Solve the following systems of equation using operations on the augmented matrix x-3y+2z=12 2x-5y+5z=14 -x+2y-3z=-20?

Answer 1

Given equations are x  - 3y  +2z  = 12 ---> (1)

2x -5y + 5z  = 14 ---> (2)

-x  + 2y  - 3z  = -20 ---> (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 .

The system is inconsistent .

A row reduced matrix has row of zeros on the left side, but the right hand side isn't zero .

There is no solution.