Looking through the book, it seems to concentrate on R^n, and not pay much attention to abstract vector spaces. Probably a good choice for the intended audience

Looking through the book, it seems to concentrate on R^n, and not pay much attention to abstract vector spaces. Probably a good choice for the intended audience (mostly engineers, likely). You might prefer Hefferon's Linear Algebra, also free and open-source, and which spends more time on this. http://joshua.smcvt.edu/linearalgebra/ http://joshua.smcvt.edu/linearalgebra/ Both books look truly excellent.