Linear System - Echelon Matrix

> Linear Algebra

Table of Contents

1 - About

The Echelon form is a generalization of triangular matrices.

An

<math>m * n</math>

matrix A is in echelon form if it satisfies the following condition:

  • for any row, if that row’s first nonzero entry is in position k
  • then every previous row’s first nonzero entry is in some position less than k.

If a matrix is in echelon form, the nonzero rows form a basis for the row space

Advertising
linear_algebra/echelon.txt · Last modified: 2013/08/22 11:22 by gerardnico