The sub-indices in the variable names X, Y, and Z, determine to which
equation system they refer to.
following procedure, in RPN mode,
The result of this operation is:
Gaussian and Gauss-Jordan elimination
Gaussian elimination is a procedure by which the square matrix of coefficients
belonging to a system of n linear equations in n unknowns is reduced to an
upper-triangular matrix (echelon form) through a series of row operations.
This procedure is known as forward elimination.
coefficient matrix to an upper-triangular form allows for the solution of all n
unknowns, utilizing only one equation at a time, in a procedure known as
Example of Gaussian elimination using equations
To illustrate the Gaussian elimination procedure we will use the following
system of 3 equations in 3 unknowns:
We can store these equations in the calculator in variables E1, E2, and E3,
respectively, as shown below. For backup purposes, a list containing the
three equations was also created and stored into variable EQS. This way, if a
mistake is made, the equations will still be available to the user.
To solve this expanded system we use the
2X +4Y+6Z = 14,
3X -2Y+ Z = -3,
4X +2Y -Z = -4.
The reduction of the