UPSC NDA 2 2022 Mathematics Solved Paper

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Consider the following for the next three (03) itcms that follow:
Let ∆ be the determinant of a matrix A, where A=(
a11a12a13
a21a22a23
a31a32a33
)
and C11,C12,C13 be the cofactors of a11,a12,a13 respectively.
[NDA II 2022]
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Question : 28 of 120
 
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What is the value of a11C11+a12C12+a13C13 ?
[NDA II 2022]
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