Statements (23)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:algorithm
|
| gptkbp:appliesTo |
matrices over a field
|
| gptkbp:can_be_performed_by |
elementary row operations
|
| gptkbp:complexity |
O(n^3)
|
| gptkbp:field |
linear algebra
|
| gptkbp:firstDescribed |
19th century
|
| https://www.w3.org/2000/01/rdf-schema#label |
Gauss-Jordan elimination
|
| gptkbp:input |
augmented matrix
|
| gptkbp:method |
row reduction
|
| gptkbp:namedAfter |
gptkb:Carl_Friedrich_Gauss
gptkb:Wilhelm_Jordan |
| gptkbp:output |
solution to linear system
|
| gptkbp:produces |
reduced row echelon form
|
| gptkbp:relatedTo |
gptkb:Gaussian_elimination
|
| gptkbp:step |
forward elimination
backward elimination |
| gptkbp:teaches |
matrix manipulation
|
| gptkbp:used_in |
computer algebra systems
|
| gptkbp:usedFor |
solving systems of linear equations
finding matrix inverses computing rank of a matrix |
| gptkbp:bfsParent |
gptkb:Linear_algebra
|
| gptkbp:bfsLayer |
5
|