Evaluate the determinant.
$\left| \begin{array} { l l l }
2 & 8 & 5 \
3 & 9 & 8 \
8 & 6 & 2
\end{array} \right|$
A) 134
B) -890
C) -134
D) 1142

Question

Evaluate the determinant.
$\left| \begin{array} { l l l } 
2 & 8 & 5 \
3 & 9 & 8 \
8 & 6 & 2
\end{array} \right|$
A) 134
B)  -890 
C)  -134 
D) 1142

Quizplus · Accepted Answer

The determinant is evaluated as follows:$\left| \begin{array} { l l l } 2 & 8 & 5 \3 & 9 & 8 \8 & 6 & 2\end{array} \right|$$= 2(9 \times 2 - 8 \times 6) - 8(3 \times 2 - 8 \times 8) + 5(3 \times 6 - 9 \times 8)$$= 2(18 - 48) - 8(-6 - 64) + 5(18 - 72)$$= 2(-30) - 8(-70) + 5(-54)$$= -60 + 560 - 270$$= 134$

Evaluate the Determinant ∣285398862∣\left| \begin{array} { l l l } 2 & 8 & 5 \\3 & 9 & 8 \\8 & 6 & 2\end{array} \right|​238​896​582​​

Evaluate the Determinant $\left| \begin{array} { l l l } 2 & 8 & 5 \\3 & 9 & 8 \\8 & 6 & 2\end{array} \right|$