ashokkumar
Mr
Prove:
conjugate of (1/z) = 1 / conjugate of z
conjugate of (1/z) = 1 / conjugate of z
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Complex Number Proof. (1 Viewer)
- Thread starter ashokkumar
- Start date
ninetypercent
ninety ninety ninety
Let z = x + iy
LHS = conguate of (1/z)
= conjugate of
= conjugate of
= conjugate of
=
RHS = 1/conjugate of z
=
=
=
therefore, LHS = RHS
conjugate of (1/z) = 1/conjugate of z
LHS = conguate of (1/z)
= conjugate of
= conjugate of
= conjugate of
=
RHS = 1/conjugate of z
=
=
=
therefore, LHS = RHS
conjugate of (1/z) = 1/conjugate of z
untouchablecuz
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nonsenseTM
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how do you type in stuff like that?
Latex Equation Editor. Link is at the bottom of your page.
ashokkumar
Mr
oooh i see. so when we take the conjugate in this case, only the number has its sign changed?
gurmies
Drover
It appears to me that you should have also mentioned that |1/z|^2 = (1/z)(1/z)*, and then divide both sides by 1/z. Just looks incomplete to me without it =/}.)