Question

Using Matlab's FUNCTION FILE

Solve this system of equations using Gauss Elimination in MATLAB by writing a Function file.

10y + z = 2

x + 3y – z = 6

2x + 4y + z = 5

Could you also provide me with a copiable function file of Matlab and the associated screenshot. Thank you!

Answer 1

function C = gauss_elimination(A,B)

A= [ 0 1 2; 10 3 4; 1 -1 1]

B = [-2; 6; 5]

    i = 1;

    X = [ A B ];

    [ nX mX ] = size( X);

    while i <= nX

        if X(i,i) == 0

            disp('Diagonal element zero')

            return

        end

        X = elimination(X,i,i);

        i = i +1;

    end    

    C = X(:,mX);

function X = elimination(X,i,j)

[ nX mX ] = size( X);

a = X(i,j);

X(i,:) = X(i,:)/a;

for k =  1:nX

    if k == i

        continue

    end

    X(k,:) = X(k,:) - X(i,:)*X(k,j);

end

As per the matrix a₁,a₂,a₃ ; b₁,b₂,b₃ you can change the values of matrix A(coefficient matrix) and matrix B(result matrix) and get any equation solved.