Solve using the Gauss-Jordan elimination method

Question

X + 2y + z = 5 

2x –y + z = -5 

-3x + y -2z = 8 


How would you solve this, can someone please give me the answer and also show me how you did it, because i have a test tomorrow and i need to know how to do this.

Answer 1

Given equations are x + 2y + z = 5 ---> (1)

2x - y + z  = -5 ---> (2)

-3x + y -2z  = 8 ---> (3)

Convert the equations in to matrix form.

AX = D

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

From Guass-jordan method

The augmented matrix is [AD ]

  are represents first row ,second row and third row .

 

Solution x = 2 , y = 4 , z = -5.