Complex Modulus/Examples/-5
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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