what is meaning of three zeros in row for matrix in algebra

Question

in reduced echolen matrix , what is the meaning ofhaving three zeros in oneof the row as part of solution

Answer 1

If the matrix is being used to solve a system of equations it implies that there will be no solution because there are insufficient equations. The determinant of the matrix is zero, and Cramer's Rule (for example) requires division by the determinant to evaluate the unknowns, which would create division by zero which is not permitted.