<Dl> <Dd> (1 − 1 2 8 0 0 − 1 − 11 0 2 − 1 − 3) (\ displaystyle \ left ((\ begin (array) (ccc c) 1& - 1&2&8 \ \ 0&0& - 1& - 11 \ \ 0&2& - 1& - 3 \ end (array)) \ right)) </Dd> </Dl> <Dd> (1 − 1 2 8 0 0 − 1 − 11 0 2 − 1 − 3) (\ displaystyle \ left ((\ begin (array) (ccc c) 1& - 1&2&8 \ \ 0&0& - 1& - 11 \ \ 0&2& - 1& - 3 \ end (array)) \ right)) </Dd> <P> The system that results from pivoting is as follows and will allow the elimination algorithm and backwards substitution to output the solution to the system . </P> <Dl> <Dd> (1 − 1 2 8 0 2 − 1 − 3 0 0 − 1 − 11) (\ displaystyle \ left ((\ begin (array) (ccc c) 1& - 1&2&8 \ \ 0&2& - 1& - 3 \ \ 0&0& - 1& - 11 \ end (array)) \ right)) </Dd> </Dl>

What does it mean to have a pivot in every row