Solve the following system of equations by Gauss Jordan method 2x_1+x_2+3x_3=1 ; 4x_1+4x_2+7x_3=1 ; 2x_1+5x_2+9x_3=3

Solve the following system of equations by Gauss Jordan method 2x_1+x_2+3x_3=1 ; 4x_1+4x_2+7x_3=1 ; 2x_1+5x_2+9x_3=3

Question

Question

Solve the following system of equations by Gauss Jordan method 2x_1+x_2+3x_3=1 ; 4x_1+4x_2+7x_3=1 ; 2x_1+5x_2+9x_3=3

Topic

Gauss elimination method, Gauss Jordan method, Gauss Siedal method

Gauss elimination method problems

  1. Solve by Gauss elimination method 2x+y+4z=12; 4x+11y-z=33; 8x-3y+2z=20
  2. Solve the following equations by Gauss elimination method x+2y+z=3; 2x+3y+2z=5; 3x-5y+5z=2
  3. Solve the following system of equations by Gauss elimination method x_1+x_2+x_3+x_4=2; 2x_1-x_2+2x_3-x_4=-5; 3x_1+2x_2+3x_3+4x_4=7; x_1-2x_2-3x-3+2x_4=5;
  4. Solve by Gauss Elimination method x_1-2x_2+3x_3=2 ; 3x_1-x_2+4x_3=4 ; 2x_1+x_2-2x_3=5
  5. Solve by Gauss-Elimination method x+y+z=6; x+2y+3z=10; x+2y+2z=8

 

Gauss Jordan method problems

  1. Solve the following system of equations by Gauss Jordan method x+y+z=8 ; -x-y+2z=-4 ; 3x+5y-7z=14
  2. Solve by Gauss Jordan method the system of linear equation 2x+y+z=10 ; 3x+2y+3z=18 ; x+4y+9z=16
  3. Solve the following system of equations by Gauss Jordan method. x+y+z=9 ; x-2y+3z=8 ; 2x+y-z=3
  4. Solve the following system of equations by Gauss Jordan method 2x_1+x_2+3x_3=1 ; 4x_1+4x_2+7x_3=1 ; 2x_1+5x_2+9x_3=3
  5. Solve by Gauss-Jordan method x+y+z=6; x+2y+3z=10; x+2y+2z=8

 

Gauss Siedal method problems

  1. Solve the system of equation by Gauss Siedal method 83x+11y-4z=95 ; 7x+52y+13z=104 ; 3x+8y+29z=71
  2. Solve the equation by Gauss Siedal method (Carry out 3 Iterations) 20x+y-2z=17 ; 3x+20y-z=-18 ; 2x-3y+20z=25
  3. Solve the equation by Gauss Siedal method 10x+2y+z=9 ; x+10y-z=-22 ; -2x+3y+10z=22

 

Leave a Reply