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!

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

    HallsofIvy

    User Avatar
    Staff Emeritus
    Science Advisor

    Try [itex]z\rightarrow \overline{z}[/itex]. That is, [itex](x, y)\rightarrow (x, -y)[/itex].
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: Complex linear problem
Loading...