NumPy: Compute the outer product of two given vectors

Last update on March 25 2025 12:17:49 (UTC/GMT +8 hours)

2. Outer Product of Vectors

Write a NumPy program to compute the outer product of two given vectors.

NumPy: Outer product of two vectors

Sample Solution :

Python Code :

import numpy as np

# Define two 2x2 matrices 'p' and 'q'
p = [[1, 0], [0, 1]]
q = [[1, 2], [3, 4]]

# Display the original matrices 'p' and 'q'
print("Original matrices:")
print(p)
print(q)

# Compute the outer product of matrices 'p' and 'q' using np.outer
result = np.outer(p, q)

# Display the outer product of the matrices
print("Outer product of the said two vectors:")
print(result) 

Sample Output:

original matrix:
[[1, 0], [0, 1]]
[[1, 2], [3, 4]]
Outer product of the said two vectors:
[[1 2 3 4]
 [0 0 0 0]
 [0 0 0 0]
 [1 2 3 4]]

Explanation:

p = [[1, 0], [0, 1]]

q = [[1, 2], [3, 4]]

At first two 2x2 matrixes p and q have been declared.

result = np.outer(p, q) This line calculates the outer product of p and q. The outer product is calculated by taking the Cartesian product of the elements in p and q, and multiplying them together.

[[1*1, 1*2, 1*3, 1*4],

[0*1, 0*2, 0*3, 0*4],

[0*1, 0*2, 0*3, 0*4],

[1*1, 1*2, 1*3, 1*4]]

Finally print() prints the resulting 4x4 matrix.

For more Practice: Solve these Related Problems:

• Compute the outer product of two 1D arrays using np.outer and verify the dimensions of the result.
• Implement the outer product manually by reshaping one vector to a column and the other to a row and multiplying them.
• Compare the result of np.outer with a custom function that uses broadcasting to form the outer product.
• Extend the outer product computation to handle vectors of different lengths and analyze the resulting shape.

Python-Numpy Code Editor: