Definition:Antisymmetric Matrix

Definition
Let $R$ be a ring.

Let $\mathbf A$ be a square matrix over $R$.

$\mathbf A$ is antisymmetric :


 * $\mathbf A = - \mathbf A^\intercal$

where $\mathbf A^\intercal$ is the transpose of $\mathbf A$.

Also known as
Some sources use a hyphen: anti-symmetric.

Some sources use the term skew-symmetric.