1. Complex Numbers
6.1-A

2. Complex Number
Complex Number- consists of two parts (the real part and the imaginary part).
Imaginary Number- the set of numbers defined by , where
Imaginary
Real

3. Complex Conjugate
Complex Conjugate- the complex conjugate z’ of z=a+bi is defined as z’=a-bi.
Two complex numbers are equal if and only if their real and imaginary parts are equal.
Ex.

4. Addition/Subtraction of Complex Numbers
If a+bi and c+di are two complex numbers, then
Sum: (a+bi)+(c+di) = (a+c)+(b+d)i,
Different: (a+bi)+(c+di) = (a+c)+(b+d)i,

5. The absolute value The absolute value of a complex number Let z= a+bi
Then