Statements (33)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:algorithm
|
| gptkbp:appliesTo |
matrices
augmented matrices |
| gptkbp:can_be_performed_with |
full pivoting
partial pivoting |
| gptkbp:complexity |
O(n^3)
|
| gptkbp:field |
linear algebra
|
| https://www.w3.org/2000/01/rdf-schema#label |
Gaussian elimination
|
| gptkbp:involves |
row operations
|
| gptkbp:namedAfter |
gptkb:Carl_Friedrich_Gauss
|
| gptkbp:output |
infinitely many solutions
no solution solution to linear system |
| gptkbp:produces |
reduced row echelon form
row echelon form |
| gptkbp:relatedTo |
gptkb:Gauss–Jordan_elimination
LU decomposition |
| gptkbp:step |
back substitution
forward elimination |
| gptkbp:used_in |
computer science
engineering numerical analysis physics statistics |
| gptkbp:usedFor |
finding matrix inverse
finding matrix rank solving systems of linear equations |
| gptkbp:bfsParent |
gptkb:Carl_Friedrich_Gauss
gptkb:Johann_Carl_Friedrich_Gauß gptkb:Johann_Carl_Friedrich_Gauss gptkb:Linear_algebra gptkb:Carl_Friedrich_Gauß |
| gptkbp:bfsLayer |
5
|