Matlab matrix division into python [duplicate]

Question

I'm so confused with the right division in matlab.

m = [1 2 3 4 ; 5 6 7 8]
x = m/sum(m)

x = 
0.2907
0.7093

I don't know how matlab gets this result, obviously x * sum(m) is not equal to m, and how to do this in python?

Answer 1

Since you are not using the element-wise division, the operation you are performing equals to solving xA = B for x where A = m and B = m_sum (see mrdivide):

m = [1 2 3 4; 5 6 7 8];
m_sum = sum(m);
x = m / m_sum;

which can also be written as:

m = [1 2 3 4; 5 6 7 8];
m_sum = sum(m);
x = mrdivide(m,m_sum);

The Python equivalent, using the Numpy library, would be:

import numpy as np

m = np.matrix('1 2 3 4; 5 6 7 8')
m_sum = np.sum(m, axis=0)
x = np.dot(m, np.linalg.pinv(m_sum))