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Proposition: Absolute Value of the Product of Complex Numbers

For all $z_1,z_2\in\mathbb C$, the absolute value of the product of complex numbers $|z_1z_2|$ equals the product of real numbers represented by the absolute values $|z_1|$ and $|z_2|$, formally $|z_1z_2|=|z_1||z_2|.$

Table of Contents

Proofs: 1

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References

Bibliography

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