Answer to Question #327810 in MatLAB for lll

Question

Write a MatLab program to find the value of ×, y and z using Gauss-Elimination method in

the following equations

2x+4y + 2 - 3;

3x+2y - 2z= -2;

x-y+z=6.

Answer 1

%Gauss elimination method [m,n)=size(a);

a=[2 4 2 3

  3 2 -2 2

  1 -1 1 6];

[m,n]=size(a);

for j=1:m-1

  for z=2:m

    if a(j,j)==0

      t=a(j,:);a(j,:)=a(z,:);

      a(z,:)=t;

    end

  end

  for i=j+1:m

    a(i,:)=a(i,:)-a(j,:)*(a(i,j)/a(j,j));

  end

end

x=zeros(1,m);

for s=m:-1:1

  c=0;

  for k=2:m

    c=c+a(s,k)*x(k);

  end

  x(s)=(a(s,n)-c)/a(s,s);

end

disp('Gauss elimination method:');

a

x'

Result:

ans =

  2.8000

  -1.5000

  1.7000

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