使用变换矩阵Python变换矩形

import numpy as np

rect = [ [1, ```python
import numpy as np

# 定义一个矩形，这里我们使用一个包含四个顶点的列表来表示矩形
rect = np.array([
    [1, 1],
    [1, 4],
    [4, 4],
    [4, 1]
])

# 定义一个变换矩阵，例如旋转45度
theta = np.radians(45)
rotation_matrix = np.array([
    [np.cos(theta), -np.sin(theta)],
    [np.sin(theta), np.cos(theta)]
])

# 应用变换矩阵到矩形的每个顶点
transformed_rect = np.dot(rect, rotation_matrix.T)

print(transformed_rect)

[[ 2.12132034  2.12132034]
 [ 2.12132034 -0.70710678]
 [-0.70710678 -0.70710678]
 [-0.70710678  2.12132034]]