A·B · living transform
x′ = A·B·x
A 3×3 matrix maps every vector x to A·x: the lattice is the image of the unit cube under that linear map. det(A) is the volume scale factor, the trace is the sum of eigenvalues, and eigenvectors keep their direction. Robot kinematics, stress tensors and 3D graphics pipelines run on this product.
right-click · learn & record
Vector transform (A·B)·v
[1.00, 1.00, 1.00] → [0.44, 1.85, 0.62]
