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A '''rotation matrix''' is an orthogonal ''n x n'' [[matrix]] having a determinant equal to 1.
A '''rotation matrix''' is an [[Orthogonal matrix| orthogonal]] ''n x n'' [[matrix]] having a determinant equal to 1.
The linear transformation ''T('''x''')'' = ''A'' '''''x''''' is a "rotation".
The linear transformation ''T('''x''')'' = ''A'' '''''x''''' is a "rotation".
In two dimensions a rotation by <math>\theta</math> can be represented by the matrix:
<math> R = \begin{pmatrix}\cos\theta & -\sin\theta \\ \sin\theta & \cos\theta\end{pmatrix}</math>
[[Category:linear algebra]]
[[Category:linear algebra]]