• A matrix A is skew-symmetric if A^T = –A, i.e. a_ij = –a_ji for every i, j, and all diagonal entries are zero.
• Here a12 = 0.5 and a21 = –0.5 (=–a12); a13 = 1.5 and a31 = –1.5 (=–a13); a23 = 2.5 and a32 = –2.5 (=–a23). All diagonal entries are 0.
• Every off-diagonal pair satisfies a_ij = –a_ji, so the matrix is skew-symmetric.
• Distractor logic: it is not diagonal (off-diagonal terms are non-zero), not symmetric (a_ij ≠ a_ji), and not orthogonal (A A^T ≠ I, since a skew-symmetric matrix is orthogonal only in special cases which do not hold here).
• Final Answer: (D) Skew-symmetric matrix
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