Evaluate the determinant.
-$\left| \begin{array} { r r r } 7 & - 3 & 9 \ 0 & 5 & 1 \ 0 & 0 & - 5 \end{array} \right|$
A) 175
B) $- 178$
C) $- 175$
D) 172

Name: Evaluate the determinant. -$\left| \begin{array} { r r r } 7 & - 3 & 9 \\ 0 & 5 & 1 \\ 0 & 0 & - 5 \end{array} \right|$ A) 175 B) $- 178$ C) $- 175$ D) 172
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Question

Quizplus · Accepted Answer

The determinant of an upper triangular matrix is the product of its diagonal elements. Here, the determinant is $7 \times 5 \times (-5) = -175$.

Evaluate the Determinant ∣7−3905100−5∣\left| \begin{array} { r r r } 7 & - 3 & 9 \\ 0 & 5 & 1 \\ 0 & 0 & - 5 \end{array} \right|​700​−350​91−5​​

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