I really like "Finite-Dimensional Vector Spaces" by Paul Halmos (Undergraduate Texts in Mathematics).
Is there any graduate level version of this book (not necessarily by Halmos), i.e. similar subject and style but at a more advanced level?
I am not really interested in the analysis part (e.g. convergence, completeness etc) but rather more interested in the algebraic parts like Eigenvalues, Eigenvectors and Spectral Theorems.
Thanks for any recommendations.