Proposition: Calculating with Complex Conjugates

For any complex numbers \(z, z_1,z_2\in\mathbb C\) we have

\((1)\) \((z^*)^*=z\).

\((2)\) \((z_1+z_2)^*=z_1^*+z_2^*\).

\((3)\) \((z_1\cdot z_2)^*=z_1^*\cdot z_2^*\).

Proofs: 1

Proofs: 1


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References

Bibliography

  1. Forster Otto: "Analysis 1, Differential- und Integralrechnung einer Veränderlichen", Vieweg Studium, 1983