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Mathematics-Online lexicon:

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)

Annotation:


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  automatically generated 2/10/2005