Problem #PRU-61067

Problems Algebra Complex numbers Cartesian form of a complex number, complex conjugate, Argand diagram, etc

Problem

Prove the equalities:

a) $z + \overset{―}{z} = 2 Re z$ ;

b) $z - \overset{―}{z} = 2 i Im z$ ;

c) $\overset{―}{z} z = | z |^{2}$ .

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