Complex numbers Flashcards
1
Q
What is a complex number?
A
a + bi
2
Q
When adding and subtracting complex numbers what occurs?
A
(a + bi) + (c + di) = (a+c) + (bi + di)
a + bi) - (c + di) = (a-c) + (bi - di
3
Q
What is i?
A
√ -1
4
Q
What is i^2?
A
-1
5
Q
What is i^3?
A
-i
6
Q
What is 1^4?
A
1
7
Q
What is the complex conjugate of a + bi?
A
a - bi
8
Q
If z = a - bi, what is z*?
A
z* = a + bi
9
Q
What do you do when you divide complex numbers?
A
- Put the equation into a fraction form then simplify by multiplying it by a fraction of the denominator’s complex conjugate
