Date: Apr 27, 2004 3:28 PM
Author: Toni Lassila
Subject: Re: Failing Linear Algebra:

On 27 Apr 2004 12:13:44 -0700, Anonymous wrote:

>I think I may finally be getting a grip on what a vector space is:
>
>It's a group of vectors that can be multiplied by any scalar and/or
>added together in any way, and whatever possible combinations that can
>result is the "vector space" for that group of vectors.


Define "vector". You can't really, since you haven't properly defined
a vector space. Hint: axioms.

>understand it. For vectors in R^2, a plane is formed ("spanned"???)
>by the vector space. For vectors in R^3, a solid area is formed by
>the vector space.


Is span({0,0},{0,2}) a plane? Is span({0,0,0},{0,0,1},{0,0,2}) a solid
area?

--
"I'm not interested in mathematics that might have anything
to do with reality." -- Russell Easterly, in sci.math