Question

solve the following system of equations using

(i) Gauss - Jacobi iterative technique
(ii) Gauss - Seidel iterative technique

10x - 5y -2z = 3
4x -10y + 3z =-3
x + 6y + 10z = -3

Answer 1

any idea for solving this ??

Answer 2

Hello, Alooy! I'm very familiar with the Gauss-Jordan method, in case you're interested. The two other methods you've mentioned are probably just variations of Gauss-Jordan. Would it help you at all if I led you through the Gauss-Jordan method to solve this system of linear equations?

Answer 3

yeah plz can u led me through it
@mathmale

Answer 4

Please make up an "augmented matrix" by taking all of the coefficients of this system of linear equations

10x - 5y -2z = 3
4x -10y + 3z =-3
x + 6y + 10z = -3

For example, the first row of this "augmented matrix" would be 10 -5 -2 3.

Have you done this before?

Answer 5

actually i dont remember :(

Answer 6

What course are you in? Are you in India or in the USA?

Answer 7

im in malaysia
actually i took leave from classes like tow weeks Illness and i just come back yesterday
and im lost now

Answer 8

im doing electrical and electronic of engineering

Answer 9

OK, Alooy, let's try solving that system of linear equations using the Gauss-Jordan method. Unfortunately, there are a lot of steps involved. For whatever it's worth I'd like to lead you through the solution and then answer any questions about the process.

Answer 10

okay sure

Answer 11

Given the system

10x - 5y -2z = 3
4x -10y + 3z =-3
x + 6y + 10z = -3

Please write / draw the "augmented matrix" by taking the 12 coefficients (without the variables x, y and z):

10 -5 -2 3
4 -10 3 -3

Would you please complete this by copying these first two rows and writing in the third row.

Answer 12

10 -5 -2 3
4 -10 3 -3
1 6 10 -3

Answer 13

Good. Now imagine you have square brackets enclosing this 3-row, 4-column matrix.
Your matrix should look like this (not finished):