Find the value of the determinant.
-$$\left| \begin{array} { r r r }
8 & - 6 & 5 \
0 & 3 & 6 \
0 & 0 & - 4
\end{array} \right|$$
A) 60
B) $- 132$
C) $- 96$
D) 96

Name: Find the value of the determinant. -\[\left| \begin{array} { r r r } 8 & - 6 & 5 \\ 0 & 3 & 6 \\ 0 & 0 & - 4 \end{array} \right|\] A) 60 B) $- 132$ C) $- 96$ D) 96
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Question

Find the value of the determinant.
-$$\left| \begin{array} { r r r } 
8 & - 6 & 5 \
0 & 3 & 6 \
0 & 0 & - 4
\end{array} \right|$$
A) 60
B) $- 132$
C) $- 96$
D) 96

Quizplus · Accepted Answer

The determinant of a triangular matrix (either upper or lower triangular) is the product of its diagonal elements. Thus, the determinant is $8 \times 3 \times (-4) = -96$.

Find the Value of the Determinant ∣8−6503600−4∣\left| \begin{array} { r r r } 8 & - 6 & 5 \\0 & 3 & 6 \\0 & 0 & - 4\end{array} \right|​800​−630​56−4​​

Find the Value of the Determinant $\left| \begin{array} { r r r } 8 & - 6 & 5 \\0 & 3 & 6 \\0 & 0 & - 4\end{array} \right|$