IMAGINARY AND COMPLEX NUMBERS
Higher Concepts of Mathematics
Summary
The important information from this chapter is summartized below.
Imaginary and Complex Numbers Summary
Imaginary Number
An Imaginary number is the square root of a negative number.
Complex Number
A complex number is any number that contains both a real and imaginary
term.
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
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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
MA-05
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