Week 8: Complex Numbers

Question 1

What is the form of a complex number? How is it denoted?

Answer 1

Denoted by z
Form of a complex number is:
z = x +iy
Where 
Re[z] = real component = x
Im[z] = imaginary component = y

Question 2

What operations can be used when working with complex numbers?

Answer 2

Subtraction/Addition 
Multiplication/Division
Expansion/Factorisation
Collection of like terms 
BE AWARE: i² = i * i = -1

Question 3

What is denoted by | z | ?

Answer 3

| Result is always a real number.

z | = modulus of the complex number

Question 4

What is the modulus of a complex number?

Answer 4

The modulus is the length of the complex number.

Question 5

What is the relationship between a complex number, its conjugate and it’s modulus?

Answer 5

z x z̄ = |z|²