Linear algebra book GRE Math Subject?

Question

I am preparing for GRE Math Subject which I will take in October. Did anyone take this exam here? Please recommend some good book on abstract algebra and linear algebra. I can work out with matrices, determinants, eigenvalue and eigenvectors. I need a book with good problems on abstract algebra and linear algebra which are similar to problems of GRE Math Subject. I have already look at links here but I was not able to find something useful.

Answer 1

Linear Algebra by Jim Hefferon is a text for a first undergraduate course. It is free. Use it as the main book, as a supplement, or for independent study.

Highlights

1. Standard coverage Linear systems and Gauss's method, vector spaces, linear maps and matrices, determinants, and eigenvectors and eigenvalues.
2. Developmental approach The book proves all of the results but does not start by assuming that students are already able at abstract work. Instead, it proceeds with a great deal of motivation, many computational examples, and many exercises. The goal is to raise each student's level of mathematical maturity.
3. Extensive exercise sets Each subsection has a wide range of exercises, from routine verifications to a few challenges. The book of solutions gives the answer to every one, completely worked. And, clicking on a problem takes you to its answer while clicking on the answer takes you back to the problem.
4. Prerequisite One semester of calculus.
5. Free Everything is Freely available, including the L^AT_EX source. You can also buy a paper copy of the book.

Available at:

https://hefferon.net/linearalgebra/