Complex Numbers Flashcards
1
Q
What is a complex conjugate
A
The same real number but with the imaginary part multiplied by -1.
E.g:
Z = a + bi
Z* = a -bi
It is denoted by a bar over the variable e.g Z(bar).
The following is w divided by the conjugate of w
2
Q
What is the polar form of complex numbers
A
Z = r(cos(θ) + isin(θ))
3
Q
What is the modulus of the complex number
A
The square-root of the square of the real aspect plus the square of the imaginary aspect
4
Q
What is the argument of a complex number
A
- The angle between the positive real axis and the complex number, measured anti-clockwise
5
Q
Argument equation
A
arg z = φ
Where z is a complex number
6
Q
How do you find the argument
A
tan^1 (b/a) = φ
7
Q
What is eulers formula
A
A way of expressing complex numbers with respect to e
8
Q
What is de Moivres’ theorem
A
