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If $\Delta=\left|\begin{array}{lll}a_{11} & a_{12} & a_{13} \\ a_{21} & a_{22} & a_{23} \\ a_{31} & a_{32} & a_{33}\end{array}\right|$ and $\mathbf{A}_{\mathrm{ij}}$ is the cofactors of $\mathrm{a}_{\mathrm{ij}}$, then value of $\Delta$ is given by
(a) $a_{11} \mathbf{A}_{31}+a_{12} \mathbf{A}_{32}+a_{13} \mathbf{A}_{33}$
(b) $a_{11} \mathbf{A}_{11}+a_{12} \mathbf{A}_{21}+a_{13} \mathbf{A}_{31}$
(c) $a_{21} \mathbf{A}_{11}+a_{22} \mathbf{A}_{12}+a_{23} \mathbf{A}_{13}$
(d) $a_{11} \mathbf{A}_{11}+a_{21} \mathbf{A}_{21}+a_{31} \mathbf{A}_{31}$
(a) $a_{11} \mathbf{A}_{31}+a_{12} \mathbf{A}_{32}+a_{13} \mathbf{A}_{33}$
(b) $a_{11} \mathbf{A}_{11}+a_{12} \mathbf{A}_{21}+a_{13} \mathbf{A}_{31}$
(c) $a_{21} \mathbf{A}_{11}+a_{22} \mathbf{A}_{12}+a_{23} \mathbf{A}_{13}$
(d) $a_{11} \mathbf{A}_{11}+a_{21} \mathbf{A}_{21}+a_{31} \mathbf{A}_{31}$
Solution:
1092 Upvotes
Verified Answer
Option (d) is correct.
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