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I am suppose to answer the following statement, if it is true or false, "The conjugate of the sum of two complex numbers is equal to the sum of the conjugates of the two complex numbers." I also have...

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I am suppose to answer the following statement, if it is true or false, "The conjugate of the sum of two complex numbers is equal to the sum of the conjugates of the two complex numbers." I also have to give a example to support the answer.
Answered Same Day Dec 21, 2021

Solution

Robert answered on Dec 21 2021
123 Votes
We wish to determine whether the following statement is true or false:
“The conjugate of the sum of two complex numbers is equal to the sum of the conjugates
of the two complex numbers.”
We claim that this statement is true. In mathematical language, the statement reads

1 2 1 2.z z z z ...
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