What textbooks would you recommend for these topics? (Right now my list is only “Linear Algebra Done Right”)

I would recommend not starting with Linear Algebra Done Right unless you already know the basics of linear algebra. The book does not cover some basic material (like row reduction, elementary matrices, solving linear equations) and instead focuses on trying to build up the theory of linear algebra in a “clean” way, which makes it enlightening as a second or third exposure to linear algebra but a cruel way to be introduced to the subject for the first time. I think 3Blue1Brown videos → Vipul Naik’s lecture notes → 3Blue1Brown videos (again) → Gilbert Strang-like books/Treil’s Linear Algebra Done Wrong → 3Blue1Brown videos (yet again) → Linear Algebra Done Right would provide a much smoother experience. (See also this comment that I wrote a while ago.)

I would recommend

notstarting withLinear Algebra Done Rightunless you already know the basics of linear algebra. The book does not cover some basic material (like row reduction, elementary matrices, solving linear equations) and instead focuses on trying to build up the theory of linear algebra in a “clean” way, which makes it enlightening as a second or third exposure to linear algebra but a cruel way to be introduced to the subject for the first time. I think 3Blue1Brown videos → Vipul Naik’s lecture notes → 3Blue1Brown videos (again) → Gilbert Strang-like books/Treil’sLinear Algebra Done Wrong→ 3Blue1Brown videos (yet again) →Linear Algebra Done Rightwould provide a much smoother experience. (See also this comment that I wrote a while ago.)