Complex numbers Flashcards Preview

Further maths A LEVEL > Complex numbers > Flashcards

Flashcards in Complex numbers Deck (8):
1

imaginary number

any form of 'ai' ('i' = sqr1)

2

complex number

'a+bi'

3

i^2

-1

4

simplifying '1/(a+bi)'

treat like a surd and multiply nominator and denominator by 'a-bi'

5

complex conjugate

'z=a+bi' and 'z*=a-bi' are both solutions to an equation

6

if 2 complex numbers are equal...

their real parts are equal and their imaginary parts are equal

7

the rule for addition

(x+iy)+(u+iv) = (x+u)+i(y+v)

8

the rule for subtraction

(x+iy)-(u+iv) = (x-u)+i(y-v)