Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Homework Help: Elem lin algebra (Vector space question)

  1. Mar 4, 2012 #1
    How is the following a vector space if it does not have a zero vector?
     

    Attached Files:

  2. jcsd
  3. Mar 4, 2012 #2

    Mark44

    Staff: Mentor

    If the space has a vector e such that x + e = x, for any vector x in the space, then e is acting as the zero vector. More formally, e is the additive identity.
     
  4. Mar 4, 2012 #3
    but e = (0,0) is not of the form (1,x)
     
  5. Mar 4, 2012 #4

    SammyS

    User Avatar
    Staff Emeritus
    Science Advisor
    Homework Helper
    Gold Member

    But for this vector space, e ≠ (0, 0).

    What is e for this vector space?
     
  6. Mar 4, 2012 #5
    is it (1,0)?
     
  7. Mar 4, 2012 #6

    SammyS

    User Avatar
    Staff Emeritus
    Science Advisor
    Homework Helper
    Gold Member

    Yes, that's e .
     
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook