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
Aside from using the books that you used for those subjects (which you should still have). I actually recommend the Schaum's outlines for studying the GRE.
Linear Algebra: https://www.amazon.com/Schaums-Outline-Linear-Algebra-5th/dp/0071794565
Group theory (most of the algebra content of the exam): https://www.amazon.com/Schaums-Outline-Group-Theory-Baumslag/dp/0070041245
But more than any of these, I really recommend the Princeton Review book for the subject test.
https://www.amazon.com/Cracking-GRE-Mathematics-Subject-Test/dp/0375429727
It has a very helpful review section for each subject on the test. If you study review and then brush up on whatever you don't remember with your old course notes and books you should be fine.