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Get the Outer product of two multidimensional arrays in Python
To get the Outer product of two multi-dimensional arrays, use the numpy.outer() method in Python. The 1st parameter a is the first input vector. Input is flattened if not already 1-dimensional. The 2nd parameter b is the second input vector. Input is flattened if not already 1-dimensional. The 3rd parameter out is a location where the result is stored.
Given two vectors, a = [a0, a1, ..., aM] and b = [b0, b1, ..., bN], the outer product [1] is −
[[a0*b0 a0*b1 ... a0*bN ] [a1*b0 . [ ... . [aM*b0 aM*bN ]]
Steps
At first, import the required libraries −
import numpy as np
Creating two numpy Two-Dimensional array using the array() method −
arr1 = np.array([[5, 10], [15, 20]]) arr2 = np.array([[6, 12], [18, 24]])
Display the arrays −
print("Array1...\n",arr1)
print("\nArray2...\n",arr2)Check the Dimensions of both the arrays −
print("\nDimensions of Array1...\n",arr1.ndim)
print("\nDimensions of Array2...\n",arr2.ndim)Check the Shape of both the arrays −
print("\nShape of Array1...\n",arr1.shape)
print("\nShape of Array2...\n",arr2.shape)To get the Outer product of two multi-dimensional arrays, use the numpy.outer() method −
print("\nResult (Outer Product)...\n",np.outer(arr1, arr2))
Example
import numpy as np
# Creating two numpy Two-Dimensional array using the array() method
arr1 = np.array([[5, 10], [15, 20]])
arr2 = np.array([[6, 12], [18, 24]])
# Display the arrays
print("Array1...\n",arr1)
print("\nArray2...\n",arr2)
# Check the Dimensions of both the arrays
print("\nDimensions of Array1...\n",arr1.ndim)
print("\nDimensions of Array2...\n",arr2.ndim)
# Check the Shape of both the arrays
print("\nShape of Array1...\n",arr1.shape)
print("\nShape of Array2...\n",arr2.shape)
# To get the Outer product of two multi-dimensional arrays, use the numpy.outer() method in Python
print("\nResult (Outer Product)...\n",np.outer(arr1, arr2))Output
Array1... [[ 5 10] [15 20]] Array2... [[ 6 12] [18 24]] Dimensions of Array1... 2 Dimensions of Array2... 2 Shape of Array1... (2, 2) Shape of Array2... (2, 2) Result (Outer Product)... [[ 30 60 90 120] [ 60 120 180 240] [ 90 180 270 360] [120 240 360 480]]
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