31.4 Conjugate and Modulus: a Pair of Mirror Images at Work
Point 2 of 4
31.4.2 Conjugate Meets Modulus: z·z̄=|z|²
Core idea
Picture this: multiply a number by its own mirror image and the imaginary parts cancel out perfectly, leaving a real number that equals exactly the modulus squared
Module goal. We get a systematic feel for the conjugate and how it relates to the modulus, treating it as a central tool for working with complex numbers
eastmath.com · 31.4 Conjugate and Modulus: a Pair of Mirror Images at Work · 31.4.2 Conjugate Meets Modulus: z·z̄=|z|²