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Home  >>  JEEMAIN and AIPMT  >>  Mathematics  >>  Class12  >>  Determinants
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Evaluate :$\begin{vmatrix}3 &2& 12\\0 &1&8\\2&9&7\end{vmatrix}$

(A) 187 (B) -187 (C) 186 (D) 0

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1 Answer

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Expanding by 1st column we get,
$D=3\begin{vmatrix}1 &8\\9 &7\end{vmatrix}-0\begin{vmatrix}2 &12\\9&7\end{vmatrix}+2\times \begin{vmatrix}2 &12\\1&8\end{vmatrix}$
$\Rightarrow D=3[7-72]-0+2(16-12)$
$\Rightarrow D=-187$
Hence (b) is the correct answer.
answered Nov 19, 2013 by sreemathi.v
 

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