make a transformation matrix in python

To make a transformation matrix in Python, we can use the NumPy library. The transformation matrix is a square matrix which is used to transform or modify 2D or 3D objects. Here is an example code to make a 2D transformation matrix using NumPy:

main.py
import numpy as np

# define the scaling factor, rotation angle and translation vector
sx, sy = 2, 3  # scale in x and y directions
theta = np.pi / 4  # rotation angle in radians
tx, ty = 1, 2  # translation in x and y directions

# define the transformation matrix
T = np.array([
    [sx*np.cos(theta), -np.sin(theta), tx],
    [np.sin(theta), sy*np.cos(theta), ty],
    [0, 0, 1]
])

print(T)
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In this example, we have defined the scaling factor, rotation angle and translation vector, which are used to create the transformation matrix T. The transformation matrix is defined as a 3x3 NumPy array, with the first row corresponding to the x-axis transformation, the second row corresponding to the y-axis transformation, and the third row corresponding to the homogeneous coordinate (which is always 0, 0, 1 for 2D transformations).

Note that this example code only shows one possible way to create a transformation matrix in Python, and there are many other possible transformations and ways of representing them in code.