Question

solve by gauss-jacobi iterative method.
10x+y+z=12,2x+10y+z=13,2x+2y+10z=14​

Answer 1

Step-by-step explanation:

hope it helped you to some extent

thanls

Answer 2

Answer:

$x=1\\y=1\\z=1$

Step-by-step explanation:

TO FIND:  

        solving the equations  by gauss-jacobi iterative method.

       

GIVEN:

      $10x+y+z=12,---(1)\\2x+10y+z=13,---(2)\\2x+2y+10z=14-----(3)$

Solving (1) and (2) equations

                 $10x+y+z=12,---(1)\\2x+10y+z=13,---(2)\\\\8x-9y=-1\\8x=9y-1\\x=\frac{9y-1}{8} -----(4)$

    Solving (2) and (3) equations

                  $\\2x+10y+z=13,---(2)\\2x+2y+10z=14-----(3)\\8y-9z=-1\\9z=1+8y\\z=\frac{1+8y}{9} -----(5)$

   Substituting x and y values in the equation (1)

    $10(\frac{9y-1}{8}) +y+(\frac{1+8y}{8} )=12,$

     $450y-45+36y+4+32y=432\\ \\473y=473\\\\y=1$

Substituting the y value in equation (4) and (5)

    $x=\frac{9(1)-1}{8} =1\\z=\frac{1+8(1)}{9} =1$

$x=1\\y=1\\z=1$

The project code is #SPJ2