Book recommendation for Linear algebra. I am looking for suggestions, it has to be a self study book and should be able to relate to applications to real world problems.
If it is more computer science oriented , that would be great.
 A: Jim Hefferon has a freely available book Linear Algebra that discusses various applications as well as giving a solid theoretical base.
A: There is an innovative course Coding the Matrix offered by Philip Klein which consists of a book and a course offered on Coursera and other places. It even has a Twitter account for keeping updated. The reviews are controversial, see also here and here, but it looks as an interesting challenge to try. It is designed, according to the author's website, as a "course is to provide students interested in computer science an introduction to vectors and matrices and their use in CS applications".
A: Linear Algebra and its Applications by David C. Lay is a simple book containing many references to real-world problems, including computer science.
A: Linear Algebra and its Applications- Gilbert Strang seems to be very recommended. 
A: Strang revisited with a valid free download:
https://archive.org/details/flooved1323
"Computational Sciences and Engineering - Applied Linear Algebra"
A: Linear Algebra Step by Step would be useful for understanding linear algebra;
http://www.amazon.com/Linear-Algebra-Step-Kuldeep-Singh/dp/0199654441
A: I recommend the new book Introduction to Applied Linear Algebra -- Vectors, Matrices, and Least Squares by Boyd and Vandenberghe. A PDF of the latest draft can be found on Boyd's website.
I also recommend a few books by Gilbert Strang:
1) Linear Algebra and Its Applications
2) Introduction to Linear Algebra
3) Differential Equations and Linear Algebra
