Estimating vector scalars to approach another vector

Question

I have three vectors scaled by a, b and c respectively. How can I get an estimation of a, b and c so that the sum of the vectors is closest to a fourth vector?

Answer 1

Use Numpy. The solve() function is what you are looking for.

import numpy as np

from numpy.linalg import solve

A = np.array([[4,11,9],[6,5,7],[3,5,9]])
B = np.array([3,8,5])
X = solve(A,B)

print(A)
print(B)
print(X)

The output should be:

[[ 4 11  9]
 [ 6  5  7]
 [ 3  5  9]]
[3 8 5]
[ 1.28723404 -0.54787234  0.43085106]