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Student[LinearAlgebra]

  

GaussianElimination

  

perform Gaussian elimination on a Matrix

  

ReducedRowEchelonForm

  

perform Gauss-Jordan elimination on a Matrix

 

Calling Sequence

Parameters

Description

Examples

Calling Sequence

GaussianElimination(A)

ReducedRowEchelonForm(A)

Parameters

A

-

Matrix

Description

• 

The GaussianElimination(A) command performs Gaussian elimination on the Matrix A and returns the upper triangular factor U with the same dimensions as A.

  

This command is equivalent to calling LUDecomposition with the output=['U'] option.

• 

The ReducedRowEchelonForm(A) command performs Gauss-Jordan elimination on the Matrix A and returns the unique reduced row echelon form R of A.

  

This command is equivalent to calling LUDecomposition with the output=['R'] option.

Examples

withStudent[LinearAlgebra]:

A8,3,1,5|4,5,0,2|5,8,3,1|5,5,4,9

A:=8455358510345219

(1)

b4,0,8,5

b:=4085

(2)

GaussianEliminationA

845501327985580016352213520002607163

(3)

ReducedRowEchelonFormA|b

10001715260701003668260700101345869000117592607

(4)

See Also

LinearAlgebra[GaussianElimination]

Student[LinearAlgebra]

Student[LinearAlgebra][AddRow]

Student[LinearAlgebra][GaussianEliminationTutor]

Student[LinearAlgebra][GaussJordanEliminationTutor]

Student[LinearAlgebra][LinearSolve]

Student[LinearAlgebra][LinearSolveTutor]

Student[LinearAlgebra][LUDecomposition]

Student[LinearAlgebra][MultiplyRow]

Student[LinearAlgebra][SwapRow]

 


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