The Toyota Matrix, officially referred to as the Toyota Corolla Matrix, is a compact hatchback manufactured by Toyota Motor Manufacturing Canada in Cambridge, Ontario and derived from the Corolla. Introduced in 2002 as a 2003 model, the Matrix was the result of a joint venture between Toyota and General Motors, with the GM version being the Pontiac Vibe, which was assembled by New United Motor Manufacturing, Inc. (NUMMI) in Fremont, California, United States.