Inspired by the recent success of my "soft question" here, I also have to ask, what are some of the oldest linear algebra books out there with exercises? I'm fine with or without solutions, either way.
Again, maybe there are some hidden gems from before the 20th century out there.
Why am I hunting for the oldest sources possible? Well, two very well-known mathematicians who have recently passed (Abhyankar, Voevodsky) and a well-known living physicist (Wolfram) told me to read Grassmann in order to learn linear algebra properly and not be corrupted by the "postmodern turn" in mathematics where the original means and ends of linear algebra have been separated.
I've attempted reading Grassmann's work before, but I would really like a textbook written as close to his lifetime as possible on linear algebra that has exercises.