Weighted linear combination between vectors

Hello,

I have a matrix W 32x4. I made the linear combinations of all its column vectors, considering all the possible pairs and triples.

Example:

w1=[1 2 3] w2=[4 5 6] Combination_vector=[5 7 9]. I ideally considered my scalar coefficient as 1. (given the formula C=[aw1+bw2]

I want to now find a vector C that is the weighted linear combination of my vectors

How can I implement it?

Thank you!

Answer 1

[Matt J]

weights=[1 2 3 4];

C=W*weights(:);

Answer 2

[Torsten]

weights = [0.25 0.25 0.25 0.25];
C = weights(1)*W(:,1) + weights(2)*W(:,2) + weights(3)*W(:,3) + weights(4)*W(:,4);