Vector Outer Product


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Vector Outer Product


  • The Vector Outer Product is a method of multiplying two vectors and receiving a matrix as the result.
  • The first vector must be a column vector, while the second must be a row vector.
  • The two vectors do not need to be the same size.
  • The order of the resulting matrix will have the same number of rows as the first vector, and the same number of columns as the second vector.
  • Each element in the resulting matrix will be the product of corresponding elements from the two vectors.


Find the cross product of the following vectors: Solution
  1. First we position them to make it easier to see which elements need to be multiplied:
  2. And solve: Note that we write the product as ab' as b needs to be a row vector.

code (Python)

import numpy as np

a = [6, 5]
b = [4, 3, 8]

c = np.outer(a, b)