In the ROTF flashback exposition the Matrix floting a Prime's hand then the Fallen snatches it telekinetically. Later in that movie the Fallen messes up the almighty US military by himself. Levitating them then dropping them. In DOTM we find out that the Matrix naturally floats. Our assumption was the original Primes all had that telekinetic ability. Given what we saw in DOTM it sort of justifies that the Fallen was more powerful than his brothers. If he was the only Prime with that ability.

Wasn't the Matrix only handled by Primes in DOTM, though? I don't recall seeing it float in ROTF. I just assumed The Fallen's telekinesis was far more powerful.

IIRC, it's floating above the Fallens hand before he strikes one of the other Primes in Jetfires flashback.

The matrix never floated in Sam's hands so I don't think it floats naturally. Or maybe it only floats in a Prime's hands. Who knows?

No, I think Sam had to physically hold it. It's probably a shared ability between the Matrix and the Primes, i.e. Primes don't have to physically hold the Matrix, they can just levitate it.

Sentinel Prime also made the pillars float, but Decepticon protoforms had to carry them...I think. So Primes have telekinetic abilities?

If it can float by itself, Sam probably grabbed it for, well, practical reasons. I mean, if it has it's own little floaty field or whatever, how would Sam use it? It's too big for him to casually let it bob in the air above his hands. It just made sense to grab it. Besides, it only became powered when Sam held it just before stabbing Optimus with it. However it seems cooloer if the Prime's can move it using telekenisis.

SP did create the pillars maybe has something in that can make them move ever which way he wants. As for The Matrix I think only a Prime can make it float. Remember when OP offered it to SP but SP gave back without touch it.

I'm really intrigued by this idea and it seems like it is supported by the movieverse scenes. It is almost always floating when possessed or manipulated by a Prime. That seems pretty intentional to me. I'm really glad it showed up in DOTM again. I was a bit giddy in the theater when I saw it was back and in it's rightful place -- Prime's chest.

Did you guys forget the Fallen floating a bunch of pyramid debris in front of the fighter jets in RotF?