Matrices 207
The reduced row echelon
matrix gives the solution to
the linear equation in the
fourth column.
An advantage of using the RREF function is that it will
also work with inconsistent matrices resulting from
systems of equations which have no solution or infinite
solutions.
For example, the following set of equations has an infinite
number of solutions:
The final row of zeros in the
reduced-row echelon form
of the augmented matrix
indicates an inconsistent
system with infinite
solutions.
xyz–+ 5
2xy– 7
x 2y– z+ 2
=
=
=