Multiplying 3D arrays (also known as 3rd-order tensors) is a common operation in fields like scientific computing, machine learning, and data analysis. The term "multiplication" can mean a few different things, so let's break down the most common types.
We'll use Python's NumPy library for the examples, as it's the standard for numerical operations in Python.
First, let's set up two sample 3D arrays. Imagine these represent a "batch" of 2 matrices, where each matrix has 3 rows and 4 columns.
import numpy as np
# Shape: (batch_size, rows, cols) = (2, 3, 4)