What is your best advice for learning linear algebra and analytic geometry?

Question

Mathematics

Hello.
Here I was advised to study linear algebra and analytic geometry. I don't know geometry at all, even at the school level. Algebra at the level of the 9th grade with a stretch. What can you advise in my case, what is the optimal training plan for me, what literature can you recommend?
Please stay on topic and be as detailed as possible. Thanks in advance.

Answer 1

In general, these are quite complex subjects. I don’t know if I would have had the will to study them like this myself, without a university. With good preparation after the 11th grade, in the first year, it was not easy. To school algebra and geometry there are references, so to speak, insignificant.
I can recommend the book Ilyin V.A., Kim G.D. "Linear Algebra and Analytic Geometry". Must read, as they say.
More Kim G.D., Kritskov L.V. "Algebra and Analytic Geometry". To solve problems, apparently, from there.

Answer 2

Usually in books on DirectX they tell what vectors are, how to use matrices to make scaling, translation and rotation transformations. Of course, the better you know mathematics, the easier it is to program. For example, we were not taught about quaternions at the institute, but they are also used in the animation of rotations.

Answer 3

The MIPT Lecture Hall helped me a lot .
As well said above, it is very difficult to master the basis of LA and AG on your own, because there is not enough understanding of the subject. (As my seminarian says: "Feel the thought!"). It is very useful to listen to teachers, even if not from your own university. For these purposes, a lecture hall was invented. I also recommend the lectures of the teachers of Phys. Faculty of Moscow State University (I recommend Ovchinnikov) in linear algebra and analytic geometry

Answer 4

I advise you to study as they usually do it - according to textbooks

Answer 5

As a programmer, I liked this practical linear algebra