Please how can i normalize the column of a complex matrix SAY U= [2 + 2i, 3+i; 4+5i , 4 -9i]

Please how can i normalize the column of a complex matrix SAY U= [2 + 2i, 3+i; 4+5i , 4 -9i]

[Anthony Uwaechia]

thanks alot it reall worked. what of if the question is rephrased this way

Make the column of the matrix U normalised to unit L2 norm

how will it be?

Answer 1

[Noam]

U./abs(U)

[Anthony Uwaechia]

hanks alot it reall worked. what of if the question is rephrased this way

Make the column of the complex matrix U normalised to unit L2 norm

how will it be?

[Noam]

L2 norm of each column?

[Noam]

>> U = [2 + 2i, 3+i; 4+5i , 4-9i];
>> UL2 = sqrt(sum(abs((U.^2))));
>> ANS = bsxfun(@rdivide,U,UL2);

Answer 2

[Jennifer Rebbin]

If you're using release R2018a or later, use the normalize function. Here is an example of normalizing by the 2-norm, where U is your matrix of complex data:

N = normalize(U,"norm",2)