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Mathematics-Online lexicon:

Isometry of Orthogonal and Unitary Matrices

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A real (complex) matrix $ A$ is orthogonal (unitary) if and only if the Euclidian vector norm is invariant under $ A$, that is,

$\displaystyle \vert Av\vert = \vert v\vert\, . $

(Authors: App/Burkhardt/Höllig)

Annotation:

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  automatically generated 3/15/2005