Python Matrix multiplication

Question

how can I create two python functions that will demonstrate associative property and distributive property of matrix. I am given S,Q,R and P.

𝑄(𝑅𝑇)=(𝑄𝑅)𝑇 and (𝑆+𝑈)𝑃=𝑆𝑃+𝑈𝑃

the functions should return 2 matrices, 2d numpy arrays.

Answer 1

import numpy as np

Q=np.array([[1,2],[3,4]])

R=np.array([[5,6],[7,8]])

T=np.array([[9,10],[11,12]])

def associative(Q,R,T):

l_h_s = Q*(R*T)

r_h_s= (Q*R)*T

return (l_h_s, r_h_s)

def distributive(Q,R,T):

l_h_s= (Q+R)*T

r_h_s = Q*R + R*T

return (l_h_s,r_h_s)

print(associative(Q, R, T))

print(distributive(Q, R, T))