Toyota sells a Supercharger kit with everything you need to do the install. It uses many factory components and includes a new ECU. This is sold for the Corolla/Matrix/Vibe 1zz engines. A few people on this forum have installed them and are SWEEEEET upgrade to boost HP to 180 (like the 2zz). My best guess to pick one up would be toyota (if your pockets are deep lol) or look for someone selling a used one. I would recommend new as you would need certain gaskets and what not for a clean install
If your vibe is FWD (not AWD) you'll need a throttlebody plate adapter (your TB won't fit) and a different piggyback computer (the TRD won't work). At that point a Turbo would be a better option .
05 Matrix XR 4WD and 03 Vibe GT
"If you want Government to solve your problems, then you are the problem!" BMSR
Trix MODS: SRI w/ AEM filter, Vibrant/Magnaflow Cat-back, Alutec Lightweight Crank Pulley
GT MODS: Cosmo SRI, DRL, Auto Stop