Category:Definitions/Unitary Matrices

This category contains definitions related to Unitary Matrices.
Related results can be found in Category: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 $\mathbf U$.