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
|