Evaluate the determinant.
-$$\left| \begin{array} { r r r }
5 & - 7 & 3 \
0 & 9 & 1 \
0 & 0 & - 8
\end{array} \right|$$
A) 360
B) 353
C) $- 367$
D) $- 360$

Name: Evaluate the determinant. -\[\left| \begin{array} { r r r } 5 & - 7 & 3 \\ 0 & 9 & 1 \\ 0 & 0 & - 8 \end{array} \right|\] A) 360 B) 353 C) $- 367$ D) $- 360$
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Question

Evaluate the determinant.
-$$\left| \begin{array} { r r r } 
5 & - 7 & 3 \
0 & 9 & 1 \
0 & 0 & - 8
\end{array} \right|$$
A) 360
B) 353
C) $- 367$
D) $- 360$

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 $5 \times 9 \times (-8) = -360$.

Evaluate the Determinant ∣5−7309100−8∣\left| \begin{array} { r r r } 5 & - 7 & 3 \\0 & 9 & 1 \\0 & 0 & - 8\end{array} \right|​500​−790​31−8​​

Evaluate the Determinant $\left| \begin{array} { r r r } 5 & - 7 & 3 \\0 & 9 & 1 \\0 & 0 & - 8\end{array} \right|$