(→Complex Arithmetic) |
(→Complex Arithmetic) |
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<math> (a + bi) - (c + di) = (a - c) + (b - d)i </math> | <math> (a + bi) - (c + di) = (a - c) + (b - d)i </math> | ||
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| + | '''Multiplication''' | ||
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| + | <math> (a + bi) * (c + di) = (ac - bd) + (ad + bc)i </math> | ||
Revision as of 11:11, 5 September 2008
Notation
$ a+bi $ where a and b are real numbers, and i is the imaginary unit, which has the property $ i^2 = -1 $. The real number a is called the real part of the complex number, and the real number b is the imaginary part.
Complex Arithmetic
Addition and Subtraction
$ (a + bi) + (c + di) = (a + c) + (b + d)i $
$ (a + bi) - (c + di) = (a - c) + (b - d)i $
Multiplication
$ (a + bi) * (c + di) = (ac - bd) + (ad + bc)i $
