Complex Conjugates (Jump to: Lecture | Video )

Complex Numbers

A complex number is any number written in the form:

a + bi

Where a and b are real numbers, and i is the imaginary unit.

Complex Conjugates

Complex Conjugates are two complex numbers written in the form:

a + bi, a - bi

Where a and b are real numbers, and i is the imaginary unit. The product of two complex conjugates is always a real number.

Below we're multiplying two complex conjugates. As you can see, our answer is a single real number. This will be useful information for future lectures:

Figure 1.

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