Coming up skiing & boarding on an open ended vacation I would definitely go to the side of caution and security and put 4 snow tires on the Toyota, for a few reasons.

You're not used to driving in snow and they're going to give you a huge advantage in traction, which is everything. You'll have a stress free drive to and from the slopes or anywhere rather than a white knuckle experience. It's a vacation, relax!

It's not just your vehicle you have to be concerend about, that other car out there can also lose control and having the traction to successfully and quickly maneuver out of their way can be the difference between a close call and a ruined day, or days. It's happened to me, dodging the 'other guy' is sometimes a very critical ability/move. The days you most want to get out will also be the worst days to be driving. Fresh snow falling is the siren call of the slopes, and everyone is heading there, heavy traffic with people in a hurry, some/many who have little experience in driving in snow. You want easy somewhat effortless control of the vehicle and the ability to get where you're going. Snow tires give you access.

Matrix is not really a snow adventure vehicle, things like its low ground clearance with the wrong tires can get you stuck in a simple situation like plowing through the furrow of snow the plow trucks left at the road entrance. The roads may be plowed but the parking lots where you're going/visiting, not so much.

Snow tires would be a very small part of the total cost of a trip for weeks on the slopes, and an accident could be a very large part of the trip. What do you really gain by having less traction, less mobility risking a tow me out bill or accident? The deducable on the insurance is probably a lot more then the cost of the tires.

TLDR; I wouldn't risk my vacation on the possible consequences, get the snow tires.