Let α and β be the distinct roots of the equation x² + x − 1 = 0. Consider the set T = {1, α, β}. For a 3 × 3 matrix M = (aᵢⱼ)₃ₓ₃, define Rᵢ = aᵢ₁ + aᵢ₂ + aᵢ₃ and Cⱼ = a₁ⱼ + a₂ⱼ + a₃ⱼ for i = 1, 2, 3 and j = 1, 2, 3. Match each entry in List-I to the correct entry in List-II. List-I: (P) number of matrices M with all entries in T such that Rᵢ = Cⱼ = 0 for all i, j; (Q) number of symmetric matrices M with all entries in T such that Cⱼ = 0 for all j; (R) for skew symmetric M with aᵢⱼ ∈ T for i > j, the number of elements in {(x,y,z)ᵀ : x,y,z ∈ ℝ, M(x,y,z)ᵀ = (a₁₂,0,−a₂₃)ᵀ}; (S) for M with all entries in T such that Rᵢ = 0 for all i, the absolute value of det M. List-II: (1) 1, (2) 12, (3) infinite, (4) 6, (5) 0. The correct option is