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Complex linear problem

  1. Mar 8, 2010 #1
    1. The problem statement, all variables and given/known data

    Let V be the set of all complex numbers regarded as a vector space over the field of real numvers. Find a function from V into V which is a linear transformation on the above vector space, but which is not a linear transformation on C1, i.e.,which is not complex linear.

    2. Relevant equations

    3. The attempt at a solution
  2. jcsd
  3. Mar 8, 2010 #2


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    Science Advisor

    Try [itex]z\rightarrow \overline{z}[/itex]. That is, [itex](x, y)\rightarrow (x, -y)[/itex].
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