Definition:Unitary Matrix

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Let $\mathbf U$ be an invertible square matrix over the complex numbers $\C$.

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

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


$\mathbf U^{-1}$ is the inverse of $\mathbf U$
$\mathbf U^\dagger$ is the Hermitian conjugate of $\mathbf U$.

Also see

  • Results about unitary matrices can be found here.