Statements (18)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:alsoKnownAs |
dimension theorem
|
| gptkbp:appliesTo |
matrices
linear transformations |
| gptkbp:category |
theorem in mathematics
|
| gptkbp:field |
linear algebra
|
| https://www.w3.org/2000/01/rdf-schema#label |
rank-nullity theorem
|
| gptkbp:implies |
rank plus nullity equals dimension of domain
|
| gptkbp:introduced |
gptkb:Eugen_Netto
|
| gptkbp:relatedTo |
dimension of domain
dimension of image dimension of kernel |
| gptkbp:state |
dim(V) = rank(T) + nullity(T)
|
| gptkbp:usedFor |
analyzing solutions to linear systems
|
| gptkbp:usedIn |
vector spaces
finite-dimensional vector spaces |
| gptkbp:bfsParent |
gptkb:Linear_algebra
|
| gptkbp:bfsLayer |
5
|