 Each row will have formula_27 column with value formula_27, formula_30 columns with coefficients formula_26, and the remaining columns with some other coefficients (these other variables represent our non-basic variables).By setting the values of the non-basic variables to zero we ensure in each row that the value of the variable represented by a formula_27 in its column is equal to the formula_33 value at that row.Conversely, given a basic feasible solution, the columns corresponding to the nonzero variables can be expanded to a nonsingular matrix.