The Basics (Leaving Cert Mathematics): Flashcards

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Definition of imaginary unit ii

i=−1i=\sqrt{-1}

Form of an imaginary number

aiai where aa is real

Form of a complex number

a+bia+bi where a,ba,b are real

Complex number purely imaginary when

a=0a=0

Complex number purely real when

b=0b=0

Value of i2i^2

−1-1

Value of i3i^3

−i-i

Value of i4i^4

11

Repeating pattern for powers of ii

i,−1,−i,1i,-1,-i,1

Who introduced notation ii

Euler

Simplified form of −1\sqrt{-1}

ii

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