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Patrick_OFinnigan
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How are Complex Numbers defined?
 © = {a+bi or a+ib  a,b є ®; i =
 √(1)}

Complex Number addition / subtraction?
(a+ib) ± (c+id) = (a±c) + i(b±d)

The powers of i give?
 (i)^{n} = {i, 1, i, 1, ...  for n≥1}
 i^{1}, i^{2}, i^{3}, i^{4}, ...
This works off of mod4.

The conjugate of z is denoted as what?

What is the conjugate for z = a+ib?
z = a+ib
 _
 z = aib
 _
 z = z when b = 0.

Complex Number Multiplication?
(a+ib)(c+id) = (acbd) + i(ad+bc)

z = a+ib
_
z = aib
_
z ∙ z = ?

