The sum of the products of elements of any row with the cofactors of corresponding elements is equal to: ( ā€“ Answer & Explanation | CUET Subject PYQ ā€“ Dubuddy

The sum of the products of elements of any row with the cofactors of corresponding elements is equal to:
(

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A
the value of the determinant 
B
0
C
sum of cofactors
D
adjoint of matrix
Correct answer

Correct Answer

the value of the determinant 
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Detailed Explanation

According to the expansion formula, for a given nƗn matrix A, the determinant is the sum of products of elements of any row (or column) with their corresponding cofactors.

Hence, the sum of the products of elements of any row with the cofactors of corresponding elements is equal to the value of the determinant itself. Therefore, the correct option is (1) the value of the determinant.

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