Category:Antisymmetric Matrices

This category contains results about Antisymmetric Matrices.
Definitions specific to this category can be found in Definitions/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 $\mathbf A$.