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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. | ||
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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. | ||
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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 22:35, 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.
