LINEAR TRANSFORMATION EXPLORER
One matrix reshapes a 2D basis and a 3D cube. Compose operations and watch determinant track orientation and area or volume scaling.
orientation preserved
2D
transformed grid and basis
3D
transformed cube · drag to orbit
Preset
Identity
Rotate
Nonuniform scale
Shear
Reflection
Flatten dimension
Rotate Z
35°
Rotate Y
20°
Shear XY
0.00
Scale X
1.00
Scale Y
1.00
Scale Z
1.00
Compose into matrix
Reset
Determinant
1.000
Area scale in XY
1.000
Volume scale
1.000×
Composed operations
0
Determinant +1:
orientation and volume are preserved.
original
transformed X
transformed Y
transformed Z