How to prove |Z1Z2Z3| = |Z1||Z2||Z3| ? I used Z1 = a+bi Z2 = c+di Z3 = e+fi and expanded it all out but I could not simplify the expansion to get |Z1||Z2||Z3| Am I doing it the right way? Thank you so so so much!
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Originally Posted by Tutu How to prove |Z1Z2Z3| = |Z1||Z2||Z3| ? I used Z1 = a+bi Z2 = c+di Z3 = e+fi and expanded it all out but I could not simplify the expansion to get |Z1||Z2||Z3| Am I doing it the right way? I would do it in general by induction. $\displaystyle \left| {\prod\limits_{k = 1}^n {z_k } } \right| = \prod\limits_{k = 1}^n {\left| {z_k } \right|} $.
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