The Trinity reg is designed to reduce the cyclic pressure of the spool valve of the gun, It sits below the barrel and seperate the firing gas chamber from the cocking gas chamber. The idea being that a bolt with only 80psi behind it can not break a paintball.
Now the Centreflag and MacDev (both excellent products) are use to regulate all gas into your matrix and would screw into the ASA adapter you would need to buy if you wanted to use these regs (The both replace the Beehive).
at http://www.888paintball.com/ can someone go to the matix at that site and tell me if it has a trinity regualtor on it, i would have out a link to it but i dont know how