JEE Advanced 2025 Paper 1 Mathematics Q4

Mathematics

Problem

Consider the matrix P = diag(2, 2, 3). Let the transpose of a matrix X be denoted by Xᵀ. Then the number of 3 × 3 invertible matrices Q with integer entries, such that Q⁻¹ = Qᵀ and PQ = QP, is

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