Linear and multilinear algebra; matrix theory Vector spaces Concept
Basis
Summary
A basis of a vector space is a linearly independent family of vectors that spans the space. Each vector of the space is then a linear combination of the basis vectors in exactly one way.
Where this leads
11 pages build on this one.
Further reading
About this page
| Tag | 0KCQ9Y3QKA |
|---|---|
| URI | m2://0KCQ9Y3QKA |
| Kind | concept |
| Writing | W1 stated |
| MSC | 15A03 |
| Specializes | Spanning set |
| Same as |
Markdown · JSON · Edit on GitHub
What this page needs for W2
- edge instance_of in: at least two examples (1 of 2)
- edge not_instance_of in: at least one non-example (0 of 1)
The writing levels say how complete the text of a page is. They do not measure its truth.
What links here
Special cases
Instances
Definitions
Used by
- Bernstein–Bézier form
- Frame bundle
- Path algebra
- Rota's basis conjecture
- Curry–Schoenberg theorem
- Discontinuous additive functions via a Hamel basis
- Cellular algebra
- Poincaré–Birkhoff–Witt theorem
- Cauchy's functional equation
- Lagrange basis polynomials