Hagrid and non-verbal spells

[Peggy Kern]

No: HPFGUIDX 151480

Hi, all.  I've started rereading (for the ten zillionth time) the Harry 
Potter books, and I noticed today that Hagrid appears to have done a couple 
non-verbal spells.  In Sorcerer's Stone, when he and Harry were going to buy 
Harry's stuff in London, Hagrid tapped the boat with his umbrella/wand 
pieces to speed it up, but didn't say anything.  And when they got to Diagon 
Alley, he tapped the magical brick to open the passageway.  I wonder if 
Hagrid can do non-verbal spells, and if so, how he learned, after just 
having studied for about three years.  Thoughts?

Peggy