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What is the conjugate of a complex number?
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An important idea in complex numbers is the conjugate of a complex number. This is simply the opposite of a complex number and is rather easy to figure out. Lets take our previous complex number, $z$. We already know what this is $(z=a+b i)$, so the conjugate of it would be:
$\bar{z}=a-b i$
We simply change the sign in front of the imaginary part to get our conjugate for $z$. Pretty simple. We the conjugate of $z$, is shown with a special symbol, $\bar{z}$. Its the variable for our complex number with a bar over it. This is the conjugate
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