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How to vector-multiply two arrays of matrices?

Date: 2023-03-30 11:35:45

To multiply two arrays of matrices element-wise, you can use NumPy's einsum function. The einsum function allows you to specify a subscript notation for the multiplication, which makes it easy to perform element-wise matrix multiplication.

Here's an example of how to use einsum to multiply two arrays of matrices: 

 

import numpy as np

# create two arrays of matrices
A = np.random.rand(3, 2, 2)
B = np.random.rand(3, 2, 2)

# multiply the two arrays element-wise
C = np.einsum('aij,aij->aij', A, B)

print(C)

In this example, A and B are both arrays of matrices with shape (3, 2, 2). The einsum function takes two arguments: a subscript notation for the multiplication, and the two arrays to be multiplied.

The subscript notation 'aij,aij->aij' specifies that we want to multiply the matrices element-wise, and that the output should have the same shape as the input arrays. The a, i, and j indices correspond to the dimensions of the input matrices.

The resulting array C will have the same shape as A and B, and each matrix in C will be the element-wise product of the corresponding matrices in A and B


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