1. Not finding help here? Sign up for a free 30min tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Vector space question

  1. Dec 14, 2008 #1
    Hi, good morning!

    I'm having trouble with vector space.

    Let there be α and β some given numbers. Prove that the set of all the real numbers f(x) so that: α*f(-2) + β*f(5) = 0 is a vector space !

    Could someone please write a full solution for he axiom scalar multiplication?
  2. jcsd
  3. Dec 14, 2008 #2
    There is no "Axiom scalar multiplication"

    You want to show that scalar multiplication as it is defined on your "Vector Space" has a multiplicative identity, and that distributivity holds with the operation of vector addition defined on your vector space.

    So how is it defined on this Vector Space?
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?

Similar Discussions: Vector space question
  1. Vector space questions (Replies: 15)