use the Gauss-Jordan elimination to solve the following system of equations.

Question

x+y+z=2
2x-3y+z=-11
-x+2y-z=8

Answer 1

Given equations x + y + z  = 2 ---> (1)

2x - 3y + z  = -11 ---> (2)

- x + 2y - z  = 8 ---> (3)

Write the equations into matrix form AX = D .

A  is coefficient matrix , X  is variable matrix and D  is Constant matrix.

The augmented matrix is [AD ]

  are represents first row ,second row and third row .

Solution :