|
Rotation matrix - Definition |
| Related Words: Articulation, Bank, Beat, Buzz, Catapult, Catena, Catenation, Chain, Circle, Circuit, Circulation, Concatenation, Connection, Continuation, Continuity, Continuum, Course |
|
|
|
A rotation matrix is a matrix that generalizes the concept of a rotation of a set of points around a certain axis, about some arbitrary angle (or consequently rotating the axes about another axis).
For the former, in R3, the rotation about the z-axis is given by:
- <math> \begin{pmatrix} \cos{\theta} & -\sin{\theta} & 0 \\
\sin{\theta} & \cos{\theta} & 0 \\
0 & 0 & 1 \end{pmatrix}<math>
with the equivalent clockwise rotation in R2 can be given from the minor M3,3.
|
|
|
