If Delta=left|begin{array}{lll}a_{11} & a_{12} & a_{13} a_{21} & a_{22} & a_{23} a_{

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3 and 4 .Determinants and Matrices

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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 $\mathrm{A}_{i j}$ is Cofactors of $a_{i j},$ then value of $\Delta$ is given by

A

$a_{11} \mathrm{A}_{31}+a_{12} \mathrm{A}_{32}+a_{13} \mathrm{A}_{33}$

B

$a_{11} \mathrm{A}_{11}+a_{21} \mathrm{A}_{21}+a_{31} \mathrm{A}_{31}$

C

$a_{21} \mathrm{A}_{11}+a_{22} \mathrm{A}_{12}+a_{23} \mathrm{A}_{13}$

D

$a_{11} \mathrm{A}_{11}+a_{12} \mathrm{A}_{21}+a_{13} \mathrm{A}_{31}$

Solution

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Standard 12

Mathematics

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