-
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}
- i1, i2, i3, i4, ...
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 = a-ib
- _
- z = z when b = 0.
-
Complex Number Multiplication?
(a+ib)(c+id) = (ac-bd) + i(ad+bc)
-
z = a+ib
_
z = a-ib
_
z ∙ z = ?
|
|