This is a place holder for potential sponsor logos.

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:

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

$\displaystyle \left( \begin{array}{cccccccccc} 0 & 1 & 2 & 6 & 0 & 1 & 0 & 0 & ... ...& 0 & 1 & 2 & 1\ 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0\ \end{array}\right)$

reduced row echelon form is owned by Cam McLeman, imran.

How to Cite This Entry

Cam McLeman, imran. "reduced row echelon form" (version 5). PlanetMath.org. Freely available at http://planetmath.org/ReducedRowEchelonForm.html.

Classification

AMS MSC:

15A06 (Linear and multilinear algebra; matrix theory :: Linear equations)

Pending Errata and Addenda

None. [ View all 4 ]

Interact

Discussion

No messages.

Username:
Password:

Register
I've forgotten my login details