Solving system of linear equation by Gaussian elimination

Question

Reza Selim 2011-8-14

2
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https://ww2.mathworks.cn/matlabcentral/answers/13667-solving-system-of-linear-equation-by-gaussian-elimination

回答： shitao You 2019-10-4

How I can get the solution of system of linear equation by Gaussian elimination in MATLAB ?

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Answer 1

Andrei Bobrov 2011-8-14

1
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https://ww2.mathworks.cn/matlabcentral/answers/13667-solving-system-of-linear-equation-by-gaussian-elimination#answer_18662

在 MATLAB Online 中打开

variant solution of system A*x = B, eg:

A= randi([-23 907],5)
B = randi([-23 907],5,1)
c = [A B];
[m,n] = size(c);
rezc = cell(m,1);
for j1 = 1:m
    [Y,ind] = sortrows(abs(c(j1:end,j1:end)),1);
    c(j1:end,j1:end) = c(j1-1+flipud(ind),j1:end);
    c1 = c(:,j1)*ones(1,n);
    c1(j1,:) = zeros(1,n);
    c2 = (ones(m,1)*c(j1,:)/c(j1,j1));
    c(j1,:) = c2(j1,:);
    c = c - c2.*c1;
    rezc{j1} = c;
end
x = c(:,end)
rezc{:} % so rrefmovie