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.
You should work on some of the most common tricks, like using 4 by 4 matrices for computer graphics and understanding what a PCA does.
As much as I like 3blue1brown, watching those videos is not a good way to learn. It's maybe a good way to get some intuition about a topic and much closer to the "infotainment" category. A good textbook + solving problems + maybe writing code works much better for actual learning.
> 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.
Start with [Essence of Linear Algebra](https://www.youtube.com/playlist?list=PLZHQObOWTQDPD3MizzM2x...) by [3 Blue 1 Brown](https://www.youtube.com/channel/UCYO_jab_esuFRV4b17AJtAw) for an intuitive overview of all the major concepts.
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.
You should work on some of the most common tricks, like using 4 by 4 matrices for computer graphics and understanding what a PCA does.