How to display answer for partial pivoting for Gauss Elimination method
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So i am trying to write a code that uses gauss elimiination method through partial pivoting,I was able to get my answers but wasnt sure on how to display my Upper triangular matrix(partial pivoting).Here is my code
A=[8 7 1 0;5 2 -2 2;2 5 1 -2;0 5 -3 1];
b=[22 12 8 5];
n = size(A,1); % Calculating number of equations
A(:,n+1)=b % Creating the augmented matrix
A0 = A
% Elimination process starts
for i = 1:n-1
    p = i
    % Comparison to select the pivot
    for j = i+1:n
        if abs(A0(j,i)) > abs(A0(i,i))
            U = A0(i,:)
            A0(i,:) = A0(j,:)
            A0(j,:) = U      
        end
    end
    % Cheking for nullity of the pivots
    while (A0(p,i)== 0 && p <= n)
        p = p+1
    end
    if p == n+1
        disp('No unique solution');
        break
    else
        if p ~= i
            T = A0(i,:)
            A0(i,:) = A0(p,:)
            A0(p,:) = T
        end
    end
    for j = i+1:n
        m = A0(j,i)/A0(i,i)
        for k = i+1:n+1
            A0(j,k) = A0(j,k) - m*A0(i,k)
        end
    end
end
disp(A0)
x(n) = A0(n,n+1)/A0(n,n)
for i = n - 1:-1:1
    sumax = 0
    for j = i+1:n
        sumax = sumax + A0(i,j)*x(j)
    end
    x(i) = (A0(i,n+1) - sumax)/A0(i,i)
end
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답변 (1개)
  Sai Sumanth Korthiwada
    
 2022년 12월 20일
        Hi Idris,
I understand that you are trying to display the upper triangular matrix using partial pivoting with Guass elimination method.
Please go through the following MATLAB Answer Accepted answer to know how 'Upper triangular matrix' is being displayed:
Hope this helps resolves your query.
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