Student[LinearAlgebra]
BackwardSubstitute
solve A . x = b where A is in upper row echelon form
Calling Sequence
Parameters
Description
Examples
BackwardSubstitute(A, b, options)
A
-
upper row echelon form Matrix
b
(optional) Vector
options
(optional) parameters; for a complete list, see LinearAlgebra[BackwardSubstitute]
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.
withStudentLinearAlgebra:
M≔2,4,−1|4,−2,−2|0,2,5
M≔2404−22−1−25
A≔GaussianEliminationM
A≔2400−102005
BackwardSubstituteA,4,−5,−5
75310−1
M≔2,0|3,0|−1,3
M≔23−1003
A≔M|4,1
A≔23−140031
BackwardSubstituteA
136−3_t012_t0113
See Also
LinearAlgebra[BackwardSubstitute]
Student[LinearAlgebra][GaussianElimination]
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