matrix.kronecker_product

Perform Kronecker product of two matrices. https://en.wikipedia.org/wiki/Kronecker_product

Functions

is_2d(→ bool)

kronecker_product(→ list[list[int]])

Module Contents

matrix.kronecker_product.is_2d(matrix: list[list[int]]) → bool
>>> is_2d([])
True
>>> is_2d([1, 2])
False
>>> is_2d([[1, 2], [3, 4]])
True
matrix.kronecker_product.kronecker_product(matrix_a: list[list[int]], matrix_b: list[list[int]]) → list[list[int]]
Parameters:

  • matrix_a – A 2-D Matrix with dimension m x n

  • matrix_b – Another 2-D Matrix with dimension p x q

Returns:

Result of matrix_a ⊗ matrix_b

Raises:

ValueError – If the matrices are not 2-D.

>>> kronecker_product([[1, 2]], [[5, 6], [7, 8]])
[[5, 6, 10, 12], [7, 8, 14, 16]]

>>> kronecker_product([[1, 2], [4, 5]], [[5, 6], [7, 8]])
[[5, 6, 10, 12], [7, 8, 14, 16], [20, 24, 25, 30], [28, 32, 35, 40]]

>>> kronecker_product([1, 2], [[5, 6], [7, 8]])
Traceback (most recent call last):
    ...
ValueError: Input matrices must be 2-D.