Classify a transformation based on its mathematical category.

Input parameters:

1. Tr → Transformation to classify.

Output parameters:

1. Id → True if the transformation equals the identity matrix and does not affect shapes at all.
2. Mo → True if the transformation contains only translations.
3. Ro → True if the transformation contains only rotations.
4. Rd → True if the transformation is made up of a combination of translations and rotations.
5. Sm → True if the transformation is made up of a combination of translations, rotations, dilations and reflections.
6. Af → True if the transformation is affine, meaning it lacks perspective or tapering aspects.