Calculate inner, outer, and cross products of matrices and vectors using NumPy
Last Updated :
29 Aug, 2020
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
import numpy as np
a = np.array([ 2 , 6 ])
b = np.array([ 3 , 10 ])
print ( "Vectors :" )
print ( "a = " , a)
print ( "\nb = " , b)
print ( "\nInner product of vectors a and b =" )
print (np.inner(a, b))
print ( "---------------------------------------" )
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)
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
import numpy as np
a = np.array([ 2 , 6 ])
b = np.array([ 3 , 10 ])
print ( "Vectors :" )
print ( "a = " , a)
print ( "\nb = " , b)
print ( "\nOuter product of vectors a and b =" )
print (np.outer(a, b))
print ( "------------------------------------" )
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)
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
import numpy as np
a = np.array([ 3 , 6 ])
b = np.array([ 9 , 10 ])
print ( "Vectors :" )
print ( "a = " , a)
print ( "\nb = " , b)
print ( "\nCross product of vectors a and b =" )
print (np.cross(a, b))
print ( "------------------------------------" )
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)
print ( "\nCross product of matrices x and y =" )
print (np.cross(x, y))
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Output :
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