Category:Unitary Matrices

This category contains results about Unitary Matrices.
Definitions specific to this category can be found in Definitions/Unitary Matrices.

Let $\mathbf U$ be a nonsingular square matrix over the complex numbers $\C$.

Then $\mathbf U$ is a unitary matrix if and only if:

$\mathbf U^{-1} = \mathbf U^\dagger$

where:

$\mathbf U^{-1}$ is the inverse of $\mathbf U$

$\mathbf U^\dagger$ is the Hermitian conjugate of $\mathbf U$.