1. Complex numbers are named as “complex” to sound it like that it is really something complex and out of this world but, this is not the case!
2. Complex numbers are also developed on the same lines as the real numbers are invented.
3. To explain how it is same, let us understand it in terms of the objects and its shadow.
4. Suppose you have one light source and a stick fixed inside the ground.
5. For different angles of the light source you will get the corresponding shadow of the stick on the ground.
6. What will happen if you keep the light source exactly above the stick? Does the shadow of the stick cease to exist? No right?
7. The real numbers are like the situations in which the shadows are observable directly (that’s why real numbers).
8. And the complex numbers are like the shadow when the light source is exactly above the stick and is not directly observable and hence we have to “imagine” that it has a shadow.
Few formalized representations:
A complex number is represented as a + ib, where a, b are real numbers and i = √-1.
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