Please note that you can't use a transformer directly to power Arduino or led strips. Transformers are AC 'devices'.Did you mean power supply?
3200 LEDs? 192A max current (a kilowatt!), 1/10th of a second to update the whole string, and 9600 bytes of RAM needed for the frame buffer. All of these will pose some scaling challenges.
The larger project is to create an 8 x 8 grid of squares on the floor,