I am teaching linear algebra this semester, and I would really like to recommend my students some cool youtube videos visualizing some simple stuff like the span of a set of vectors, linear dependence, subspaces (and their intersection and sum) and how does a basis give you a "coordinate system". And for future use, visualizing change of coordinates, linear transformations etc.
Strangely, I couldn't find such things myself which were really good. I would be very happy to get some recommendations from the community.
Sorry for answering so late, but Essence of Linear Algebra by 3Blue1Brown is fantastic. I found it a year after my linear algebra course (which taught no geometry at all) and it made a lot of concepts feel far more concrete than when I first learned them. https://www.youtube.com/playlist?list=PLZHQObOWTQDPD3MizzM2xVFitgF8hE_ab