I'm a tutor for the introductory linear algebra course at my school; this course is required for most upper division economics classes, so a lot of my tutees are economics majors.
This is a typical linear algebra course that focuses on things like linear dependence, subspaces, eigenvalues, etc. and does not spend time on "practical applications". As a result, a lot of the economics students have no idea why they should be taking the course. Since I don't know the first thing about economics, I also have no idea why they should be taking the course.
Is it possible to convince economics students that linear algebra is important for their field? More precisely:
Are there any motivating examples where linear algebra is used in economics?