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JEE Main 2012 Mathematics question

MathematicsMatricesJEE Main 2012

If denotes the transpose of the matrix , where a, b, c, d, e and f are integers such that abd ≠ 0, then the number of such matrices for which is

Answer: (3)

Solution

means the rows are orthonormal. Row 1 = (0, 0, a) forces a = ±1; row 2 ⊥ row 1 forces c = 0

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Question ID VK-103610