multivector
Sign in to savethumb|Relations between scalars, vectors, simple -vectors, -vectors, and multivectors. Depending on the authors, a "multivector" may be either homogeneous or a mixture of different values of . This graph picks the latter.
Article
14 sectionsContents
- Exterior product
- Area and volume
- Multivectors in R<sup>2</sup>
- Multivectors in R<sup>3</sup>
- Grassmann coordinates
- Multivectors on the projective plane ''P''<sup>2</sup>
- Multivectors on projective 3-space ''P''<sup>3</sup>
- Clifford product
- Geometric algebra
- Examples
- Bivectors
- Applications
- See also
- References
thumb|Relations between scalars, vectors, simple -vectors, -vectors, and multivectors. Depending on the authors, a "multivector" may be either homogeneous or a mixture of different values of . This graph picks the latter.
In multilinear algebra, a multivector, sometimes called Clifford number or multor, is an element of the exterior algebra of a vector space . This algebra is graded, associative and alternating, and consists of linear combinations of simple -vectors (also known as decomposable -vectors or -blades) of the form v_1\wedge\cdots\wedge v_k, where v_1, \ldots, v_k are in .