If A = [aᵢⱼ] is a 2×2 matrix where aᵢⱼ = i − j, then A is: A. Skew-symmetric B. Symmetric C. Diagonal D. Scalar Answer: A) Skew-symmetric Explanation: a₁₁ = 0, a₁₂ = −1, a₂₁ = 1, a₂₂ = 0. So A = [[0, −1], [1, 0]]. A' = [[0, 1], [−1, 0]] = −A. Hence A is skew-symmetric.

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If A = [aᵢⱼ] is a 2×2 matrix where aᵢⱼ = i − j, then A is:

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If A = [aᵢⱼ] is a 2×2 matrix where aᵢⱼ = i − j, then A is:

Answer: A) Skew-symmetric

Explanation: a₁₁ = 0, a₁₂ = −1, a₂₁ = 1, a₂₂ = 0. So A = [[0, −1], [1, 0]]. A' = [[0, 1], [−1, 0]] = −A. Hence A is skew-symmetric.