Statements (31)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
Vector space property |
| gptkbp:characterizedBy |
Closure under addition and scalar multiplication
|
| gptkbp:closed_under |
Scalar multiplication
Vector addition |
| gptkbp:contains |
Zero vector
|
| gptkbp:contrastsWith |
gptkb:Affine_subspace
Subset |
| gptkbp:definedIn |
gptkb:Field
|
| gptkbp:example |
Line through the origin in R^2
Plane through the origin in R^3 Set containing only the zero vector |
| https://www.w3.org/2000/01/rdf-schema#label |
Linear subspace
|
| gptkbp:property |
Every intersection of subspaces is a subspace
Sum of subspaces is a subspace Union of subspaces is not necessarily a subspace |
| gptkbp:relatedTo |
gptkb:Quotient_space
Dimension Direct sum Basis Span Intersection of subspaces Sum of subspaces |
| gptkbp:subclassOf |
gptkb:Vector
|
| gptkbp:used_in |
gptkb:Mathematics
gptkb:Linear_algebra Functional analysis |
| gptkbp:bfsParent |
gptkb:Affine_subspace
gptkb:Affine_set gptkb:Convex_cone |
| gptkbp:bfsLayer |
8
|