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JEE Main 2024 Mathematics question

MathematicsMatricesJEE Main 2024

Let A be a 2 × 2 symmetric matrix such that and the determinant of A be 1. If A⁻¹ = αA + βI, where I is an identity matrix of order 2 × 2, then α + β equals …..

Answer: 5

Solution

With A = [[p, q], [q, r]]: p + q = 3, q + r = 7 and pr − q² = 1 give q = 2, p =

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Question ID VK-011392