Using the Gauss-Jordan method solve :

Question

x + 5y - z = -4
3y - z = -1
-3x + 6y + 2z = 11

Answer 1

Given equations are x  + 5y  - z  = -4 ---> (1)

3y  - z  = -1 ---> (2)

-3x  + 6y  + 2z  = 11 ---> (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 :