AAE-NA-Labs/Direct Methods for Solving Linear Systems/Alg5.m

21 lines
391 B
Matlab

function A = Alg5(A)
% Algorithm 5: Gauss-Jordan Elimination
% A = Alg5_gauss_jordan_elimination(A) performs Gauss-Jordan elimination
% on an augmented matrix A.
[m, ~] = size(A);
for k = 1 : m
row = A(k, :);
row = row/row(k);
A(k, :) = row;
for i = 1 : m
if i ~= k && A(i, k) ~= 0
A(i, :) = A(i, :)-(A(i, k))*row;
end
end
end
end