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MHT CET 2022 Mathematics question

MathematicsDeterminantsMHT CET 2022

If and is a cofactor of , then is equal to

Answer: (C)

Solution

The sum of the products of the elements of one row with the cofactors of the corresponding elements of a different row is always zero. Here the elements of row 1 are multiplied by the cofactors of row 2, so the sum is 0. Direct check:

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Question ID VK-094171