jee_main_2025_28_jan_morning - Matrices and Determinants Topics

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QUESTION #71 Symmetric and Skew Symmetric Matrices
Let M denote the set of all real matrices of order 3 × 3 and let S = -3, -2, -1, 1, 2. Let S₁ = A = [ aᵢⱼ ] in M: A = A^T and aᵢⱼ in S, i, j S₂ = A = [ aᵢⱼ ] in M: A = -A^T and aᵢⱼ in S, i, j S₃ = A = [ aᵢⱼ ] in M: a₁₁ + a₂₂ + a₃₃ = 0 and aᵢⱼ in S, i, j If n(S₁ S₂ S₃) = 125α, then α equals.
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JEE Physics: Waves (+15.5%) | Electrostatics: Concentric Shells (-29.7%) | Modern Physics: Photoelectric Clones (+34.2%) | Mathematics: Definite Integrals (+18.1%) | Chemistry: Coordination Splitting (-11.4%) | JEE Physics: Waves (+15.5%) | Electrostatics: Concentric Shells (-29.7%) | Modern Physics: Photoelectric Clones (+34.2%) | Mathematics: Definite Integrals (+18.1%) | Chemistry: Coordination Splitting (-11.4%)

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