 Skew-symmetric matrix

WTF is a skew? "Antisymmetric" is just such a better name! And it also appears in other definitions such as antisymmetric multilinear map.

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 \( j \).