Statements (33)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:Matrix
|
| gptkbp:appliesTo |
Coordinate systems
Vectors |
| gptkbp:determinant |
1
|
| gptkbp:dimensions |
3D
2D nD |
| gptkbp:heldBy |
Orthogonal matrix
|
| gptkbp:notation |
R
|
| gptkbp:preserves |
gptkb: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
|
| https://www.w3.org/2000/01/rdf-schema#label |
Rotation matrix
|