Complex Numbers Notes Flashcard

Front

Simplify: √(-25)

Back

5i

Front

What is the standard form for a complex number?

Back

a + bi

Front

A complex number can be expressed as a + bi. What does 'b' represent?

Back

the imaginary part of the complex number

Front

What is the conjugate of the complex number 3 + 4i?

Back

3 - 4i

Front

What is the product of (2 + 3i) and (2 - 3i)?

Back

13

Front

What is the sum of (1 + 2i) and (3 + 4i)?

Back

4 + 6i

Front

What is the difference of (5 + 6i) and (2 + 3i)?

Back

3 + 3i

Front

What is the modulus of the complex number 3 + 4i?

Back

5

Front

What is the argument of the complex number 1 + i?

Back

π/4 or 45 degrees

Front

What is the result of (1 + i)(1 - i)?

Back

2