Question

first solve by hand then using MATLAB and include the code

3. (All students!) Find the exact solution to the problem 4x, x2 +2x 4 xi +x2 +4x3=-1 Now use MATLAB to solve this system iteratively, using the Jacobi iteration method.

Answer 1

`Hey,

Note: Brother in case of any queries, just comment in box I would be very happy to assist all your queries

clc
clear all
N=25;
tol=1e-5;
k=1;
A=[4,1,2;1,3,1;1,1,4];
b=[4;6;-1];
x=[0 0 0]';
n=size(x,1);
normVal=Inf;
%%
% * _*Tolerence for method*_
tol=1e-5; itr=0;
%% Algorithm: Jacobi Method
%%
while normVal>tol
xold=x;
  
for i=1:n
sigma=0;
  
for j=1:n
  
if j~=i
sigma=sigma+A(i,j)*x(j);
end
  
end
  
x(i)=(1/A(i,i))*(b(i)-sigma);
end
  
itr=itr+1;
normVal=abs(xold-x);
end
%%
disp('The solution is');
disp(x);

Note: Brother according to HOMEWORKLIB RULES we are only allowed to answer first part if there are many. So, I request you to post other part as separate posts.

Kindly revert for any queries

Thanks.