Python:实现inverse matrix逆矩阵算法
from __future__ import annotations
from decimal import Decimal
def inverse_of_matrix(matrix: list[list[float]]) -> list[list[float]]:
D = Decimal # An abbreviation to be conciseness
# Calculate the determinant of the matrix
determinant = D(matrix[0][0]) * D(matrix[1][1]) - D(matrix[1][0]) * D(matrix[0][1])
if determinant == 0:
raise ValueError("This matrix has no inverse.")
# Creates a copy of the matrix with swapped positions of the elements
swapped_matrix = [[0.0, 0.0], [0.0, 0.0]]
swapped_matrix[0][0], swapped_matrix[1][1] = matrix[1][1], matrix[0][0]
swapped_matrix[1][0], swapped_matrix[0][1] = -matrix[1][0], -matrix[0][1]
# Calculate the inverse of the matrix
return [[float(D(n) / determinant) or 0.0 for n in row] for row in swapped_matrix]
