Use a graphing calculator to find the value of the determinant.
-$\left| \begin{array} { l l l } 2 & 5 & 2 \ 3 & 2 & 1 \ 5 & 0 & 4 \end{array} \right|$
A) 121
B) 39
C) $- 89$
D) $- 39$

Question

Quizplus · Accepted Answer

The determinant of a 3x3 matrix can be calculated using the formula: $a(ei-fh) - b(di-fg) + c(dh-eg)$. Substituting the values from the matrix, the determinant is $2(2*4-1*0) - 5(3*4-1*5) + 2(3*0-2*5)$, which simplifies to $-39$.

Use a Graphing Calculator to Find the Value of the Determinant