LinearAlgebra
E96219
LinearAlgebra is Julia’s standard library module providing core functionality for vectors, matrices, and advanced linear algebra operations.
All labels observed (1)
| Label | Occurrences |
|---|---|
| LinearAlgebra canonical | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T815771 — resolving that mention is where its identity was fixed. The disambiguator weighed these candidate entities and picked the highlighted one (or “None”, minting a new entity). This is how homonymy is resolved: the same surface form can point to different entities.
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: LinearAlgebra Context triple: [Julia, hasStandardLibrary, LinearAlgebra]
-
A.
Gaussian elimination
Gaussian elimination is a fundamental algorithm in linear algebra used to solve systems of linear equations by systematically transforming matrices into row-echelon form.
-
B.
Matrix
Matrix is a professional haircare and hair color brand widely used in salons and owned by the cosmetics company L'Oréal.
-
C.
Matrix
The Matrix is a vast, sentient data repository and virtual reality construct on Gallifrey that stores the knowledge, memories, and consciousness of Time Lords in the Doctor Who universe.
-
D.
CAS (Computer Algebra System)
CAS (Computer Algebra System) is software that performs symbolic mathematical computations—such as algebraic manipulation, equation solving, and calculus operations—exactly rather than numerically.
-
E.
Gauss–Seidel method
The Gauss–Seidel method is an iterative numerical technique used to solve systems of linear equations, particularly in large, sparse problems arising in scientific and engineering computations.
- F. None of above. chosen
- G. Unsure - the case is ambiguous/there is not enough information to decide.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: LinearAlgebra Target entity description: LinearAlgebra is Julia’s standard library module providing core functionality for vectors, matrices, and advanced linear algebra operations.
-
A.
Gaussian elimination
Gaussian elimination is a fundamental algorithm in linear algebra used to solve systems of linear equations by systematically transforming matrices into row-echelon form.
-
B.
Matrix
Matrix is a professional haircare and hair color brand widely used in salons and owned by the cosmetics company L'Oréal.
-
C.
Matrix
The Matrix is a vast, sentient data repository and virtual reality construct on Gallifrey that stores the knowledge, memories, and consciousness of Time Lords in the Doctor Who universe.
-
D.
CAS (Computer Algebra System)
CAS (Computer Algebra System) is software that performs symbolic mathematical computations—such as algebraic manipulation, equation solving, and calculus operations—exactly rather than numerically.
-
E.
Gauss–Seidel method
The Gauss–Seidel method is an iterative numerical technique used to solve systems of linear equations, particularly in large, sparse problems arising in scientific and engineering computations.
- F. None of above. chosen
Statements (51)
| Predicate | Object |
|---|---|
| instanceOf |
Julia module
ⓘ
Julia standard library module ⓘ |
| exportsConstant |
BLAS
ⓘ
I ⓘ LAPACK ⓘ |
| exportsFunction |
cholesky
ⓘ
cross ⓘ det ⓘ dot ⓘ eigen ⓘ eigvals ⓘ eigvecs ⓘ inv ⓘ ldlt ⓘ lu ⓘ norm ⓘ normalize ⓘ pinv ⓘ qr ⓘ rank ⓘ svd ⓘ |
| exportsType |
Adjoint
ⓘ
Bidiagonal ⓘ Diagonal ⓘ Hermitian ⓘ LowerTriangular ⓘ Symmetric ⓘ Transpose ⓘ Tridiagonal ⓘ UniformScaling ⓘ UpperTriangular ⓘ |
| isLoadedWith | using LinearAlgebra ⓘ |
| isPartOf | Julia standard library ⓘ |
| programmingLanguage | Julia ⓘ |
| providesFunctionalityFor |
linear algebra operations
ⓘ
matrices ⓘ vectors ⓘ |
| supportsDataType |
AbstractMatrix
ⓘ
AbstractVector ⓘ |
| supportsOperation |
cross products
ⓘ
determinant computation ⓘ dot products ⓘ eigenvalue computations ⓘ linear system solving ⓘ matrix factorization ⓘ matrix inversion ⓘ matrix multiplication ⓘ norm computations ⓘ singular value decomposition ⓘ |
| usesBackend |
BLAS
ⓘ
LAPACK ⓘ |
How these facts were elicited
The pipeline generated the facts above by prompting gpt-5.1 with this entity's name + description and the instruction below.
Instruction
You are a knowledge base construction expert. Given a subject entity and a description of it, return factual statements that you know for the subject as a JSON list of dictionaries(triples), where keys must be "subject", "predicate" and "object". The number of facts may be very high, between 25 to 50 or more, for very popular subjects. For less popular subjects, the number of facts can be very low, like 5 or 10. # Requirements - If you don't know the subject at all, return an empty list. - If the subject is not a named entity, return an empty list. - Include at least one triple where predicate is "instanceOf". - Do not get too wordy. - Separate several objects into multiple triples with one object.
Input
Subject: LinearAlgebra Description of subject: LinearAlgebra is Julia’s standard library module providing core functionality for vectors, matrices, and advanced linear algebra operations.
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.