- #1
Ubernisation
- 1
- 0
Homework Statement
C=
a -b
b a
and p is the mapping Complex numbers --> C by the rule p(a+ib)=
a -b
b a
Show that p is a bijection
Homework Equations
The Attempt at a Solution
Well I need to prove it is both injective and surjective. For Injectivity I have tried showing that the determinate=0, but all I got was detA=a^2 + b^2 and for surjectivity. I also know that any non square matrix cannot be bijective, so attempted to involve this in the answer, but I don't think this is the right thing to be doing.
I have no idea what to do. I have not tackled questions similar to this before, so don't really have any idea what path I should be following.
Any help hugely welcome.
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