<Dd> (1 3 − 1 0 1 7) → add row 2 to row 1 (1 4 6 0 1 7). (\ displaystyle (\ begin (bmatrix) 1&3& - 1 \ \ 0&1&7 \ \ \ end (bmatrix)) (\ xrightarrow (\ text (add row 2 to row 1))) (\ begin (bmatrix) 1&4&6 \ \ 0&1&7 \ \ \ end (bmatrix)).) </Dd> <P> However, every matrix has a unique reduced row echelon form . In the above example, the reduced row echelon form can be found as </P> <Dl> <Dd> (1 3 − 1 0 1 7) → subtract 3 × (row 2) from row 1 (1 0 − 22 0 1 7). (\ displaystyle (\ begin (bmatrix) 1&3& - 1 \ \ 0&1&7 \ \ \ end (bmatrix)) (\ xrightarrow (\ text (subtract 3 × (row 2) from row 1))) (\ begin (bmatrix) 1&0& - 22 \ \ 0&1&7 \ \ \ end (bmatrix)).) </Dd> </Dl> <Dd> (1 3 − 1 0 1 7) → subtract 3 × (row 2) from row 1 (1 0 − 22 0 1 7). (\ displaystyle (\ begin (bmatrix) 1&3& - 1 \ \ 0&1&7 \ \ \ end (bmatrix)) (\ xrightarrow (\ text (subtract 3 × (row 2) from row 1))) (\ begin (bmatrix) 1&0& - 22 \ \ 0&1&7 \ \ \ end (bmatrix)).) </Dd>

What is the difference between reduced row echelon and row echelon