interactive Gauss-Jordan elimination - Maple Help

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Student[LinearAlgebra][GaussJordanEliminationTutor] - interactive Gauss-Jordan elimination

Calling Sequence

GaussJordanEliminationTutor(M)

GaussJordanEliminationTutor(M, v)

Parameters

M

-

Matrix

v

-

Vector

Description

• 

The GaussJordanEliminationTutor(M) command allows you to interactively reduce the Matrix M to reduced row echelon form using Gauss-Jordan elimination.  You can then query for the rank, nullity, and bases for the row, column, and null spaces. It returns the reduced Matrix.

• 

The GaussJordanEliminationTutor(M, v) command allows you to interactively solve the system M&period;x&equals;v by reducing the augmented Matrix <M | v> to reduced row echelon form using Gauss-Jordan elimination. It returns the solution as a column Vector.

• 

Floating-point numbers in M or v are converted to rationals before computation begins.

• 

The dimensions of the Matrix must be no greater than 5x5.

Examples

withStudent&lsqb;LinearAlgebra&rsqb;&colon;

M:=1&comma;2&comma;0&verbar;2&comma;3&comma;2&verbar;0&comma;2&comma;1&verbar;3&comma;5&comma;5

M:=120323250215

(1)

v:=5&comma;4&comma;2

v:=542

(2)

GaussJordanEliminationTutorM

GaussJordanEliminationTutorM&comma;v

See Also

Student[LinearAlgebra], Student[LinearAlgebra][AddRow], Student[LinearAlgebra][GaussianElimination], Student[LinearAlgebra][GaussianEliminationTutor], Student[LinearAlgebra][LinearSolve], Student[LinearAlgebra][LinearSolveTutor], Student[LinearAlgebra][MultiplyRow], Student[LinearAlgebra][ReducedRowEchelonForm], Student[LinearAlgebra][SwapRow]


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