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Let a and b be real numbers, then

(a + bi)(a - bi) (complex conjugates)

= a2 - b2i2 by definition i2 = -1

= a2 + b2 (the sum of two real numbers is also a real number)

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Q: Why conjugation only change imaginary part?
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Why the conjugation only change the sign of the imaginary part?

when you square a negative number you also get a positive result (because a negative times a negative gives a positive)


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How do you write a pseudocode for additing two complex number?

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