Statements (25)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:algorithm
|
| gptkbp:appliesTo |
rectangular matrices
square matrices |
| gptkbp:complexity |
O(n^3)
|
| gptkbp:detects |
dependent equations
inconsistent systems |
| gptkbp:field |
linear algebra
|
| 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:requires |
elementary row operations
|
| gptkbp:step |
forward elimination
backward elimination |
| gptkbp:usedFor |
solving systems of linear equations
computing matrix rank finding matrix inverses |
| gptkbp:bfsParent |
gptkb:Wilhelm_Jordan
gptkb:Gaussian_elimination gptkb:Louis_Gauss |
| gptkbp:bfsLayer |
6
|