Linear Algebra is so cool

The calculus track is overemphasized at the expense of other math because it is predominantly useful in many kinds of engineering. However, not everyone is going to become an engineer.

Linear is more fundamental and (I would argue) more interesting to think about. It also has a lot of applications. Therefore, it should be taught earlier and to more people.

Discuss.

In which fields is linear algebra predominantly used in?
Just curious.