Complex Modulus/Examples/-5

Example of Complex Modulus

$\left\vert{-5}\right\vert = 5$


Proof

\(\ds \left\vert{-5}\right\vert\) \(=\) \(\ds \left\vert{-5 + 0 i}\right\vert\)
\(\ds \) \(=\) \(\ds \sqrt {\left({-5}\right)^2 + 0^2}\) Definition of Complex Modulus
\(\ds \) \(=\) \(\ds \sqrt {25}\)
\(\ds \) \(=\) \(\ds 5\)

$\blacksquare$


Sources

  • 1960: Walter Ledermann: Complex Numbers ... (previous) ... (next): $\S 1.2$. The Algebraic Theory: Examples
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