In dictionaries:
row echelon form
(linear algebra) The stepped appearance of a matrix that has undergone Gaussian elimination with the result that the leading coefficient or pivot (that is, the first nonzero number from the left) of a nonzero row is to the right of the pivot of the row above it.
reduced row echelon form
(linear algebra) The form of a row-reduced matrix which is in row echelon form.
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