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 bases and functions

  1. Oct 27, 2008 #1
    Hi

    How can I work out which subset is a subspace and which one isnt on this problem:

    Fq ([0,1]) be vector space of all functions [0,1] -> Q with addition and scalar multiplication defined in usual way.

    Let U < Fq ([0,1]) be the subset consisting of all functions f s.t. f(0) >= f(1) and let
    V < Fq([0,1]) be subset consist of all functions f such that f(0) = f(1).

    ===

    And lastly if C2 is a complex vector space consisting of pairs (z1 and z2) of complex numbers whats the 3 different bases for (Complex numbers base 2)?
     
  2. jcsd
  3. Oct 27, 2008 #2

    HallsofIvy

    User Avatar
    Staff Emeritus
    Science Advisor

    To prove that "U is a subspace of V" you must only prove that, for any u, v in U, au+bv is int U which is equivalent to proving "if u and v are in U, then u+v is in U" and "if u is in U and a is a scalar, then au is int U'.

    I have no idea what you mean by this. There exit an infinite number of bases for any vector space. Nor do I understand what you mean by "Complex numbers base 2". Do you mean "modulo 2"?
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?



Similar Discussions: Vector bases and functions
  1. Vector base? (Replies: 3)

  2. Vector functions (Replies: 3)

  3. Vector Functions (Replies: 3)

  4. Vector Functions (Replies: 2)

Loading...