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428
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.
x
+
y z
–
=
5
2x y
–
=
7
x 2y
–
+
z
=
2
Matrices
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