Complex Numbers Flashcards
1
Q
How do we add complex numbers?
A
c1 = a1 + ib1 c2 = a2 + ib2
c1 ± c2 = (a1 ± a2) + i(b1 ± b2)
2
Q
How do we multiply complex numbers?
A
c1 = a1 + ib1 c2 = a2 + ib2
c1 x c2 = (a1a2 - b1b2) + i(a1b2 + a2b1)
3
Q
What is a complex conjugate?
A
c*
i.e.: c = a + ib
c* = a - ib
4
Q
How do we calculate the product of a complex and its conjugate?
A
cc* = (a + ib)(a - ib)
5
Q
What are the properties of the product cc*?
A
Always real and positive.
