Complex numbers Flashcards
1
Q
imaginary number
A
any form of ‘ai’ (‘i’ = sqr1)
2
Q
complex number
A
‘a+bi’
3
Q
i^2
A
-1
4
Q
simplifying ‘1/(a+bi)’
A
treat like a surd and multiply nominator and denominator by ‘a-bi’
5
Q
complex conjugate
A
‘z=a+bi’ and ‘z*=a-bi’ are both solutions to an equation
6
Q
if 2 complex numbers are equal…
A
their real parts are equal and their imaginary parts are equal
7
Q
the rule for addition
A
(x+iy)+(u+iv) = (x+u)+i(y+v)
8
Q
the rule for subtraction
A
(x+iy)-(u+iv) = (x-u)+i(y-v)