If the adjoint of a 3×3 matrix P is bmatrix 1 & 4 & 4 2 & 1 & 7 1 & 1 & 3 bmatrix , then the possible value(s) of the determinant of P is (are)

JEE Advanced 2012 Mathematics question

If the adjoint of a 3×3 matrix P is , then the possible value(s) of the determinant of P is (are)

Answer: (A),(D)

For a 3×3 matrix, . $(adj P) = 1(3 - 7) -

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Question ID VK-026122