Gauss-Jordan Elimination (Example 1)
------------------------------------

The augmented matrix appears below:

 1 	 1 	 2 	 0 	
 3 	 1 	 2 	 2 	
 2 	-2 	 1 	-6 	

Matrix number 1 appears below:

 1 	 1 	 2 	 0 	
 0 	-2 	-4 	 2 	
 2 	-2 	 1 	-6 	

Matrix number 2 appears below:

 1 	 1 	 2 	 0 	
 0 	-2 	-4 	 2 	
 0 	-4 	-3 	-6 	

Matrix number 3 appears below:

 1 	 1 	 2 	 0 	
 0 	 1 	 2 	-1 	
 0 	-4 	-3 	-6 	

Matrix number 4 appears below:

 1 	 0 	 0 	 1 	
 0 	 1 	 2 	-1 	
 0 	-4 	-3 	-6 	

Matrix number 5 appears below:

 1 	 0 	 0 	 1 	
 0 	 1 	 2 	-1 	
 0 	 0 	 5 	-10 	

Matrix number 6 appears below:

 1 	 0 	 0 	 1 	
 0 	 1 	 2 	-1 	
 0 	 0 	 1 	-2 	

Matrix number 7 appears below:

 1 	 0 	 0 	 1 	
 0 	 1 	 0 	 3 	
 0 	 0 	 1 	-2 	


Gauss-Jordan Elimination (Example 2)
------------------------------------

The augmented matrix appears below:

 2 	-6 	 4 	 14 	
 1 	-3 	 5 	 22 	
 3 	-8 	 2 	 3 	

Matrix number 1 appears below:

 1 	-3 	 2 	 7 	
 1 	-3 	 5 	 22 	
 3 	-8 	 2 	 3 	

Matrix number 2 appears below:

 1 	-3 	 2 	 7 	
 0 	 0 	 3 	 15 	
 3 	-8 	 2 	 3 	

Matrix number 3 appears below:

 1 	-3 	 2 	 7 	
 0 	 0 	 3 	 15 	
 0 	 1 	-4 	-18 	

Matrix number 4 appears below:

 1 	-3 	 2 	 7 	
 0 	 1 	-4 	-18 	
 0 	 0 	 3 	 15 	

Matrix number 5 appears below:

 1 	 0 	-10 	-47 	
 0 	 1 	-4 	-18 	
 0 	 0 	 3 	 15 	

Matrix number 6 appears below:

 1 	 0 	-10 	-47 	
 0 	 1 	-4 	-18 	
 0 	 0 	 1 	 5 	

Matrix number 7 appears below:

 1 	 0 	 0 	 3 	
 0 	 1 	-4 	-18 	
 0 	 0 	 1 	 5 	

Matrix number 8 appears below:

 1 	 0 	 0 	 3 	
 0 	 1 	 0 	 2 	
 0 	 0 	 1 	 5