Difference between revisions of "Rotation matrix"
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| − | A '''rotation matrix''' is an [[Orthogonal matrix| 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". | ||
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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> | ||
| − | [[Category: | + | [[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:
