What is linear programming using the simplex method, according to linear algebra?

Question

I didn't go to the classes on this section, and now trying to study the book, I am completely lost. All i know is it has something to do with algebraic inequalities.

Answer 1

This is not something that can be explained here in a few lines. I suggest you start here http://en.wikipedia.org/wiki/Simplex_method look up some of the references in the article. Maybe their approach will be enough different from your text to help.