complex algebra

1. Complex number
A combination of a real and an imaginary number in the form a + bi
a and b are real numbers, and
i is the "unit imaginary number" √(−1)
The values a and b can be zero.
These are all complex numbers: 1 + i, 2 − 6i, −5.2i, 4
Real Numbers are numbers like:
1 12.38 −0.8625 3/4 √2 1998
Nearly any number you can think of is a Real Number!
Imaginary Numbers when squared give a negative result.
Normally this doesn't happen, because:
 when we square a positive number we get a positive result, and
 when we square a negative number we also get a positive result (because a
negative times a negative gives a positive), for example −2 × −2 = +4
But just imagine such numbers exist, because we will need them.
The "unit" imaginary number (like 1 for Real Numbers) is i, which is the square
root of −1
Because when we square i we get −1
i2 = −1
Examples of Imaginary Numbers:
3i 1.04i −2.8i 3i/4 (√2)i 1998i
And we keep that little "i" there to remind us we need to multiply by √−1

2. Complex number

3. Complex number

4. Complex number

5. Complex number

6. Complex number

7. Complex number

8. Complex number
Complex Plane

9. Complex number

10. Complex number

11. Complex number

12. Complex number