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Given the following text description, write Python code to implement the functionality described below step by step
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Description:
 $R$-Module
Doing $R$-module (equipped with Hadamard operators) algebraic operations; addition, multiplication, and element-wise Hadamard operations
Certainly, we'd want to ensure, or at least evince, through examples that we can do the same algebraic operations, addition, multiplication, and some element-wise Hadamard operations (element-wise addition and multiplication).
Step1:  cf. Matrix computations
on the GPU
CUBLAS and MAGMA by example
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Python Code:
import numpy 
import numpy as np
m=6
n=4
k=5
Explanation: $R$-Module
Doing $R$-module (equipped with Hadamard operators) algebraic operations; addition, multiplication, and element-wise Hadamard operations
Certainly, we'd want to ensure, or at least evince, through examples that we can do the same algebraic operations, addition, multiplication, and some element-wise Hadamard operations (element-wise addition and multiplication).
End of explanation
a = np.array(range(11,41)).reshape((k,m)).T
print(a)
b = np.array(range(11,31)).reshape((n,k)).T
print(b)
c = np.array(range(11,35)).reshape((n,m)).T
print(c)
np.matmul(a,b)
np.diag(range(11,15))
np.ones(m*n)
# bias_broadcasted
np.matmul( np.ones(m*n).reshape((m,n)) , np.diag(range(11,15))  )
# a*b + bias_broadcasted
np.matmul(a,b) + np.matmul( np.ones(m*n).reshape((m,n)) , np.diag(range(11,15))  )
Explanation: cf. Matrix computations
on the GPU
CUBLAS and MAGMA by example
End of explanation
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