Re(z)=(z+zbar)/2 (getting the real part of a complex number)

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In this video, join us as we prove that the real part of a complex number Z equals (Z + Z*) / 2, both mathematically and graphically. We'll walk you through the steps of replacing Z with X + Yi, applying the conjugate operator to obtain Z* = X - Yi, and simplifying the equation to reach the desired result.

Discover the graphical representation of complex numbers, vector addition, and how to visualize the real part of Z as the average of Z and its conjugate. Enhance your understanding of complex numbers and their properties with this insightful tutorial. Like, subscribe, and explore our channel for more mathematical content!

🔗 Topics covered:

Real part of a complex number
Complex conjugate (Z*)
Vector addition
Graphical representation
Mathematical proof
The revised YouTube description now includes the mathematical notation for complex conjugate (Z*), making it more accurate and understandable for viewers familiar with complex number notation.
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the floating head made me giggle a few times. Thanks for the video I love the graphical explanation... very intuitive when you put it that way.

joshmusic

Re(z)=(z+zbar)/2 (getting the real part of a complex number)

Re(z)=(z+zbar)/2 (getting the real part of a complex number)

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