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The right of the column with the leading entry of any preceding row. 3. If a column contains the leading entry of some row, then all entries of that column below the leading entry are 0. reduced row echelon: the same conditions but also 4. If a column contains the leading entry of some row, then all the other entries of that column are 0. 5. The leading entry of each nonzero row is 1. 2. When transforming a matrix into the reduced row echelon form, we are only allowed to perform elementary row.

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