Gauss-Jordan Elimination
by Joe McDonald
NaN means Not a Number. You must enter numbers only and leave no empty cells.
You can use fractions. Multiple 3 by 1/3 to get 1. Multiply 2/3 by 3/2 to get 1. No mixed fractions like 3 2/3.
If you don't need to change an element just click No Action Required.
One way to always get a 1 is to multiply that row by the reciprocal of that number.
You must use decimal equivalents for this form.
One way to always get a 0 is to multiply a row with a 1 by the additive inverse of the number you want to make 0.
It will convert decimals into fracions automatically.
Operation | Rule | Symbols |
Operation 1 |
Swap Rows: You can rearrange the equations (rows) in any order. | |
Operation 2 |
Multiply an equation (row) by a nonzero number | |
Operation 3 |
Add Rows: change an equation (row) by adding to it a multiple of another equation (row) |
Try the exercises 19 - 23 on page 60. This form works for 3 equations with 3 variables.
Try this First convert to augmented matrix form
There are 2 different levels to use this form.
Beginning: This is the default level. The row operations are pre-defined. The user only needs to supply the numbers (multiples) for each row operation.
Advanced: The user needs to supply the ROW numbers and the numbers (multiples) for each row operation.
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