MATLAB Answers

## Weighted linear combination between vectors

Asked by Paola

### Paola (view profile)

on 4 Sep 2019
Latest activity Edited by Matt J

### Matt J (view profile)

on 4 Sep 2019
Accepted Answer by Matt J

### Matt J (view profile)

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!

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## 2 Answers

Answer by Matt J

on 4 Sep 2019
Edited by Matt J

### Matt J (view profile)

on 4 Sep 2019
Accepted Answer

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

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### Torsten (view profile)

Answer by Torsten

### Torsten (view profile)

on 4 Sep 2019
Edited by Torsten

### Torsten (view profile)

on 4 Sep 2019

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);

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