title: Antisymmetric
text: # Antisymmetric
  
  Antisymmetric or skew-symmetric may refer to:
  
  * Antisymmetry in linguistics
  * Antisymmetry in physics
  * Antisymmetric relation in mathematics
  * Skew-symmetric graph
  * Self-complementary graph
  
  In mathematics, especially linear algebra, and in theoretical physics, the adjective antisymmetric (or skew-symmetric) is used for matrices, tensors, and other objects that change sign if an appropriate operation (e.g. matrix transposition) is performed. See:
  
  * Skew-symmetric matrix (a matrix A for which $A^T$ = −A)
  * Skew-symmetric bilinear form is a bilinear form B such that B(x, y) = −B(y, x) for all x and y.
  * Antisymmetric tensor in matrices and index subsets.
  * "antisymmetric function" – odd function
  