Elementary linear algebra sources I took matrix computations course, our course book is Numerical Linear Algebra and Optimization. As a computer science student, sometimes I get the impression that I lack some fundamental background knowledge about it. It'd be great if you could introduce some useful but not very long elementary linear algebra sources (not very long, since I should get back to my course book ASAP). 
Please note that I've Googled the subject and got some cookbooks but I am looking for some sources which are specifically related to the above mentioned book and covers those topics. 
 A: I used the following book as a reference even in my grad studies. I really think you could understand the material presented in it even if you begin reading from the middle. :) 


*

*Elementary Linear
Algebra
A: In fact a lot of books can be recommend : 
Usually the best book for starting linear algebra (for mathematics students) is 
Linear Algebra by Hoffman and Kunze 
(http://www.amazon.com/Linear-Algebra-Edition-Kenneth-Hoffman/dp/0135367972)
You can have a look at it if its good for you. 
But going by your background you would be more interested in Matrix Analysis for which :
Matrix Theory by David W. Lewis
(http://books.google.nl/books?id=vmztIjDJpu0C&printsec=frontcover&source=gbs_ge_summary_r&cad=0#v=onepage&q&f=false)
is better.
And also while browsing the internet I found a book with all the apt content that would be required for you :
Matrix Analysis and Applied linear algebra by Carl D. Meyer (chapters are available for download with permission) 
I hope you would not need anything outside these three books for Linear Algebra background. Check these in the reverse order : Carl D. Meyer, Lewis and lastly Hoffman and Kunze.
All the best ! :) 
*My personal favourite is "Linear Algebra : A geometric approach by S.Kumaresan" short and sweet. But I do not know if you can get it outside India. Probably a check in the library would be a good idea.
A: "Introduction to Linear Algebra" by Gilbert Strang is a very approachable book that has a lot of useful examples. It introduces the fundamentals very concretely and transitions smoothly into a few of the more abstract ideas that are needed in linear algebra, so you get a pretty complete understanding of the subject.  
This book also has the benefit that you can follow his lectures (which are based on the book) online through MIT Open CourseWare here.
A: I found "Linear Algebra (Undergraduate Texts in Mathematics)" by Larry Smith to be the perfect start in the theory of Linear Algebra right after the basics.
The prerequisites are: you know the basic mechanics and operations as well as the definition of Vector Space and Linear Transformation.
It has plenty of examples that apply the theory and you can work through the first half fairly quickly and pick and choose what you want to learn after that! (Like Spectral Theorem, Jordan Canonical Form, and Inner Product Spaces might be a bit much for what you're going for)
