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Mathematics-Online lexicon:

Reflection


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 overview

A reflection in $ \mathbb{R}^n$ with respect to the hyperplane orthogonal to unit vector $ d\ne 0$

$\displaystyle H:\ d^{\operatorname t}x = 0
$

can be described by the following matrix:

$\displaystyle Q = E - 2 d d^{\operatorname t}\, .
$

\includegraphics[width=0.8\linewidth]{a_spiegelung}

(Authors: App/Burkhardt/Höllig)

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  automatically generated 2/10/2005