IMAGINARY AND COMPLEX NUMBERS
Higher Concepts of Mathematics
The important information from this chapter is summartized below.
Imaginary and Complex Numbers Summary
An Imaginary number is the square root of a negative number.
A complex number is any number that contains both a real and imaginary
Addition and Subtraction of Complex Numbers
Add/subtract the real terms together, and add/subtract the imaginary terms
of each complex number together. The result will be a complex number.
Multiplication of Complex Numbers
Treat each complex number as an algebraic term and multiply/divide
using rules of algebra. The result will be a complex number.
Division of Complex Numbers
Put division in fraction form and multiply numerator and denominator by
the conjugate of the denominator.
Rules of the Imaginary Number i
i2 = (i)(i) = -1
i3 = (i2)(i) = (-1)(i) = -i
i4 = (i2)(i2) = (-1)(-1) = +1