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Get the Kronecker product of two arrays in Python
To get the Kronecker product of two arrays, use the numpy.kron() method in Python Numpy. Compute the Kronecker product, a composite array made of blocks of the second array scaled by the first.
The function assumes that the number of dimensions of a and b are the same, if necessary, prepending the smallest with ones. If a.shape = (r0,r1,..,rN) and b.shape = (s0,s1,...,sN), the Kronecker product has shape (r0*s0, r1*s1, ..., rN*SN). The elements are products of elements from a and b, organized explicitly by −
kron(a,b)[k0,k1,...,kN] = a[i0,i1,...,iN] * b[j0,j1,...,jN]
Steps
At first, import the required libraries −
import numpy as np
Creating two numpy arrays using the array() method −
arr1 = np.array([1, 10, 100]) arr2 = np.array([5, 6, 7])
Display the arrays −
print("Array1...\n",arr1)
print("\nArray2...\n",arr2)Check the Dimensions of both the arrays −
print("\nDimensions of Array1...\n",arr1.ndim)
print("\nDimensions of Array2...\n",arr2.ndim)Check the Shape of both the arrays −
print("\nShape of Array1...\n",arr1.shape)
print("\nShape of Array2...\n",arr2.shape)To get the Kronecker product of two arrays, use the numpy.kron() method in Python −
print("\nResult (Kronecker product)...\n",np.kron(arr1, arr2))
Example
import numpy as np
# Creating two numpy arrays using the array() method
arr1 = np.array([1, 10, 100])
arr2 = np.array([5, 6, 7])
# Display the arrays
print("Array1...\n",arr1)
print("\nArray2...\n",arr2)
# Check the Dimensions of both the array
print("\nDimensions of Array1...\n",arr1.ndim)
print("\nDimensions of Array2...\n",arr2.ndim)
# Check the Shape of both the array
print("\nShape of Array1...\n",arr1.shape)
print("\nShape of Array2...\n",arr2.shape)
# To get the Kronecker product of two arrays, use the numpy.kron() method in Python Numpy
print("\nResult (Kronecker product)...\n",np.kron(arr1, arr2))Output
Array1... [ 1 10 100] Array2... [5 6 7] Dimensions of Array1... 1 Dimensions of Array2... 1 Shape of Array1... (3,) Shape of Array2... (3,) Result (Kronecker product)... [ 5 6 7 50 60 70 500 600 700]
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