lect1109EchelonForm

Lect1109EchelonForm - MATH 17100 28446 The row-reduced echelon form An m n matrix is in row-reduced form if it has the following properties(1 The

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
MATH 17100 28446 11/09/2009 The row-reduced echelon form An mn matrix is in row-reduced form if it has the following properties: (1) The first non-zero element encountered along any row is 1. Such an element is called a pivot element . (2) Along the column where a pivot element is located, all other elements are 0. (3) Zero rows occur below non-zero rows. (4) The pivot element in any row occupies a column to the right of the pivot element above it. Any given matrix can be brought into row-reduced form, and that row-reduced form is unique for the given matrix, by application of the elementary row operations, namely row exchanges,
Background image of page 1
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 11/04/2010 for the course MATH 17100 taught by Professor Kitchens during the Spring '10 term at IUPUI.

Ask a homework question - tutors are online