I strongly recommend 3blue1brown's intro to linear algebra[0] for quick intuitions, followed by Gilbert Strangs MIT Open Course[1][2] for (much) deeper detail. Strang is a genius, but Sanderson's graphics and intuitions can be helpful early on.

[0] https://www.youtube.com/watch?v=fNk_zzaMoSs&list=PLZHQObOWTQ...

[1] https://ocw.mit.edu/courses/mathematics/18-06-linear-algebra...

[2] https://www.youtube.com/playlist?list=PL49CF3715CB9EF31D