solve A . x = b where A is in upper row echelon form - Maple Help

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Student[LinearAlgebra][BackwardSubstitute] - solve A . x = b where A is in upper row echelon form

Calling Sequence

BackwardSubstitute(A, b, options)

Parameters

A

-

upper row echelon form Matrix

b

-

(optional) Vector

options

-

(optional) parameters; for a complete list, see LinearAlgebra[BackwardSubstitute]

Description

• 

The BackwardSubstitute(A, b) command, where A is an upper row echelon Matrix and b is a Vector, returns a solution to the equation A.x=b.

  

If b is not included in the calling sequence, A is assumed to be an augmented Matrix.

Examples

withStudent[LinearAlgebra]:

M:=2,4,1|4,2,2|0,2,5

M:=240422125

(1)

A:=GaussianEliminationM

A:=2400102005

(2)

BackwardSubstituteA,4,5,5

753101

(3)

M:=2,0|3,0|1,3

M:=231003

(4)

A:=M|4,1

A:=23140031

(5)

BackwardSubstituteA

13632_t01_t0113

(6)

See Also

LinearAlgebra[BackwardSubstitute], Student[LinearAlgebra], Student[LinearAlgebra][GaussianElimination]


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