Show the complex numbers of modulus 1 form a group under multiplication. |z| = √(x^2 + y^2) Before doing this, could someone please explain in words (and mathematical notation) what the complex numbers of modulus 1 is? Thank you.
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Originally Posted by universalsandbox Show the complex numbers of modulus 1 form a group under multiplication. |z| = √(x^2 + y^2) Before doing this, could someone please explain in words (and mathematical notation) what the complex numbers of modulus 1 is? Thank you. A complex number is . Thus, - we just write as a notational thing. The modulos of a complex number is and it is defined as . Thus, if then it means .
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