Line 17: Line 17:
 
Condition c implies that rows of 0's, if any, appear at the bottom of the matrix.
 
Condition c implies that rows of 0's, if any, appear at the bottom of the matrix.
  
'''Definition: Rank'''
 
== Headline text ==
 
  
 +
== '''Definition: Rank''' ==
  
 
The rank of matrix A is the number of leading 1's in rref A
 
The rank of matrix A is the number of leading 1's in rref A

Revision as of 21:38, 18 February 2010

'''Purdue University'''

MATH351: Linear Algebra and its applications


RREF (Reduced Row Echelon Form)

A matrix is in RREF form if it satisfies all of the following conditions:

a. If a row has nonzero entries, then the first nonzero entry is 1, called the leading 1 (or pivot) in this row.

b. If a column contains a leading 1, then all the other entries in that column are 0.

c. If a row contains leading 1, then each row above it contains a leading 1 further to the left.

Condition c implies that rows of 0's, if any, appear at the bottom of the matrix.


Definition: Rank

The rank of matrix A is the number of leading 1's in rref A

Alumni Liaison

Followed her dream after having raised her family.

Ruth Enoch, PhD Mathematics