Statements (23)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:alsoKnownAs |
gptkb:Kernel
|
| gptkbp:application |
Finding solutions to Ax=0
Solving homogeneous systems |
| gptkbp:definedIn |
Matrix
Linear transformation |
| gptkbp:defines |
Set of all vectors that map to the zero vector under a given linear transformation
|
| gptkbp:dimensions |
Nullity
|
| gptkbp:field |
gptkb:Linear_algebra
|
| https://www.w3.org/2000/01/rdf-schema#label |
Null space
|
| gptkbp:notation |
N(A)
N(T) ker(A) ker(T) |
| gptkbp:property |
Always contains the zero vector
Closed under addition and scalar multiplication |
| gptkbp:relatedConcept |
Rank
Column space Rank-nullity theorem |
| gptkbp:subspaceOf |
Domain of the transformation
|
| gptkbp:type |
gptkb:Subspace
|
| gptkbp:bfsParent |
gptkb:Kernel_(algebra)
|
| gptkbp:bfsLayer |
8
|