MHB What are the real and imaginary parts of z in terms of w?

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To express the real and imaginary parts of z in terms of w, the equation 1/z = 1/2 + 1/(iw) + 1/(i+1)w needs to be manipulated. The forum encourages users to share their attempts to solve the problem to facilitate better assistance. Duplicate postings are discouraged to avoid wasting helpers' time. The discussion emphasizes the importance of clarity in questions and the need for relevant mathematical context. Providing initial attempts can lead to more effective guidance in solving the equation.
yenyen
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Given that 1/z = 1/2 + 1/(iw) + 1/(i+1)w
Express the real and imaginary parts of z in term of w.Someone please help me to solve it.. THANK YOU!
 
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Hello and welcome to MHB, yenyen! :D

I have deleted the duplicate posting of this thread. We ask that you only post a question once. Posting a question multiple times can lead to duplication of effort on the part of our helpers, whose time is valuable.

I have moved the remaining thread here, because this question does not involve calculus or analysis.

We also ask that people posting questions show what they have tried so that our helpers know where you are stuck and how best to help. Can you post what you have tried?
 
Thread 'Erroneously finding discrepancy in transpose rule'

Thread 'Erroneously finding discrepancy in transpose rule'

Obviously, there is something elementary I am missing here. To form the transpose of a matrix, one exchanges rows and columns, so the transpose of a scalar, considered as (or isomorphic to) a one-entry matrix, should stay the same, including if the scalar is a complex number. On the other hand, in the isomorphism between the complex plane and the real plane, a complex number a+bi corresponds to a matrix in the real plane; taking the transpose we get which then corresponds to a-bi...
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