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JEE Main 2025 Mathematics question

MathematicsMatricesJEE Main 2025

Let A = , α > 0, such that det(A) = 0 and α + β = 1. If I denotes 2 × 2 identity matrix, then the matrix, is :

Answer: (1)

Solution

αβ=–6, α+β=1 gives α=3, β=–2. Computing (I+A)² then (I+A)⁴ then (I+A)⁸ yields the matrix in option (1).

Question ID VK-002503