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Get the Outer product of two One-Dimensional arrays in Python
To get the Outer product of two One-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 One-Dimensional array using the array() method −
arr1 = np.array([5, 10, 15]) arr2 = np.array([20, 25, 30])
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 One-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 −
print("\nResult (Outer Product)...\n",np.outer(arr1, arr2))
Example
import numpy as np
# Creating two numpy One-Dimensional array using the array() method
arr1 = np.array([5, 10, 15])
arr2 = np.array([20, 25, 30])
# 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 One-Dimensional arrays, use the numpy.outer() method in Python
print("\nResult (Outer Product)...\n",np.outer(arr1, arr2))Output
Array1... [ 5 10 15] Array2... [20 25 30] Dimensions of Array1... 1 Dimensions of Array2... 1 Shape of Array1... (3,) Shape of Array2... (3,) Result (Outer Product)... [[100 125 150] [200 250 300] [300 375 450]]
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