Properties of Modulus

Rarely Tested
  • $$|z_1 z_2| = |z_1| |z_2|$$
  • $$\left| \frac{z_1}{z_2} \right| = \frac{|z_1|}{|z_2|}$$ (for $$z_2 \neq 0$$)
  • $$|z| = |\bar{z}|$$
  • $$|z_1 + z_2| \leq |z_1| + |z_2|$$ (Triangle Inequality)
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