I imagine that TPMS would likely be a part of many Matrix models dating from 2009 to 2013, and perhaps even from 2007 and 2008.
Battery life appears to depend jointly on time in use and the number of miles driven, as the sensors go to sleep whenever the vehicle is not driven.
Owners who remount their tires twice a year can probably push their sensor lifespan to the limit, but if you are like me (with a separate set of winter rims), our tires have been mounted on the same rims and have never been remounted seasonally, so when the time comes to replace our worn out tires, we will have to make a decision as to keep or replace our original sensors at the same time.
The most optimistic industry call on battery life is 10 years or 100,000 miles.
The least optimistic call is 5 years.
If you have had to replace one or more of your OEM (Pacific) TPMS sensors due to the battery and not due to mechanical or corrosion damage, can you please post the model year of your car, the year of your sensor(s) replacement, and the number of miles driven during that same period?