I have just completed an introductory Linear Algebra course at university, and I have a question. Is it possible to graph a vector in C^n if, perhaps, n is small e.g. n=2 or 3? I can't linearly order the complex numbers, but I can impose a lexicographic order upon them. However, this order precludes placing them on an axis because they become "infinitely dense".
I'm still new to mathematics, and I have not studied complex analysis at all. I worked out of David Lay's "Linear Algebra and Its Applications" which I thought was a decent but not stellar text. Indeed, I had hoped that my text would go into real detail and abstraction. Alas, it did not.