Properties of Conjugate

Rarely Tested
  • $$\overline{z_1 \pm z_2} = \bar{z_1} \pm \bar{z_2}$$
  • $$\overline{z_1 z_2} = \bar{z_1} \cdot \bar{z_2}$$
  • $$\overline{\left( \frac{z_1}{z_2} \right)} = \frac{\bar{z_1}}{\bar{z_2}}$$ (for $$z_2 \neq 0$$)
  • $$z \bar{z} = |z|^2$$
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