I am reading "linear algebra done right" by Axler and like it a lot. One thing though, in the end I would like to put these theory to use and as a math textbook it doesn't cover much application. Would you recommend any good book that covers application but also tries to tie back to the theory. It would be even better, if the subject is mostly focused on statistics/finance/machine learning.
Or some other book that has a balance between matrix and linear algebra theory, as Axler doesn't cover much matrix until the end. (how about Linear Algebra by FriedbergInsel/Spence?)
Thank you very much.
I am reading Pattern Recognition and Machine Learning by Christopher M. Bishop. I think it may qualify for your criteria.