If it is a math department, Zhang Xianke is the most recommended one: with Tsinghua University Publishing House, this set of books has many advantages, and it is most suitable for beginners and deep learners in the math department.

Qiu's book Linear Algebra is also a good choice for students majoring in mathematics. His shortcoming is that he is too inky, which leads to the lack of systematicness in every chapter of the book.

If you are a major in other fields, I suggest you spend more time on choosing synchronous tutorial books, because the theorems of other majors are relatively simple, and the main energy is spent on applying skills to solve calculation problems, just like our thinking in high school mathematics. I recommend you to buy a book on linear algebra for Li Yongle's postgraduate entrance examination, which is completely sufficient for non-mathematics majors. Ps: Now our math department can read this kind of book, and the questions on it can be worked out at a glance. ...