

J. Gauss: 17771855 
M. Jordan: 18381922 
GAUSS / JORDAN (G / J) is a device to solve systems of (linear) equations.
Given a system of equations, a solution using G / J follows these steps:
[1] 

[2] 

[3] 

Note 1:  It is possible to vary the GAUSS/JORDAN method and still arrive at correct solutions to problems. For example, the pivot elements in step [2] might be different from 11, 22, 33, etc. Also, it is possible to use row operations which are not strictly part of the pivoting process. Students are nevertheless encouraged to use the above steps [1][2][3]. 
Note 2: 
Professor M^{c}Farland names
row operations just a bit
differently from our text: follow Prof M^{c}Farland's naming style. 
Note 3: Compare the steps of G / J with those for finding < a href="inverse.htm">matrix inverses.
One simple example of G/J row operations is offered immediately above the
pivoting reference; an example is below: 

















To check your pivot calculations, try the PIVOT ENGINE. 
