1. Apr 19, 2009 #1

   samh

   

   Here's the page: http://mathworld.wolfram.com/Hyperplane.html
   
   They say that the set S is a subspace of R^n. Is that true? Doesn't c have to be zero in order for S (the hyperplane) to be a subspace?

    

   samh, Apr 19, 2009
2. 
   Phys.org - latest science and technology news stories on Phys.org

   • • Peruvian scientists use DNA to trace origins of Inca emperors
   • • Astronaut and moonwalker Alan Bean dies at 86
   • • How a particle may stand still in rotating spacetime
3. Apr 20, 2009 #2

   CompuChip

   

   Science Advisor

   Homework Helper

   Let n = 2, a₁ = a₂ = 1. If I rename x₁ = x and x₂ = y, then according to you only
   x + y = 0
   defines a line (hyperplane) but
   x + y = 1
   doesn't?
   
   [edit]I see your point. Probably they should write that it is ... isometric (is that the word here? it's just a line through the origin translated by a constant vector) to a genuine co-dimension one subspace[/edit]

    

   Last edited: Apr 20, 2009

   CompuChip, Apr 20, 2009
4. Apr 20, 2009 #3

   matt grime

   

   Science Advisor

   Homework Helper

   Affine is the word you're looking for: things that look like translations of vector subspaces.

    

   matt grime, Apr 20, 2009

• Log in with Facebook
• Log in with Twitter

Your name or email address:

Do you already have an account?

• No, create an account now.
• Yes, my password is:
• Forgot your password?

Stay logged in