For the following linear equation system; 4𝑥ଵ + 4𝑥ଶ + 𝑥ଷ + 𝑥ସ = 11 2𝑥ଵ + 𝑥ଶ + 2𝑥ଷ − 2𝑥ସ = 2 𝑥ଵ + 𝑥ଶ + 𝑥ଷ − 𝑥ସ = 2 𝑥ଵ − 𝑥ଶ − 𝑥ଷ + 2𝑥ସ = 0 a) Draw the flow chart

function x = solveEquations()

% Coefficient matrix

A = [4 4 1 1; 2 1 2 -2; 1 1 1 -1; 1 -1 -1 2];

% Right-hand side vector

b = [11; 2; 2; 0];

% Augmented matrix

Ab = [A, b];

% Number of equations

n = size(A, 1);

% Forward elimination

for k = 1:n-1

for i = k+1:n

factor = Ab(i,k) / Ab(k,k);

Ab(i,:) = Ab(i,:) - factor * Ab(k,:);

end

end

% Back substitution

x = zeros(n, 1);

x(n) = Ab(n, n+1) / Ab(n, n);

for i = n-1:-1:1

x(i) = (Ab(i, n+1) - Ab(i,i+1:n) * x(i+1:n)) / Ab(i,i);

end

end

Answer 1

[sondos]

function x = solveEquations()

% Coefficient matrix

A = [4 4 1 1; 2 1 2 -2; 1 1 1 -1; 1 -1 -1 2];

% Right-hand side vector

b = [11; 2; 2; 0];

% Augmented matrix

Ab = [A, b];

% Number of equations

n = size(A, 1);

% Forward elimination

for k = 1:n-1

for i = k+1:n

factor = Ab(i,k) / Ab(k,k);

Ab(i,:) = Ab(i,:) - factor * Ab(k,:);

end

end

Sure, I can help you with that. Here is the MATLAB code for solving the given linear equation system using the Gaussian elimination method:

% Back substitution

x = zeros(n, 1);

x(n) = Ab(n, n+1) / Ab(n, n);

for i = n-1:-1:1

x(i) = (Ab(i, n+1) - Ab(i,i+1:n) * x(i+1:n)) / Ab(i,i);

end

end