Recent content by FluxU

Think of your friend carbon dioxide (O=C=O), here's a image of it's space filling model. http://upload.wikimedia.org/wikipedia/commons/thumb/a/af/Carbon-dioxide-3D-vdW.svg/800px-Carbon-dioxide-3D-vdW.svg.png

That's exploiting the fact that the zero vector from one space maps to the zero vector in the target space, correct? That makes sense! How about a method for testing for onto?

Hello, I have a general question about isomorphisms of vector spaces. I understand the concepts of mappings being one to one, and onto, but how do I go about SHOWING that a mapping is either one to one, onto, one or the other or both? For example, the mapping R^2-->R^2 defined by f(x,y) =...