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UPSC NDA 2 2022 Mathematics Solved Paper

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Consider the following for the next three (03) itcms that follow:

Let

\Delta

be the determinant of a matrix

A

, where

A = \begin{pmatrix} a_{11} & a_{12} & a_{13} \\ a_{21} & a_{22} & a_{23} \\ a_{31} & a_{32} & a_{33} \end{pmatrix}

and

C_{11}, C_{12}, C_{13}

be the cofactors of

a_{11}, a_{12}, a_{13}

respectively.

[NDA II 2022]

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Question : 30 of 120

Marks: +1, -0

What is the value of

\begin{vmatrix} a_{21} & a_{31} & a_{11} \\ a_{23} & a_{33} & a_{13} \\ a_{22} & a_{32} & a_{12} \end{vmatrix}

0
1
$\Delta$
$-\Delta$

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