Use purigen unless you are going to take the time to learn about nitrate digesters. Purigen is a simple resin. It is easy to understand, it works with little maintenance, and is easy to implement.
Matrix will not work unless there is ample carbon (read: dissolved organics) in the water. Since dissolved organics are breeding grounds for bad bacteria and even worse nasties, we try to curtail this in our aquariums; we use things like protein skimmers, potassium permaganate and hydrogen peroxide, carbon, or ozone to name a few. For that matter, in reducing nitrates, it will not work any better than slowly flowing water through regular play sand and I would argue far worse since when bacteria clogs the pores, it will not work at all.
Too much of what we have in the hobby is companies selling us stuff we could make for 10% of the cost and have it work many times better. We rely on their scientific research so we do not have to know how it works.