The sum of the products of elements of any row with the cofactors of corresponding elements is equal to:
(
This question was previously asked in
Shift 30/05/2023 3:30 PM - 6:30 PM
A
the value of the determinant
B
0
C
sum of cofactors
D
adjoint of matrix
Correct Answer
the value of the determinant
Detailed Explanation
According to the expansion formula, for a given n×n 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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