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[[MATH351: Linear Algebra and its applications]]
 
[[MATH351: Linear Algebra and its applications]]
  
RREF (Reduced Row Echelon Form)  
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[[RREF (Reduced Row Echelon Form)]] [[[[Link title]]'''Bold text''']]
  
 
A matrix is in RREF form if it satisfies all of the following conditions:  
 
A matrix is in RREF form if it satisfies all of the following conditions:  

Revision as of 21:34, 18 February 2010

'''Purdue University'''

MATH351: Linear Algebra and its applications

RREF (Reduced Row Echelon Form) [[Link titleBold text]]

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.

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Abstract algebra continues the conceptual developments of linear algebra, on an even grander scale.

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