1. Linear Algebra and Its Applications by David C. Lay

2. Linear Algebra and Its Applications by Gilbert Strang (perhaps the best introductory one) - look for a late edition (there is a fourth)

Random matrices:

1. cims.nyu.edu/~zeitouni/cupbook.pdf

2. Terence Tao - Topics in Random Matrix Theory (but you will need to quite advanced in order to read this, so consider it a final goal to be able to)

Good luck!

Dear Walid,

I hope these materials to be helpful.

Best luck

Elementary linear algebra, application version (http://www2.warwick.ac.uk/fac/sci/maths/undergrad/ughandbook/content/ma106/elementary_linear_algebra_10th_edition.pdf)

about random matrices, see

Dear Walid,

I think Michael is right about Strang's book.

You have it in the attachment,

Greetings, Tadeusz

Mérouane Debbah have a lot of work and contributions in this feild.

thank you all

Dear Walid,

There are many books, but I hope these will be helpful.

1. Carl D. Meyer, Matrix Analysis and Applied Linear Algebra, 2000 / xii + 718 pages / Hardcover / ISBN: 978-0-898714-54-8                                                          

2. Alan J. Laub, Matrix Analysis for Scientists and Engineers, 2005 / xiv + 157 pages / Softcover / ISBN: 978-0-898715-76-7 

3. Gilbert Strang, Linear Algebra and Its Applications, 2009 / x + 574 pages / Hardcover / ISBN: 978-0-9802327-1-4; forth Ed,

Good luck,

Mirjana

dear Mirjana

thank you very much

Bellman: Introduction to Matrix Analysis is also nice, constructive, instructive! Regards, Lajos.

The theory of Matrices by F.R.Gantmacher, volumes, are also  most useful books in this area.

Dear Walid,

I think you should consider this book as a handbook for your research: http://press.princeton.edu/titles/8961.html.

You can find many results easily.

Regards,

Rodrigo

thank you very much Rodrigo Augusto Ricco and M. S. N. Murty 

R.A. Horn, and C.R. Johnson, Matrix Analysis, Cambridge University Press, Cambridge, 1996.

R.A. Horn, and C.R. Johnson, Topics in Matrix Analysis, Cambridge University Press, Cambridge, 1999.

Introduction to Random Matrix Theory