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Vladimir79 [104]
3 years ago
7

True or false: the product of a complex number and it’s conjugate is a real number

Mathematics
2 answers:
Sveta_85 [38]3 years ago
6 0
a,b\in\mathbb{R}\\
z=a+bi\\
\overline{z}=a-bi\\\\
z\cdot\overline{z}=(a+bi)(a-bi)=a^2+b^2

If a,b\in\mathbb{R} then also (a^2+b^2)\in\mathbb{R}, so it's true.
Dominik [7]3 years ago
6 0
HI THERE !!

yes, this is true, the product of a complex number and its conjugate is its real number!!


have a good day :)
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