To write a transformation matrix in MATLAB, you can use the built-in function affine3d in the Image Processing Toolbox.
Here's an example of how to create a 3D transformation matrix using affine3d:
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In the above example, we define the translation, rotation, and scaling parameters. Then we use the compose function to create the transformation matrix T using the affine3d object. The resulting matrix T can be applied to a point or a set of points using the transformPointsForward method of the affine3d object.
Note that if you only need a 2D transformation matrix, you can use the affine2d object instead.
I hope this helps!
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