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Vectors and Matrices...?

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1. Vectors and Matrices
For z, a 2 C define the principal value of log z and hence of za. Hence find all
solutions to
(i) zi = 1
(ii) zi + z i = 2i ,
and sketch the curve |zi+1| = 1.

No idea how to start this question can anybody offer me a hint as to where I should begin?
2. no-one?
3. What do you mean by "a 2 C"?

As far as I can see the question isn't about vectors, matrices or logs. Sorry if I've got it wrong.

.

The last one is slightly more interesting.

Can you sketch ?

Then let w=zi. Multiplication by i gives a 90 degree anti-clockwise rotation.

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Updated: May 22, 2012
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