Find the value of the determinant.
-$\left| \begin{array} { l l l } 3 & 5 & 5 \ 6 & 3 & 2 \ 1 & 1 & 5 \end{array} \right|$
A) $- 106$
B) 256
C) $- 86$
D) 86

Question

Quizplus · Accepted Answer

Using the formula for the determinant of a 3x3 matrix, we calculate: $det(A) = 3(3*5 - 2*1) - 5(6*5 - 2*1) + 5(6*1 - 3*1) = 3(15 - 2) - 5(30 - 2) + 5(6 - 3) = 3(13) - 5(28) + 5(3) = 39 - 140 + 15 = -86.$

Find the Value of the Determinant ∣355632115∣\left| \begin{array} { l l l } 3 & 5 & 5 \\ 6 & 3 & 2 \\ 1 & 1 & 5 \end{array} \right|​361​531​525​​

Find the Value of the Determinant $\left| \begin{array} { l l l } 3 & 5 & 5 \\ 6 & 3 & 2 \\ 1 & 1 & 5 \end{array} \right|$