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MATH 17100
28446
11/09/2009
The rowreduced echelon form
An
mn
matrix is in
rowreduced form
if it has the following properties:
(1)
The first nonzero 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 nonzero 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 rowreduced form, and that rowreduced form is unique
for the given matrix, by application of the elementary row operations, namely row exchanges,
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This note was uploaded on 11/04/2010 for the course MATH 17100 taught by Professor Kitchens during the Spring '10 term at IUPUI.
 Spring '10
 KITCHENS
 Math

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