11493381
Description
Section 1.4 - Complex Numbers
- The Imaginary Unit i
- i = square root less than equal to -1
- where i^2 = -1
- i = square root less than equal to -1
- A set of complex numbers
- a+bi
- a = real number
- b = imaginary number
- b not equal to 0
- bi = pure imaginary number
- a = real number
- a+bi
- Equity of Complex Numbers
- a+bi = c+di if a=c and b=d
- a+bi = c+di if a=c and b=d
- Adding and Subtracting Complex Numbers
- Adding (a+bi) + (c+di) = (a+c) + (b+d)i
- Subtracting (a+bi) - (c+di) = (a-c) + (b-d)i
- Adding (a+bi) + (c+di) = (a+c) + (b+d)i
- Conjugate of a Complex Number
- a+bi = a-bi
- (a+bi)(a-bi) = a^2 + b^2
- (a+bi)(a-bi) = a^2 + b^2
- a-bi = a+bi
- (a-bi)(a+bi) = a^2 + b^2
- (a-bi)(a+bi) = a^2 + b^2
- a+bi = a-bi
- Principle Square Root of a Negative Number
- square root -b = i square root b
- square root -b = i square root b
0 comments
Want to create your own Mind Maps for free with GoConqr? Learn more.