Skew-symmetry refers to a property of a matrix or tensor where the transpose (or the corresponding transformation) results in the negation of the original entity. This means that for a skew-symmetric matrix A, the condition $$A^T = -A$$ holds true. This characteristic plays a crucial role in various mathematical contexts, particularly in linear algebra and tensor analysis, where it relates to the behavior of certain transformations and helps define concepts such as antisymmetric tensors.
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