Equality of Complex Numbers (Leaving Cert Mathematics): Flashcards
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When are two complex numbers equal?
When are two complex numbers equal?
When real parts AND imaginary parts match exactly
If , then...
If , then...
and
Standard form of a complex number
Standard form of a complex number
First step solving complex number equality
First step solving complex number equality
Rearrange both sides to standard form ()
What to separate after rearranging to standard form?
What to separate after rearranging to standard form?
Real and imaginary parts
What is the imaginary part of a complex number?
What is the imaginary part of a complex number?
The coefficient of
Imaginary part when no term visible
Imaginary part when no term visible
After separating, what to equate first?
After separating, what to equate first?
Real parts with real parts
After real parts, what to equate next?
After real parts, what to equate next?
Imaginary parts with imaginary parts
Two requirements for complex number equality
Two requirements for complex number equality
Real parts equal AND imaginary parts equal