"Projector" and "Matrix" are not mutually exclusive. Projector-like optical design is he generalized type, i.e. the superset.
A projector-type optical path design implies that there is a focusing projection lens (what you see from the outside). The illuminated source is placed at the focal plane so that its focused image is projected (and usually inverted in a simple projection design) to the outside. So the illuminated source can be a bulb or LED in a properly-designed shaped reflector to project a well-controlled beam pattern. But it can also be a detailed image, formed possibly by an LED matrix of somewhat coarse pixels. The first examples, AFAIK, were a 1-D array of columnar "pixels" that could selectively illuminate or suppress columns of light in the projected beam pattern. Newer examples have a 2-D array of row/column pixels that can selectively illuminate regions in both X and Y. I've seen videos of these newer matrix lights that can create projected text messages, logos and other images onto the pavement or a wall in front. This is of course a kind of cool party trick in the same vein as the Tesla animal and bathroom sounds from the digital audio horn speaker.
In theory, the projector headlight could be morphed into a real image projector with high resolution RGB images, just like a digital conference-room projector - though that seems probably wasteful considering the main intended purpose: full-time high-beams with no light-blinding effect on other drivers, pedestrians and perhaps animals.
