Let P = [a_ ij ] be a 3×3 matrix and let Q = [b_ ij ], where b_ ij = 2^ i+j a_ ij for 1 i, j 3. If the determinant of P is 2, then the determinant of the matrix Q is

JEE Advanced 2012 Mathematics question

Let be a 3×3 matrix and let , where for . If the determinant of P is 2, then the determinant of the matrix Q is

Answer: (D)

, so with (row i multiplied by and

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Question ID VK-026050