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Topic: Failing Linear Algebra:
Replies: 54   Last Post: Jan 10, 2007 12:47 PM

 Messages: [ Previous | Next ]
 Toni Lassila Posts: 536 Registered: 12/13/04
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

Date Subject Author
4/22/04 Guest
4/22/04 Michael N. Christoff
1/10/07 Gerry Myerson
1/10/07 Jonathan Miller
1/10/07 Guest
1/10/07 David C. Ullrich
1/10/07 Acid Pooh
1/10/07 Guest
4/23/04 Brian Borchers
4/27/04 Guest
1/10/07 maky m.
4/26/04 David Ames
1/10/07 Guest
1/10/07 Michael Stemper
1/10/07 maky m.
4/23/04 Porker899
4/27/04 Guest
1/10/07 Abraham Buckingham
1/10/07 Mitch Harris
1/10/07 Guest
1/10/07 Grey Knight
1/10/07 Guest
1/10/07 Toni Lassila
1/10/07 Thomas Nordhaus
1/10/07 George Cox
4/28/04 Dave Rusin
4/28/04 George Cox
4/28/04 George Cox
4/29/04 Marc Olschok
4/29/04 Mitch Harris
4/29/04 Robert Israel
4/28/04 Guest
4/29/04 Guest
1/10/07 Dave Rusin