Chapter 2 Flashcards
Complex numbers
numbers that can be written in standard form (x + yi, where i^2 = -1)
If z = z + yi, the coefficient x is the _ part
real
If z = z + yi, the coefficient y is the _ part
imaginary
x + yi = u + vi if
x=u and y=v
Complex numbers in the form of _ are pure imaginary numbers
0 + yi (where y does not equal 0)
Complex numbers in the form of _ are real numbers
x + 0i
Real numbers are a subset of _ numbers
complex
If either the real part or the imaginary part of complex numbers = _, you don’t have to write it, expect for 0 + 0i = 0
0
On a complex plane, what is the horizontal axis
real axis
On a complex plane, what is the vertical axis
imaginary axis
How to write square root of -a with the imaginary unit i
square root of ai
How should you express your final answer
in standard form
What are complex conjugates
When you multiply them (f.e. 3 + 2i and 3- 2i), you obtain a real number
Form for complex conjugates
x + yi and x - yi
(x + yi) * (x - yi)
x^2 + y^2
