
Re: Failing Linear Algebra:
Posted:
Apr 27, 2004 3:28 PM


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

