What is the conjugate of a complex number $$a + bi$$ ?

The conjugate of $$a + bi$$ is $$a - bi$$ .

How do you find the modulus of a complex number $$a + bi$$ ?

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

What is the distributive property in the context of complex numbers?

The distributive property states that $$a(b + c) = ab + ac$$ , which applies to complex numbers as well.

What is the significance of multiplying by $$i$$ ?

Multiplying by $$i$$ rotates a complex number 90 degrees counterclockwise in the complex plane.

What happens when you multiply two imaginary numbers?

The product of two imaginary numbers $$(bi)(di) = bdi^2 = -bd$$ , which is a real number.

Multiplying Complex Numbers Flashcards

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16 questions

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1.

FLASHCARD QUESTION

Front

What is a complex number?

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2.

FLASHCARD QUESTION

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What is the product of two complex numbers?

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3.

FLASHCARD QUESTION

Front

What is the imaginary unit?

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4.

FLASHCARD QUESTION

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How do you multiply a complex number by a real number?

Back

5.

FLASHCARD QUESTION

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Back

6.

FLASHCARD QUESTION

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7.

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