In mathematics, and in particular linear algebra, a skew-symmetric (or antisymmetric or antimetric) matrix is a square matrix whose transpose is also its negative; that is, it satisfies the condition −A = A. If the entry in the ith row and jth column is aij, i.e. A = (aij) then the skew symmetric condition is aij = −aji. For example, the following matrix is skew-symmetric:
，各元素的关系为：
