[eru]

> While working through a full Linear Algebra course, it is important to develop your own software to do things. That is, some sort of command tool to enter matrices and run operations on them. As you go through a course, you will keep adding operations.

That's definitely possible, but not everyone approaches linear algebra from such a number oriented perspective.

In fact, my linear algebra prof in Uni tried to avoid coordinates (ie numbers) as much as possible. Eg talking about abstract linear transformations instead of emphasising that you can represent them you can represent them as a rectangle of numbers.