Apply 4x4 matrix to the mesh (STL file)

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STL

3D

Matrix

I have STL file where I want to apply 4x4 matrix.
The matrix I want to apply is:

[[2.7282, 0, 0, 0], [0, 4.0014, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1]]

Here is my STL file: https://we.tl/t-v6SHprAeUZ[^]

I have used Python code to apply matrix to the mesh (STL file) but the code didn't help me. It gives me runtime error:

Traceback (most recent call last):
  File "E:\STL\matrix.py", line 17, in <module>
    transformed_point = np.dot(matrix, homogeneous_point)  # Apply the transformation
                        ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
ValueError: shapes (4,4) and (10,1) not aligned: 4 (dim 1) != 10 (dim 0)

What I have tried:

The code:

import numpy as np
from stl import mesh

# Define your 4x4 transformation matrix
matrix = np.array([[2.7282, 0, 0, 0],
                   [0, 4.0014, 0, 0],
                   [0, 0, 1, 0],
                   [0, 0, 0, 1]])

# Load your STL file and its vertices into a data structure
your_mesh = mesh.Mesh.from_file('E:\\STL\\Mesh4.stl')

# Apply the transformation to each vertex
transformed_vertices = []
for vertex in your_mesh.vectors:
    homogeneous_point = np.append(vertex, 1)[:, np.newaxis]
    transformed_point = np.dot(matrix, homogeneous_point)  # Apply the transformation
    transformed_vertices.append(transformed_point[:3, 0])  # Extract the transformed 3D coordinates

# Create a new mesh with the transformed vertices
new_mesh = mesh.Mesh(np.array(transformed_vertices), remove_empty_areas=False)

# Save the modified mesh to an STL file
new_mesh.save('E:\\STL\\output_mesh.stl')
print("Transformation applied and saved successfully.")