Monday, January 7, 2013

Section 2.4: Complex Numbers

Imaginary unit i is used to represent the square root of a negative number, where i equals the square root of -1. 
Complex numbers are in standard form a + bi, where a and b are real numbers.

To be considered a complex number, the expression must be in the exact form a + bi. Examples of complex numbers in standard form:


When raising i to various powers, follow this simple pattern:





Complex numbers cannot be in the denominator, so in order to get it into the top, multiply the whole fraction be the conjugate (a - bi).

That seems to be about it for imaginary and complex numbers! 

- Jessica



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