Question

Take any system of 3x3 matrix equation which is linear

Solve the system using generic algorithm for the Gauss Seidel method

The code must take the matrix input by the user

It should be solvable for any nxn system

Give only a working proper MATLAB code

if you dont know do not answer or i will dislike badly

compare with original solution and then break.

Answer 1

The MATLAB CODE is shown, it works for all inputs

A sample solution is shown

clc;clear all
%takes a sample matrix and solves the system AX=B
a=[9 -2 3 2;2 8 -2 3;-3 2 11 -4;-2 3 2 10]; %%Sample matrix A
b=[54.5;-14;12.5;-21]; %%RHS vector
ans1=GaussSeidelm(a,b) %%Function call
function X=GaussSeidelm(A,B) %%Function implementing GS method
[r c]=size(A); %%Finds dimension
X(1:r,1)=0; %%Initialises to 0
k=1;
act=A\B; %%Actual solution
while(true) %%GS method starts till the time loop is true
for(i=1:r)
sum=0;
for(j=1:c)
if(i==j)
continue
end
sum=sum+A(i,j)*X(j,1); %%Sums all elements
end
X(i,1)=(B(i)-sum)/A(i,i);
end
if(act-X<=0.0001)
break %breaks if error is less
end
end
end

1 - w N 3 - 4- 5 - 6 7 - 8 9- 0 - 1 - 2- 3 - clc;clear all Stakes a sample matrix and solves the system AX=B a=[9 -2 32;2 8 -2 3;-3 2 11 -4;-2 32 10]; %% Sample matrix A b=[54.5; -14;12.5; -21]; %%RHS vector ans1=GaussSeidelm (a,b) Function call function X=GaussSeidelm (A,B) Function implementing GS method [r c]=size (A); Finds dimension X(1:r,1)=0; Initialises to o k=1; act=A\B; Actual solution while(true) %%GS method starts till the time loop is true for(i=1:r) sum=0; for(j=1:c) if(i==j) continue end sum=sum+A(i,j) *X(),1); Sums all elements end x(i,1)=(B(i)-sum)/A(i,i); end if(act-X<=0.0001) break &breaks if error is less end end end - 5 - 6 - 7 - 8 - 9- 0- -- 2 - 3 - -- - HA - O U 6 -

Command Window ans1 5.0001 -2.0000 2.5000 -1.0000 fx >>