Mathematics-Online lexicon: Unitary Diagonalization

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	Mathematics-Online lexicon:
	Unitary Diagonalization

A B C D E F G H I J K L M N O P Q R S T U V W X Y Z

A matrix

is normal if and only if

is unitarily diagonalisable, that is, if

$\displaystyle U^{-1} A U = \operatorname{diag}(\lambda_1,\ldots,\lambda_n) \,,$

where the columns of

form an orthonormal basis consisting of eigenvectors associated with eigenvalues $\lambda_j$ .

(Authors: App/Burkhardt/Höllig/Kimmerle)

Example:

automatically generated 3/18/2005