Update:sorry i think was meant to be just R. Created by Christopher. science-mathematics-en - mathematics-en

Z= a+bi and w = c+di are non-zero complex numbers a,b,c,d € IR. show that zw + wz is real.?

Christopher @Christopher

May 2021 1 55 Report

Z= a+bi and w = c+di are non-zero complex numbers a,b,c,d € IR. show that zw + wz is real.?

Update:

sorry i think was meant to be just R

Science & Mathematics / Mathematics

Answers & Comments

Anonymous

Verified answer

Multiplication is commutative... so I dont see how zw is any different from wz. The product of z and w is being added to itself. And an imaginary component will exist in the product.

If a,b,c,d are real, then wz = zw = (ac - bd) + (ad + bc)i...

and so zw + wz = 2(ac - bd) + 2(ad + bc)i

And Im unsure what you mean by a,b,c,d in the set of IR. What is IR?

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