Question: Complex conjugation is a linear mapping of C to itself, so it could be defined via a matrix by z := Cz where z=

Complex conjugation is a linear mapping of C to itself, so it could be defined via a matrix by z := Cz where z= x+iy is repre

Complex conjugation is a linear mapping of C to itself, so it could be defined via a matrix by z := Cz where z= x+iy is represented by the vector (x, y) and z by (x,-y)T. (i) Find the 2 by 2 real matrix for C. (ii) Find the set of complex numbers that satisfy (a) Cz = -z and (b) Cz = 2z.

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