NumPy: Compute the outer product of two given vectors
NumPy: Linear Algebra Exercise-2 with Solution
Write a NumPy program to compute the outer product of two given vectors.
NumPy: Outer product of two vectors
![NumPy Linear algebra: Compute the outer product of two given vectors](https://www.w3resource.com/w3r_images/linear-algebra-image-exercise-2.png)
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.
Python-Numpy Code Editor:
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