Find the value of the determinant.
-$\left| \begin{array} { r r r } 5 & - 5 & 8 \ 0 & 9 & 9 \ 0 & 0 & - 7 \end{array} \right|$
A) 315
B) 270
C) $- 315$
D) $- 360$

Name: Find the value of the determinant. -$\left| \begin{array} { r r r } 5 & - 5 & 8 \\ 0 & 9 & 9 \\ 0 & 0 & - 7 \end{array} \right|$ A) 315 B) 270 C) $- 315$ D) $- 360$
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Question

Quizplus · Accepted Answer

The determinant of an upper triangular matrix is the product of its diagonal elements: $5 \times 9 \times (-7) = -315$.

Find the Value of the Determinant ∣5−5809900−7∣\left| \begin{array} { r r r } 5 & - 5 & 8 \\ 0 & 9 & 9 \\ 0 & 0 & - 7 \end{array} \right|​500​−590​89−7​​

Find the Value of the Determinant $\left| \begin{array} { r r r } 5 & - 5 & 8 \\ 0 & 9 & 9 \\ 0 & 0 & - 7 \end{array} \right|$