help me with this assignment by using MATLAB. Please write your code clearly Due

ID: 3600465 • Letter: H

Question

help me with this assignment by using MATLAB.
Please write your code clearly Due Sun 10/29, 11pm Implement algorithm 6.1 that accomplishes Gaussian elimination with row swap ping INPUTmber of unkoowras n; and the argament matrix A aw OUTPUT: solution Step 1: For i = 1 to n-1 do steps 2-4 Step 2: Let p be the smallest integer with i S PS n and a 0 If no integer p ean be found then outpat('no uniqae solation) STOP Step 3: If P then perform swap the p-th row and l-th row Step 4: For j=i+1 ndosteps 5 and 6 Step 5: Set ''aula“ Step 6: Perform (E-mpEj E, where E, represents jth row or jth equation Step T: If an-0then OUTPUT ('no unique solution exists): STOP Step 8: Set - Step 9: For i-1....1 Set Step 10 OUTPUT (, "z"). STOP Use the above algorit hm to solve the system of equations eri-2+2+21

Explanation / Answer

function C = gauss_elimination(A,B) % defining the function

A= [ 1 2; 4 5] % Inputting the value of coefficient matrix

B = [-1; 4] % % Inputting the value of coefficient matrix

i = 1; % loop variable

X = [ A B ];

[ nX mX ] = size( X); % determining the size of matrix

while i <= nX % start of loop

if X(i,i) == 0 % checking if the diagonal elements are zero or not

disp('Diagonal element zero') % displaying the result if there exists zero

return

end

X = elimination(X,i,i); % proceeding forward if diagonal elements are non-zero

i = i +1;

end

C = X(:,mX);

function X = elimination(X,i,j)

% Pivoting (i,j) element of matrix X and eliminating other column

% elements to zero

[ nX mX ] = size( X);

a = X(i,j);

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

for k = 1:nX % loop to find triangular form

if k == i

continue

end

X(k,:) = X(k,:) - X(i,:)*X(k,j); % final result

end