> You are probably about to begin your second exposure to linear algebra. Unlike
your first brush with the subject, which probably emphasized Euclidean spaces
and matrices, this encounter will focus on abstract vector spaces and linear maps. These terms will be defined later, so don’t worry if you do not know what they mean. This book starts from the beginning of the subject, assuming no knowledge of linear algebra. The key point is that you are about to immerse yourself in serious mathematics, with an emphasis on attaining a deep understanding of the definitions, theorems, and proofs.
It is definitely a hard text if you haven't had exposure to linear algebra before.
The thing is, by the time you get to this book, most students have probably taken DiffEq or multivariable calculus, and had exposure to linear algebra there. (If not in high school.)
> You are probably about to begin your second exposure to linear algebra. Unlike your first brush with the subject, which probably emphasized Euclidean spaces and matrices, this encounter will focus on abstract vector spaces and linear maps. These terms will be defined later, so don’t worry if you do not know what they mean. This book starts from the beginning of the subject, assuming no knowledge of linear algebra. The key point is that you are about to immerse yourself in serious mathematics, with an emphasis on attaining a deep understanding of the definitions, theorems, and proofs.
It is definitely a hard text if you haven't had exposure to linear algebra before.