I am a medical student and want to teach myself linear algebra. My math level is high school. What related courses do I need to study before that?
Higher algebra is divided into polynomial and linear algebra. If we understand these two parts from the perspective of solving equations, then polynomials study equations with few unknowns and high degrees; Linear algebra is an equation with many unknowns and low order. Because mathematics often tries to decompose complex research objects into combinations of simple objects (similar to the combination of simple geometry in painting), linear algebra becomes more and more important. At present, the polynomial part is not paid much attention to, and non-mathematics majors simply talk about linear algebra. My experience is that the content of polynomials is also very important, but there are few books on this subject. In addition, before learning linear algebra, it is best to learn spatial analytic geometry. Algebra problems are written expressions and derivations, which are sometimes difficult to understand. Algebraic problems can often be found in geometric models, which are easy to understand through geometric intuition. Sometimes, geometric conclusions are directly used in the derivation of books. If you don't know geometry, you may be in trouble.