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 form and additionally satisfy the following requirements:
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1.
The first non-zero element in any row must be 1.
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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 |