Evaluate.
-$\left| \begin{array} { r r r } 5 & 8 & 9 \ 3 & 8 & 5 \ 6 & 5 & 2 \end{array} \right|$
A) $- 150$
B) $- 630$
C) 1060
D) 150

Question

Quizplus · Accepted Answer

The determinant of a 3x3 matrix can be calculated using the formula: $a(ei-fh) - b(di-fg) + c(dh-eg)$. Applying this to the given matrix, we get: $5(8*2 - 5*5) - 8(3*2 - 5*6) + 9(3*5 - 8*6) = 5(16 - 25) - 8(6 - 30) + 9(15 - 48) = 5(-9) - 8(-24) + 9(-33) = -45 + 192 - 297 = -150$.

Evaluate - ∣589385652∣\left| \begin{array} { r r r } 5 & 8 & 9 \\ 3 & 8 & 5 \\ 6 & 5 & 2 \end{array} \right|​536​885​952​​

Evaluate
- $\left| \begin{array} { r r r } 5 & 8 & 9 \\ 3 & 8 & 5 \\ 6 & 5 & 2 \end{array} \right|$