Let \( A \) be \( a 3 \times 3 \) matrix given by \( A=\left(a_{i j...

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Let \( A \) be \( a 3 \times 3 \) matrix given by \( A=\left(a_{i j}\right)_{3 \times 3} \). If for
\( \mathrm{P} \) every column vector \( X \) satisfies \( X^{\prime} A X=0 \) and \( a_{12}= \)

W \( 2008, a_{13}=2010 \) and \( a_{23}=-2012 \). Then the value of \( a_{21}+a_{31}+a_{32}= \)
(A) -6
(B) 2006
(C) -2006
(D) 0
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