What is the result of $$\text{sqrt}(-a^2)$$ ?

The result is $$ai$$ , where 'a' is a real number.

How do you add two complex numbers (a + bi) + (c + di)?

Add the real parts and the imaginary parts: (a + c) + (b + d)i.

How do you subtract two complex numbers (a + bi) - (c + di)?

Subtract the real parts and the imaginary parts: (a - c) + (b - d)i.

What is the modulus of a complex number a + bi?

The modulus is given by $$\text{modulus} = \text{sqrt}(a^2 + b^2)$$ .

What is the polar form of a complex number?

The polar form is expressed as $$r(\text{cos}(\theta) + i\text{sin}(\theta))$$ , where r is the modulus and θ is the argument.

What is the argument of a complex number a + bi?

The argument is the angle θ formed with the positive x-axis, calculated as $$\theta = \text{tan}^{-1}(\frac{b}{a})$$ .

Complex Numbers Review Flashcards

Student preview

15 questions

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1.

FLASHCARD QUESTION

Front

What is the imaginary unit 'i'?

Back

2.

FLASHCARD QUESTION

Front

Back

3.

FLASHCARD QUESTION

Front

How do you multiply two complex numbers (a + bi)(c + di)?

Back

4.

FLASHCARD QUESTION

Front

Back

The result is -1.

5.

FLASHCARD QUESTION

Front

Back

The simplified form is 18.

6.

FLASHCARD QUESTION

Front

What is the result of multiplying 2i by -3i?

Back

The result is -6.

7.

FLASHCARD QUESTION

Front

Back

The simplified form is 5i.

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