MHB Solving for $z_1^*$: Argand Diagram

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    Argand Diagram
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The discussion centers on the interpretation of the notation $z_1^*$, where $z_1 = 1 - j2$. Participants clarify that the star symbol denotes the complex conjugate, meaning $z_1^* = 1 + j2$. They explain that while the overline notation is more common, the asterisk is also valid for indicating complex conjugation. The conversation highlights the importance of understanding such notation in complex number contexts. Overall, the thread emphasizes the correct interpretation of mathematical symbols in relation to Argand diagrams.
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hi all,hope I find you all well and that I've posted this in the correct section

ive been given this $z_1$ =1-j2

Question ,find and show the result of $z_1 ^*$ on an argand diagram ,my question is what does the star symbol represent or is it a typo?

many thanks
 
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fordy2707 said:
hi all,hope I find you all well and that I've posted this in the correct section

ive been given this $z_1$ =1-j2

Question ,find and show the result of $z_1 ^*$ on an argand diagram ,my question is what does the star symbol represent or is it a typo?

many thanks

If $j$ is meant to represent $\sqrt{-1}$, then the star most likely represents complex-conjugation, so that if:

$z = a + jb$ (with $a,b \in \Bbb R$)

then $z^{\ast} = a - jb$ (we replace the imaginary part with its negative).
 

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I don't think it's a typo-see my earlier post.
 
Yep I'm with you, thanks.i looked up the wording you used and found this to certainly be the case many thanks for the help.it amazes me that I have this thrown into my questions without any prior explanation of its meaning.
 
The "overline", [math]\overline{z}[/math] is more common but, yes, the asterisk is sometimes used to indicate the complex conjugate. If [math]z= x+ iy[/math], then [math]z^*= \overline{z}= x- iy[/math].
 
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