·Textbook

·Problem set

·Textbooks for Math major

·References

[0] is the textbook of our course.
It's recommended using [1] before exams to do more exercises and learn some tricks (the second half of [1] is more difficult).
[0]&[1] are totally enough for our course if you only want to get a good grade.
[2],[3] is the textbook and solutions of textbook for students at the Department of Mathematics.
[4] is the textbook and solutions of textbook for most students in Chinese mainland who are not major in math (but don't read for many reasons).
[5] avoids determinants until the very end. Also, by developing the theory of linear transformations first, then about matrices, it really emphasizes a key thought to keep in mind with linear Algebra.Think in terms of linear transformations, compute with matrices. (commented by another Senior)
[6] also put the linear space and linear transformations in the first place and also it's the textbook for students at Caltech.
[7] is an interesting book. It helps me to understand many questions in linear algebra.
[8] is a classical lecture from a teaching assistant in Peking University and is also used in the recitation class of linear algebra b2 in 2021 fall.
[9] is the textbook and solutions of textbook for students at the Department of Mathematics at Fudan University.
You can read [10] if you like. It gives some applications of linear algebra in other subjects.

From my point of view, these papers and solutions will help you get a good grade, but can not help you learn linear algebra. Thus you only need to check if you are preparing for the midterm exam and the final exam.

Also thanks for many seniors, they organized all of these resources.