Gauss-Jordan Method for Calculating Inverse
by Joe McDonald

Hints Rules Practice Examples

STEP

AUTOMATIC MATRIX

ROW OPERATION

STEP 1

  ROW

Enter matrix in green(teal) area. Do indicated step. Calculation will appear in table below.

STEP 2

ROW ROW

STEP 3

ROW ROW

STEP 4

  ROW

STEP 5

ROW ROW

step6

ROW ROW

STEP 7

  ROW

STEP 8

ROW ROW

STEP 9

ROW ROW

The inverse is highlighted in green (teal):

If you multiply the original matrix by its inverse the product is :


HINTS

  You must use decimal equivalents for this form.


RULES

*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.

Image181.gif (1140 bytes)

Operation 2

Multiply an equation (row) by a nonzero number

Image176.gif (987 bytes)

Operation 3

Add Rows:  change an equation (row) by adding to it a multiple of another equation (row)

Image177.gif (1043 bytes)


PRACTICE EXAMPLE

Tutorials and Applets by
Joe McDonald
Community College of Southern Nevada