MathsGee is Zero-Rated (You do not need data to access) on: Telkom |Dimension Data | Rain | MWEB

0 like 1 dislike
16 views
What is the general formula for any complex number?
| 16 views

0 like 0 dislike

A complex number is part of the set of complex numbers which we represent as the symbol, $\mathbb{C}$. Thus any complex number is part of this set $\mathbb{C}$. Suppose we have complex number, $z$.

Now since its a complex number we can say that, $z$ is part of the set of complex numbers, $\mathbb{C}$, which we write as $z \in \mathbb{C}$
Now the general formula for our complex number, or any complex number, can be written as:
$z=a+b i$
where
$a$ and $b$ are real numbers i.e. $a$ and $b$ in the set of real numbers, $\mathbb{R}$, which we can again write as $a, b \in \mathbb{R}$

The complex number is made up of two parts. They are:

• The real part, which is $a$ (We can show this as $\operatorname{Re}(z)=a$ )
• The imaginary part, the number in front of the $i$, which is $b$ (We can show this as $\operatorname{Im}(z)=b$ )

(because its like how we show real numbers on the Cartesian plane $(x, y))$

by Bronze Status (8,688 points)

0 like 1 dislike