Answer to Question #243217 in Electrical Engineering for Alock kumar

Question

Find the approximation of the jaobi's method and gauss-seidel method for the following linear system, using 𝑥(0) = 0 :

10𝑥1 - 𝑥2 = 9,

-𝑥1+10𝑥2 - 2𝑥3 = 7,

-2𝑥2 + 10𝑥3 = 6.

Answer 1

To begin, solve the 1st equation for , the 2nd equation for and so on to obtain the rewritten equations:

We can apply the Jacobi method of iteration as follows: