reduced row echelon form

For a matrix to be in reduced row echelon form (or Hermite normal form) it has to first satisfy the requirements to be in row echelon formMathworldPlanetmath and additionally satisfy the following requirements:

  1. 1.

    The first non-zero element in any row must be 1.

  2. 2.

    The first element of value 1 in any row must be the only non-zero value in its column.

An example of a matrix in reduced row echelon form could be:

Title reduced row echelon form
Canonical name ReducedRowEchelonForm
Date of creation 2013-03-22 12:14:14
Last modified on 2013-03-22 12:14:14
Owner mathcam (2727)
Last modified by mathcam (2727)
Numerical id 9
Author mathcam (2727)
Entry type Definition
Classification msc 15A06
Related topic RowEchelonForm
Related topic GaussianElimination
Related topic DeterminingRankOfMatrix
Defines Hermite normal form