Complex Numbers Flashcard

Front

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

Back

The complex conjugate of a complex number a + bi is a - bi.

Front

What is the value of i^2?

Back

i^2 = -1.

Front

How do you subtract two complex numbers?

Back

To subtract two complex numbers, subtract their real parts and their imaginary parts separately.

Front

What is the result of (4 - 5i) - (-2 + 6i)?

Back

The result is 6 - 11i.

Front

What is the formula for dividing complex numbers?

Back

To divide complex numbers, multiply the numerator and denominator by the conjugate of the denominator.

Front

What is the complex conjugate of 7 - 3i?

Back

The complex conjugate is 7 + 3i.

Front

Back

The result is 1 - i.

Front

What property is used when multiplying complex numbers?

Back

The distributive property is used when multiplying complex numbers.

Front

What is the standard form of a complex number?

Back

The standard form of a complex number is a + bi, where a and b are real numbers.

Front

How do you add two complex numbers?

Back

To add two complex numbers, add their real parts and their imaginary parts separately.