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Get the Outer Product of an array with vector of letters in Python
Given two vectors, a = [a0, a1, ..., aM] and b = [b0, b1, ..., bN], the outer product is −
[[a0*b0 a0*b1 ... a0*bN ] [a1*b0 . [ ... . [aM*b0 aM*bN ]]
To get the Outer product of an array with vector of letters, 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
Steps
At first, import the required libraries −
import numpy as np
Creating two numpy One-Dimensional arrays using the array() method. The 1st array is a vector of letters. The 2nd array is an integer array −
arr1 = np.array(['p', 'q', 'r', 's'], dtype=object) arr2 = np.array([2, 3, 1, 3])
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 an array with vector of letters, use the numpy.outer() method −
print("\nResult (Outer Product)...\n",np.outer(arr1, arr2))
Example
import numpy as np
# Creating two numpy One-Dimensional arrays using the array() method
# The 1st array is a vector of letters
# The 2nd array is an integer array
arr1 = np.array(['p', 'q', 'r', 's'], dtype=object)
arr2 = np.array([2, 3, 1, 3])
# 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 an array with vector of letters, use the numpy.outer() method in Python
print("\nResult (Outer Product)...\n",np.outer(arr1, arr2))
Output
Array1... ['p' 'q' 'r' 's'] Array2... [2 3 1 3] Dimensions of Array1... 1 Dimensions of Array2... 1 Shape of Array1... (4,) Shape of Array2... (4,) Result (Outer Product)... [['pp' 'ppp' 'p' 'ppp'] ['qq' 'qqq' 'q' 'qqq'] ['rr' 'rrr' 'r' 'rrr'] ['ss' 'sss' 's' 'sss']]
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