1. Ok, we know they are great, but can we add and subtract them?
Complex numbers…
Ok, we know they are great, but can we add and subtract them?

2. Reminders about complex numbers…
a+bi
Real part and Imaginary part
Can be plotted on a graph
Can be represented as a vector

3. So how to add… We can only combine like terms Real + Real = Real
Imaginary + Imaginary = Imaginary
With two complex numbers, we treat the real parts and the imaginary parts as separate problems

4. Two problems? (4 + 7i) - (3 + 5i) = (4 + 7i) + (-3 - 5i)

5. Examples (-3 - 8i) - (-2 + 4i) = (-3 - 8i) + (2 - 4i)

7. Z1=1+5i, Z2=6+2i Treat as two vectors
When we add vectors, you draw one vector, then start the second vector at the terminus of the first
Order doesn’t matter
Treat as two vectors
When we add vectors, you draw one vector, then start the second vector at the terminus of the first
Order doesn’t matter

8. Homework
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Numbers 1-23