Statements (21)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
Linear algebra concept |
| gptkbp:category |
gptkb:Isomorphism
|
| gptkbp:definedIn |
A bijective linear map between two vector spaces
|
| gptkbp:designer |
Is also a vector space isomorphism
|
| https://www.w3.org/2000/01/rdf-schema#label |
Vector space isomorphism
|
| gptkbp:implies |
The two vector spaces are structurally identical
The two vector spaces have the same dimension |
| gptkbp:preserves |
Scalar multiplication
Vector addition |
| gptkbp:property |
Equivalence relation on vector spaces
|
| gptkbp:relatedTo |
gptkb:Homomorphism
Automorphism Basis Linear transformation Dimension theorem |
| gptkbp:symbol |
≅
|
| gptkbp:usedIn |
gptkb:Linear_algebra
gptkb:Abstract_algebra |
| gptkbp:bfsParent |
gptkb:Isomorphism
|
| gptkbp:bfsLayer |
6
|