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Many of the problems you will solve in linear algebra require that a matrix be converted into one. Web example the matrix is in reduced row echelon form. Row reduce the matrix a below to echelon form, and locate the pivot columns of a. Web understanding row echelon form and reduced row echelon form; What is a pivot position and a pivot column?. Web instead of gaussian elimination and back substitution, a system of equations can be solved by bringing a.