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 【解】

 

代码验证

import numpy as np
from scipy.spatial.distance import mahalanobis

# 定义四个点坐标的数组
points = np.array([[0.5, 1.5], [4, 4], [8, 6], [2, 2]])

# 计算协方差矩阵
covariance_matrix = np.cov(points.T)

# 计算马氏距离
mean = np.mean(points, axis=0)


print("协方差矩阵:")
print(covariance_matrix)
print(mahalanobis(points[0], points[-1], np.linalg.inv(covariance_matrix)))
print(mahalanobis(points[1], points[-1], np.linalg.inv(covariance_matrix)))
print(mahalanobis(points[2], points[-1], np.linalg.inv(covariance_matrix)))