Complex linear problem

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Homework Statement



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.

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The Attempt at a Solution

 

Answers and Replies

  • #2
HallsofIvy
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Try [itex]z\rightarrow \overline{z}[/itex]. That is, [itex](x, y)\rightarrow (x, -y)[/itex].
 

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