Complex numbers Flashcards

1
Q

imaginary number

A

any form of ‘ai’ (‘i’ = sqr1)

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2
Q

complex number

A

‘a+bi’

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3
Q

i^2

A

-1

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4
Q

simplifying ‘1/(a+bi)’

A

treat like a surd and multiply nominator and denominator by ‘a-bi’

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5
Q

complex conjugate

A

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

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6
Q

if 2 complex numbers are equal…

A

their real parts are equal and their imaginary parts are equal

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7
Q

the rule for addition

A

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

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8
Q

the rule for subtraction

A

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

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