Help me with the Gauss Jordan Method:

Question

I am so confused. 

x + y - 4z = 10 
2x - 3y + z = 7 
3x - y - z = 12 

Answer 1

Gauss Jordan Method

The equations are x  + y  - 4z  = 10 ---> (1)

2x - 3y + z  = 7 ---> (2)

3x  - y  - z  = 12 ---> (3)

Write the equations into matrix form AX  = D.

A  is Coefficient matrix , X  is Variable matrix and D  is constant matrix.

Now we solve the equations in Gauss-Jordan method.

The augmented matrix is [AD ]

  are represents first row ,second row and third row .

 

Solution x  = 3, y  = -1 and z  = -2.