ReducedRowEchelonForm Command

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 \( \begin{pmatrix} 1 & 0 & 0 & 5\\ 0 & 1 & 0 & \frac{-14}\{5} \\ 0 & 0 & 1 & 2\end{pmatrix}\).