Line 10: Line 10:
  
 
a. If a row has nonzero entries, then the first nonzero entry is 1, called the leading 1 (or pivot) in this row.
 
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.
 
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.  
 
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.
 
Condition c implies that rows of 0's, if any, appear at the bottom of the matrix.

Revision as of 21:35, 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.

Alumni Liaison

Ph.D. 2007, working on developing cool imaging technologies for digital cameras, camera phones, and video surveillance cameras.

Buyue Zhang