Vipul: Created page with "{{matrix property}} ==Definition== A matrix is said to be a '''row echelon matrix''', or is said to be in '''row echelon form''', if it satisfies the following conditions:..."

2014-05-01T18:13:42Z

Created page with "{{matrix property}} ==Definition== A matrix is said to be a '''row echelon matrix''', or is said to be in '''row echelon form''', if it satisfies the following conditions:..."

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{{matrix property}}

==Definition==

A matrix is said to be a '''row echelon matrix''', or is said to be in '''row echelon form''', if it satisfies the following conditions:

* All nonzero rows are above all zero rows. Here, a ''nonzero row'' is a row that has at least one nonzero entry, and a zero row is a row where ''all'' entries are zero.
* The first nonzero entry in any nonzero row occurs in a strictly later column than the first nonzero entry in the row immediately above it (and hence also, in all the rows above it).
* The first nonzero entry in any nonzero row is 1 (this condition is omitted in some definitions).

==Relation with other properties==

===Stronger properties===

* [[Weaker than::reduced row echelon form]]

Row echelon form - Revision history

Vipul: Created page with "{{matrix property}} ==Definition== A matrix is said to be a '''row echelon matrix''', or is said to be in '''row echelon form''', if it satisfies the following conditions:..."