Linear and multilinear algebra; matrix theory Vector spaces Concept
Linear independence
Summary
Vectors are linearly independent when no nontrivial linear combination of them is zero. Equivalently, no vector of the family is a linear combination of the others.
Where this leads
14 pages build on this one.
Further reading
About this page
| Tag | 0CRMGPAH83 |
|---|---|
| URI | m2://0CRMGPAH83 |
| Kind | concept |
| Writing | W1 stated |
| MSC | 15A03 |
| Same as |
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What this page needs for W2
- edge instance_of in: at least two examples (0 of 2)
- edge not_instance_of in: at least one non-example (0 of 1)
- edge specializes both: the more general notions and the special cases (0 of 1)
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What links here
Definitions
Used by
- Minkowski's second theorem
- Schanuel's conjecture
- Schmidt subspace theorem
- Eigendecomposition
- Successive minima
- Nevanlinna theory in several variables
- Plücker coordinates
- Degenerate kernel
- Matroid
- Affine independence
- Baker's theorem
- Oriented matroid
- Lattice (group)