Rotation matrix

GPTKB entity

Statements (33)
Predicate Object
gptkbp:instanceOf Matrix
gptkbp:appliesTo Coordinate systems
Vectors
gptkbp:determinant 1
gptkbp:dimensions 3D
2D
nD
gptkbp:heldBy Orthogonal matrix
https://www.w3.org/2000/01/rdf-schema#label Rotation matrix
gptkbp:notation R
gptkbp:preserves Angle
Length
gptkbp:property Columns are orthonormal vectors
Inverse is equal to transpose
Rows are orthonormal vectors
gptkbp:relatedGroup gptkb:Special_orthogonal_group
gptkbp:relatedTo gptkb:Axis-angle_representation
gptkb:Quaternions
gptkb:Euler_angles
Homogeneous transformation
Transformation matrix
gptkbp:represents Rotation in Euclidean space
gptkbp:used_in gptkb:Computer_graphics
gptkb:Physics
gptkb:robot
gptkb:Linear_algebra
Engineering
gptkbp:usedFor gptkb:Animation
3D modeling
Changing basis
Describing rigid body motion
gptkbp:bfsParent gptkb:Euler_angles
gptkbp:bfsLayer 6