Mathematics-Online lexicon: Reflection

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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

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)

Annotation:

automatically generated 2/10/2005