Problem #PRU-61066

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

Problem

Prove the equalities:

a) $\overset{―}{z + w} = \overset{―}{z} + \overset{―}{w}$ ; b) $\overset{―}{z w} = \overset{―}{z} \overset{―}{w}$ ; c) $\overset{―}{\frac{z}{w}} = \frac{\overset{―}{z}}{\overset{―}{w}}$ ; d) $| \overset{―}{z} | = | z |$ ; d) $\overset{―}{\overset{―}{z}} = z$ .

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