Gauss-Jordan Elimination
by Joe McDonald

Hints Rules Practice Examples

STEP

AUTOMATIC MATRIX

OPERATION MODE   Explanation of Mode

STEP 1

  ROW

Enter matrix.  Do indicated step. Calculation will appear in table below.

Swap ROW with ROW

STEP 2

ROW ROW

Swap ROW with ROW

STEP 3

ROW ROW

Swap ROW with ROW

STEP 4

  ROW

Swap ROW with ROW

STEP 5

ROW ROW

Swap ROW with ROW

STEP 6

ROW ROW

Swap ROW with ROW

STEP 7

  ROW

Swap ROW with ROW

STEP 8

ROW ROW

Swap ROW with ROW

STEP 9

ROW ROW

Swap ROW with ROW

The solution is highlighted in navy blue.

You can check your answer in the original system.

Check solution in all 3 equations.


HINTS

              You must use decimal equivalents for this form.


RULES

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)


PRACTICE EXAMPLE


Explanation of Mode

There are 2 different levels to use this form.

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