Skew-symmetric Matrix

Skew-symmetric Matrix

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

\begin{bmatrix} 0 & 2 & -1 \\ -2 & 0 & -4 \\ 1 & 4 & 0\end{bmatrix}.

Read more about Skew-symmetric Matrix:  Properties, Alternating Forms, Infinitesimal Rotations, Coordinate-free, Skew-symmetrizable Matrix

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