1. First things first, the multiplication of two complex numbers is:
2. (a + ib)x(c + id) = (ac – bd) +i(bc + ad)
3. All the arguments applied to the addition of complex numbers applies to this as well, that is to say the absolute value and the argument of the result change in a complex manner (we will see how it can be simplified in further blogs).
4. So, to simply help you to remember these formulas, here comes the Multiplier Man!
5. Consider only the slanted lines in the face of Multiplier Man and the red line joining the extreme left and right lines ( a and d).
6. The terms in the multiplication are simply made by the junctions of the slanted lines.
7. And anything above the nose level in the face is combined by a minus sign and anything below nose level by the plus sign.
8. And as usual, real and imaginary parts are combined by the plus sign.
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