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

Rotation

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A rotation in $ \mathbb{R}^n$ by angle $ \vartheta$ in the $ (j,k)$-plane can be described by the matrix

$\displaystyle \begin{array}{lr} \\ \\ \mathrm{row}\ j & \to \\ \\ \mat... ...& \\ && s && c && \\ &&&&& \ddots & \\ 0 &&&&&& 1 \end{array}\right)=R $

where $ c=\cos(\vartheta)$, $ s=\sin(\vartheta)$.
(Authors: App/Burkhardt/Höllig)
  automatically generated 4/21/2005