Your solution is very nice!  I had a much longer sequence of steps.

More visibly your steps are

    0j_1 * + 0j1 * 3j4
 _3j4
 
 that is
 
    0j1 * 3j4
 _4j3
    + 0j1 * 3j4
 _4j_3
    0j_1 * + 0j1 * 3j4
 _3j4


--Kip Murray

Sent from my iPad


On Sep 16, 2013, at 12:46 AM, Roger Hui <[email protected]> wrote:

>> For complex analysis purists, it is possible to change the sign of the
> real part using only multiplication and conjugation -- an exercise left for
> the reader.
> 
> ​   +&.j. 3j4
> _3j4
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