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A matrix is in '''row echelon form''' if
* All rows having only zero entries are at the bottom.<ref>Phrased in terms
* The [[leading entry]] (that is, the left-most nonzero entry) of every nonzero row, called the '''pivot''', is on the right of the leading entry of every row above.<ref>{{harvtxt|Leon|2010|p=13}}:"A matrix is said to be in <strong>row echelon form</strong> ... (ii) If row {{mvar|k}} does not consist entirely of zeros, the number of leading zero entries in row <math>k + 1</math> is greater than the number of leading zero entries in row {{mvar|k}}."</ref>
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