Write a MATLAB function that solves a system of linear equations or calculates t

Question

Write a MATLAB function that solves a system of linear equations or calculates the inverse of a matrix by Gauss-Jordan elimination.Your function should accept a matrix as an argument and return a matrix of the same dimension.

Note: Your function should be written to handle matrices of any size. Test your function with matrices of different sizes for which you know the solution to ensure that your function works correctly. Use variable names that relate to their function and include comments that explain your program logic. Do not use any built-in MATLAB functions except size(), input(), and zeros().

****WILL RATE****

Explanation / Answer

function [y]=gauss_jordan(A)
a=A;
[m n]=size(A);
for i=1:m-1
if a(i,i)==0
  
flag=0;
j=i+1;
while flag==0 && j<=m
if a(j,i)~=0
flag=1;
temp=a(j,:);
a(j,:)=a(i,:);
a(i,:)=temp;
end
end
end
end
  

for i=1:m
for j=1:m
if j==i || a(j,i)==0
continue;
else
ratio=a(i,i)/a(j,i);
a(j,:)=a(i,:)-ratio*a(j,:);
end
end

end

for i=1:m
a(i,:)=a(i,:)/a(i,i);
end
y=a;
end

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