How can I use the Modified Gram Schmidt code below
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function [Q,R]=mgs(A)
[m,n]=size(A);
V=A;
Q=zeros(m,n);
R=zeros(n,n);
for i=1:n
R(i,i)=norm(V(:,i));
Q(:,i)=V(:,i)/R(i,i);
for j=i+1:n
R(i,j)=Q(:,i)'*V(:,j);
V(:,j)=V(:,j)-R(i,j)*Q(:,i);
end
end
to nu- merically orthogonalize basis functions 1, x, x2, x3, x4, · · · , xn on interval [−1, 1]. In dis- crete sense, those basis functions can be sampled on m equally spaced points on [−1, 1]. and to plot resulting orthogonalized basis on [−1, 1].
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