Difference between revisions of "Rotation matrix"

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<math>  R = \begin{pmatrix}\cos\theta & -\sin\theta \\ \sin\theta & \cos\theta\end{pmatrix}</math>
 
<math>  R = \begin{pmatrix}\cos\theta & -\sin\theta \\ \sin\theta & \cos\theta\end{pmatrix}</math>
  
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[[Category:Linear algebra]]
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[[Category:Linear Algebra]]

Latest revision as of 14:35, July 28, 2016

A rotation matrix is an orthogonal n x n matrix having a determinant equal to 1.

The linear transformation T(x) = A x is a "rotation".

In two dimensions a rotation by can be represented by the matrix: