Category:Definitions/Antisymmetric Matrices

This category contains definitions related to Antisymmetric Matrices.
Related results can be found in Category:Antisymmetric Matrices.

Let $R$ be a ring.

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

$\mathbf A$ is antisymmetric if and only if:

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

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