Find the value of begin vmatrix 0 amp 3 amp 2 1... - JAMB Mathematics 2014 Question
Find the value of \(\begin{vmatrix}
0 & 3 & 2 \\ 1 & 7 & 8 \\ 0 & 5 & 4
\end{vmatrix}\)
0 & 3 & 2 \\ 1 & 7 & 8 \\ 0 & 5 & 4
\end{vmatrix}\)
A
12
B
10
C
-1
D
-2
correct option: d
\(0 \begin{vmatrix}
7 & 8 \\ 5 & 4\end{vmatrix}-3 \begin{vmatrix}
1 & 8 \\ 0 & 4\end{vmatrix}+2 \begin{vmatrix}
1 & 7 \\ 0 & 5\end{vmatrix}\)
= 0(28 - 40) - 3(4 - 0) + 2(5 - 0)
= 0(-12) - 3(4) + 2(5)
= 0 - 12 + 10
= -2
7 & 8 \\ 5 & 4\end{vmatrix}-3 \begin{vmatrix}
1 & 8 \\ 0 & 4\end{vmatrix}+2 \begin{vmatrix}
1 & 7 \\ 0 & 5\end{vmatrix}\)
= 0(28 - 40) - 3(4 - 0) + 2(5 - 0)
= 0(-12) - 3(4) + 2(5)
= 0 - 12 + 10
= -2
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