Grassmann Algebra Volume 1: Foundations Exploring extended vector Algebra with Mathematica Grassmann Algebra extends vector Algebra by introducing the exterior product to algebraicize the notion of linear dependence.
By interpreting one o.
The pair behaves a little like the Boolean duals of union and intersection.
The extensive exterior product also has a regressive dual: the regressive product. multivectors.
with it, vectors may be extended to higher-grade entities: bivectors, trivectors, ...
Grassmann Algebra Volume 1: Foundations Exploring extended vector Algebra with Mathematica Grassmann Algebra extends vector Algebra by introducing the exterior product to algebraicize the notion of linear dependence