... form by a process in steps. The first step is applied to and c b. The -th step is applied to rows of and c and produces and c . The last stepproduces and c c. Initially, the “pivot column index” ... -1/1 from row 3. When applied to both and c this yields, cNotice that now ( ) the entries are zero for , for both and ,so is set to 3: the secondpivot column is column 3, and is nonzero, so no ... from row 3 for both and c to yield, c cThere is one zero row in the left-hand side, and the rank of and that of is , the number of nonzero rows.The residual system is (compatible), and , so...