I am currently reading a bit of real analysis from Dr Pugh's book and I intend to study abstract algebra from Dummit and Foote in a short time.
However, I wish to explore linear algebra in the meantime and I was wondering if someone could recommend a short linear algebra text(100-150 pages) which covers important topics well like Vector spaces, bases , dimensions,operations on matrices, eigenvalues and related topics which are necessary for multivariate analysis.I would appreciate a rigorous book aimed at pure mathematics students.
Thanks!