1*5 - 5*2) = 3(0) - 6(-8) + 4(-5) = 0 + 48 - 20 = 28 - 45 = -17$.

Evaluate - ∣364155252∣\left| \begin{array} { l l l } 3 & 6 & 4 \\1 & 5 & 5 \\2 & 5 & 2\end{array} \right|​312​655​452​​

Evaluate
- $\left| \begin{array} { l l l } 3 & 6 & 4 \\1 & 5 & 5 \\2 & 5 & 2\end{array} \right|$