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Mathematics-Online course: Linear Algebra - Analytic Geometry - Orthogonal Groups

Reflection

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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}\, . $

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

(Authors: App/Burkhardt/Höllig)

(temporary unavailable)
  automatically generated 4/21/2005