A matrix is skew-symmetric if:
ADiagonal nonzero
BA = 0
CA^T = -A (so a_(ii) = 0)
DA = A^T
Answer & Solution
Correct answer: C. A^T = -A (so a_(ii) = 0)
Skew-symmetric: A^T = -A. Diagonal must be zero (since a_(ii) = -a_(ii)). 3D rotations have skew generators. Eigenvalues are pure imaginary (or zero).
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