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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. | ||
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| + | == '''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
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
