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Evaluate begin vmatrix 2 amp 0 amp 5 4 amp 6 am... - JAMB Mathematics 2010 Question

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 option: c

(\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

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