Evaluate (begin{vmatrix} 2 & 0 & 5 \ 4 & 6 & 3 \ 8 & 9 & 1 end{vmatrix})
-
A.
5y – 2x -18 = 0 -
B.
102 -
C.
-102 -
D.
-42
Correct Answer: Option C
Explanation
(begin{vmatrix} 2 & 0 & 5 \ 4 & 6 & 3 \ 8 & 9 & 1 end{vmatrix})
= 2(6 – 27) – 0(4 – 24) + 5(36 – 48)
= 2(-21) – 0 + 5(-12)
= -42 + 5(-12)
= -42 – 60
= -102