Linear Algebra Done Right by Sheldon Axler for the following reasons:
- I was revisiting a topic in greater depth, which is a common theme in university-level math courses.
- It is a rigorous book, written in the style of definition, proposition, theorem, etc.
- It was the first math book where the exercises don't just reinforce what you learned in the chapter, but teach you new material (another common theme in advanced math textbooks).
- Linear Algebra is arguably the most important math subject these days.
I have to second this. It's very well written and presents a clear view of what Linear Algebra is. Although it might be best used as a second book in Linear Algebra (depending on your preparation).
- I was revisiting a topic in greater depth, which is a common theme in university-level math courses.
- It is a rigorous book, written in the style of definition, proposition, theorem, etc.
- It was the first math book where the exercises don't just reinforce what you learned in the chapter, but teach you new material (another common theme in advanced math textbooks).
- Linear Algebra is arguably the most important math subject these days.