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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}\, .


(Authors: App/Burkhardt/Höllig)


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  automatically generated 2/10/2005