Normalization of a matrix to a particular value

I have a 12x4 matrix with four of its elements having value of 1 and with remaining elements having value less than 1. I want to normalize in it a way that the elements corresponding to 1 have value of 0.125 and the remaining elements are less than 0.125. I am normalizing it as follows:

a = a .* sqrt(0.125); %a is 12x4 matrix

However, the elements corresponding to 1 are still not 0.125. I would be thankful if anyone has any idea on this kind of normalization problem.

Answer 1

[Guillaume]

a = a .* sqrt(0.125); However, the elements corresponding to 1 are still not 0.125.

I predict that your elements corresponding to 1 are exactly equal to sqrt(0.125). If you want them to be 0.125, then multiply them by 0.125 not its square root.

a = a .* 0.125;