Skew-symmetric matrix
= Skew-symmetric matrix
{wiki=Skew-symmetric_matrix}
A skew-symmetric matrix (also known as an antisymmetric matrix) is a square matrix \\( A \\) such that its transpose is equal to the negative of the matrix itself: \\\[ A^T = -A \\\] This means that for any elements of the matrix, the following condition holds: \\\[ a_\{ij\} = -a_\{ji\} \\\] for all \\( i \\) and \\( j \\).