HP Prime Graphing NW280AAABA manual + y z = 5 2x y = 2y + z =

which can then be stored as a 3 × 4 real matrix in any matrix variable. M1 is used in this example.

You can then use the RREF function to change this to reduced-row echelon form, storing it in any matrix variable. M2 is used in this example.

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:

x + y – z = 5 2x – y = 7

x – 2y + z = 2

The final row of zeros in the reduced-row echelon form of the augmented matrix indicates an inconsistent system with infinite solutions.

Matrices 487