Difference between revisions of "ReducedRowEchelonForm Command"

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<noinclude>{{Manual Page|version=4.0}}</noinclude>
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<noinclude>{{Manual Page|version=5.0}}</noinclude>{{command|cas=true|vector-matrix}}
{{command|vector-matrix}}
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;ReducedRowEchelonForm( <Matrix> )
;ReducedRowEchelonForm[ <Matrix> ]
 
 
:Returns the [[w:Row_echelon_form|reduced echelon form]] of the matrix.
 
:Returns the [[w:Row_echelon_form|reduced echelon form]] of the matrix.
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:{{examples| 1=<div>
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:*<code><nowiki>ReducedRowEchelonForm({{1, 6, 4}, {2, 8, 9}, {4, 5, 6}})</nowiki></code> yields the matrix <math> \begin{pmatrix} 1 & 0 & 0 \\ 0 & 1 & 0 \\ 0 & 0 & 1 \end{pmatrix}</math>.
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:*<code><nowiki>ReducedRowEchelonForm({{2, 10, 11, 4}, {2, (-5), (-6), 12}, {2, 5, 3, 2}})</nowiki></code> yields the matrix <math> \begin{pmatrix} 1 & 0 & 0 & 5\\ 0 & 1 & 0 & -2.8\\ 0 & 0 & 1 & 2\end{pmatrix}</math>.</div>}}
 
==CAS Syntax==
 
==CAS Syntax==
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;ReducedRowEchelonForm( <Matrix> )
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:Returns the [[w:Row_echelon_form|reduced echelon form]] of the matrix.
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:{{examples| 1=<div>
 +
:*<code><nowiki>ReducedRowEchelonForm({{1, 6, 4}, {2, 8, 9}, {4, 5, 6}})</nowiki></code> yields the matrix <math> \begin{pmatrix} 1 & 0 & 0 \\ 0 & 1 & 0 \\ 0 & 0 & 1 \end{pmatrix}</math>.
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:*<code><nowiki>ReducedRowEchelonForm({{2, 10, 11, 4}, {2, (-5), (-6), 12}, {2, 5, 3, 2}})</nowiki></code> yields the matrix <math> \begin{pmatrix} 1 & 0 & 0 & 5\\ 0 & 1 & 0 & \frac{-14}{5} \\ 0 & 0 & 1 & 2\end{pmatrix}</math>.</div>}}

Latest revision as of 08:56, 12 October 2018


ReducedRowEchelonForm( <Matrix> )
Returns the reduced echelon form of the matrix.
Examples:
  • ReducedRowEchelonForm({{1, 6, 4}, {2, 8, 9}, {4, 5, 6}}) yields the matrix \begin{pmatrix} 1 & 0 & 0 \\ 0 & 1 & 0 \\ 0 & 0 & 1 \end{pmatrix}.
  • ReducedRowEchelonForm({{2, 10, 11, 4}, {2, (-5), (-6), 12}, {2, 5, 3, 2}}) yields the matrix \begin{pmatrix} 1 & 0 & 0 & 5\\ 0 & 1 & 0 & -2.8\\ 0 & 0 & 1 & 2\end{pmatrix}.

CAS Syntax

ReducedRowEchelonForm( <Matrix> )
Returns the reduced echelon form of the matrix.
Examples:
  • ReducedRowEchelonForm({{1, 6, 4}, {2, 8, 9}, {4, 5, 6}}) yields the matrix \begin{pmatrix} 1 & 0 & 0 \\ 0 & 1 & 0 \\ 0 & 0 & 1 \end{pmatrix}.
  • ReducedRowEchelonForm({{2, 10, 11, 4}, {2, (-5), (-6), 12}, {2, 5, 3, 2}}) yields the matrix \begin{pmatrix} 1 & 0 & 0 & 5\\ 0 & 1 & 0 & \frac{-14}{5} \\ 0 & 0 & 1 & 2\end{pmatrix}.
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