Complex Numbers 6.1-A.

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Presentation transcript:

Complex Numbers 6.1-A

Complex Number Complex Number- consists of two parts (the real part and the imaginary part). Imaginary Number- the set of numbers defined by , where . Imaginary Real

Complex Conjugate Complex Conjugate- the complex conjugate z’ of z=a+bi is defined as z’=a-bi. Two complex numbers are equal if and only if their real and imaginary parts are equal. Ex.

Addition/Subtraction of Complex Numbers If a+bi and c+di are two complex numbers, then Sum: (a+bi)+(c+di) = (a+c)+(b+d)i, Different: (a+bi)+(c+di) = (a+c)+(b+d)i,

The absolute value The absolute value of a complex number Let z= a+bi Then