To dodge an incoming object with great speed and agility. Best if only used to describe somebody dodging something without moving their feet, similar to Neo dodging the agent's bullets in the first Matrix movie.
Let's say that someone throws a basketball at your head and you dodge out of the way by leaning a certain direction, being sure to not move your feet. You have just matrixed the ball. You may now say, "Dood, I matrixed the hell out of that!"