A rotation matrix does not have any real eigenvectors or eigenvalues. This means that a nonzero input vector will be rotated by the same amount. The rotation matrix is a form of Euclidean transformation. It can express coordinates in one coordinate system in terms of another coordinate system. This is useful in robotics for determining the location and rotation of the end effector of a robot arm. it also is used in vehicle dynamic modeling.
[[2D Rotation Matrix]]
[[2D Transformation matrix]]
[[Square Matrix]] – transformation matrices are square
[[Affine Matrix Transformation]] – uses combinations of rotation and translation
- zachstarApplicationsEigenvectorsEigenvalues2019
- FriendlyIntroductionRotation2017