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MHT CET 2022 Mathematics question

MathematicsDeterminantsMHT CET 2022

If and is a cofactor of then the value of is equal to

Answer: (B)

Solution

The sum of the products of the elements of any row with their own cofactors equals (expansion along row 3). So the expression equals . Expanding along row 1: $|A| = 1(2· 4 - 2· 1) - 3(-1· 4 - 2· 1) + 3(-1· 1 - 2· 1) = 1(6) - 3(-6) + 3(-3) = 6

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Question ID VK-095998