Conjugate Modulus Flashcards
Properties
1
Q
z double conjugate =
A
z
2
Q
z conjugate = z, when?
A
when z is real
3
Q
z conjugate = -z, when?
A
when z is imaginary
4
Q
(z=w) conjugate =
A
(z) conjugate + (w) conjugate
5
Q
(zw) conjugate =
A
(z) conjugate x (w) conjugate
6
Q
z-(z) conjugate =
A
2 Im(z)
7
Q
z+(z) conjugate =
A
2 Re(z)
8
Q
(z)^2 conjugate =
A
(z^2) conjugate
9
Q
z(z) conjugate =
A
x^2 + y^2
10
Q
(z)^2 modulus =
A
x^2 + y^2
11
Q
(z) modulus =
A
root (x^2 + y^2)
12
Q
(z/w) modulus =
A
(z) modulus / (w) modulus
13
Q
(zw) modulus =
A
(z) modulus x (w) modulus
14
Q
(z + w ) modulus
A
(z) modulus + (w) modulus
15
Q
(z^2) modulus =
A
(z)^2 modulus
