How can I fix this problem

I am trying to get a normalized matrix.

 A=[1 1 2 4 7 1;0 2 2 1 3 9;
    1 2 1 1 1 9;1 3 0 1 4 1];
R=size (A,1); % Row
C=size (A,2); % Column
for i=1:C
N=A(:,i)/sqrt(sum(A(:,i).^2));
S(i,:)=N
end

I do not get a right rows, then I tried a transpose and it does not work "nothing change".

Answer 1

[the cyclist]

When you say "normalized", what specifically do you mean?

The way you did it, your result is such that

sum(S.^2,2)

is a column vector of 1's, which is a form of normalization.

[fs]

 X^=(X)/(|X|)
 |X| norm of the vector. The norm here is the second norm.

I am trying to implement this equation

[fs]

I used this build in function for normalization a=normc(A) and I got the right answer. However, I just started learning Matlab so I want to train myself for the for loop.

[the cyclist]

Well, the rows of S have the correct normalization. You are overwriting N during each iteration of the for loop. So, this would have worked:

A=[1 1 2 4 7 1;0 2 2 1 3 9;
    1 2 1 1 1 9;1 3 0 1 4 1];
R=size (A,1); % Row
C=size (A,2); % Column
for i=1:C
N(:,i)=A(:,i)/sqrt(sum(A(:,i).^2));
S(i,:)=N(:,i)
end

You can also avoid the for loop completely:

A=[1 1 2 4 7 1;0 2 2 1 3 9;
   1 2 1 1 1 9;1 3 0 1 4 1];
N = A./sqrt(sum(A.^2));