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Homework Help: Vector space , dimension,

  1. Mar 15, 2009 #1
    1. The problem statement, all variables and given/known data
    Let V be a vector space over C of dimenson n . We view V also as a vector space over R by restricting the scalar multiplication of C on V to R .Show that dimR(V) = 2n

    2. Relevant equations

    3. The attempt at a solution
    I have to show that if x1,...xn form a basis of V over C then x1,....xn ix1,....ixn form a basis of V over R
    but i still confuse about it
  2. jcsd
  3. Mar 15, 2009 #2


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    Science Advisor
    Homework Helper

    Hi ak123456! :smile:
    That's right! :smile:

    First prove that they are independent.

    Then start with any element of V, and prove that it is a combination of them, with real coefficients :wink:
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