Antisymmetric
In
set theory
, the adjective
antisymmetric
usually refers to an
antisymmetric relation
. In
linear algebra
and
theoretical physics
, the adjective
antisymmetric
(or
skew-symmetric
) is used for
matrices
,
tensors
, and other objects that change sign if an appropriate operation (usually the exchange of two indices, which becomes the
transposition
of the matrix) is performed. See:
antisymmetric matrix
antisymmetric tensor
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