Let’s discuss how to find the inner, outer, and cross products of matrices and vectors using NumPy in Python.
Inner Product of Vectors and Matrices
To find the inner product of the vectors and matrices, we can use the inner() method of NumPy.
Syntax:
numpy.inner(arr1, arr2)
Code :
Python3
# Python Program illustrating # numpy.inner() method import numpy as np # Vectors a = np.array([2, 6]) b = np.array([3, 10]) print("Vectors :") print("a = ", a) print("\nb = ", b) # Inner Product of Vectors print("\nInner product of vectors a and b =") print(np.inner(a, b)) print("---------------------------------------") # Matrices x = np.array([[2, 3, 4], [3, 2, 9]]) y = np.array([[1, 5, 0], [5, 10, 3]]) print("\nMatrices :") print("x =", x) print("\ny =", y) # Inner product of matrices print("\nInner product of matrices x and y =") print(np.inner(x, y)) |
Output :
Outer Product of Vectors and Matrices
The outer product of the vectors and matrices can be found using the outer() method of NumPy.
Syntax:
numpy.outer(a, b, out = None)
Code :
Python3
# Python Program illustrating # numpy.outer() method import numpy as np # Vectors a = np.array([2, 6]) b = np.array([3, 10]) print("Vectors :") print("a = ", a) print("\nb = ", b) # Outer product of vectors print("\nOuter product of vectors a and b =") print(np.outer(a, b)) print("------------------------------------") # Matrices x = np.array([[3, 6, 4], [9, 4, 6]]) y = np.array([[1, 15, 7], [3, 10, 8]]) print("\nMatrices :") print("x =", x) print("\ny =", y) # Outer product of matrices print("\nOuter product of matrices x and y =") print(np.outer(x, y)) |
Output :
Cross Product of Vectors and Matrices
To find the cross product of the vectors and matrices, we can use the cross() method of NumPy.
Syntax:
numpy.cross(a, b)
Code :
Python3
# Python Program illustrating # numpy.cross() method import numpy as np # Vectors a = np.array([3, 6]) b = np.array([9, 10]) print("Vectors :") print("a = ", a) print("\nb = ", b) # Cross product of vectors print("\nCross product of vectors a and b =") print(np.cross(a, b)) print("------------------------------------") # Matrices x = np.array([[2, 6, 9], [2, 7, 3]]) y = np.array([[7, 5, 6], [3, 12, 3]]) print("\nMatrices :") print("x =", x) print("\ny =", y) # Cross product of matrices print("\nCross product of matrices x and y =") print(np.cross(x, y)) |
Output :
