Answer: No, it is not commutative. If used a square as an example, centered at (1,1). If a dilation is performed on the square of a scale factor of 3, and the square is translated 5 units downward, then the result would be different than if I switched the order, doing the translation downward first and then performing the dilation centered at (1,1).
I hope this helps! If you need any further clarification, just let me know below. Thanks! Have a good day, and good luck on your assignment. :)
