Gauss-Jordan Method for Calculating Inverse
by Joe McDonald
STEP |
AUTOMATIC MATRIX |
ROW OPERATION |
NaN means Not a Number. You must enter numbers only and leave no empty cells.
Keep a calculator handy since this form does not handle fractions well. If you are trying to make 4 into 1, multiply by .25 etc... You may not be able to get a 1 exactly. 1.01 is close enough.
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.
You must use decimal equivalents for this form.
*Operation 1 is not permitted when using this form.
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) |
Start with Example 1 on page 94
Try this or
Tutorials and Applets by
Joe McDonald
Community College of Southern Nevada