Complex numbers that are to be graphed are usually in the form of an equation, such as 2 + 2i, with 2i signifying the imaginary number. Think of "i" as being the same as "x". When graphing, you have the X-axis (horizontal) and the Y-axis (vertical). The first number is always graphed on the X-axis. The second number, because we don't know if it's positive or negative being that we don't know "i", must be graphed at both 2 and -2 on the Y-axis.
This is a graph of the numbers by the complex number formula (z-1)/(z+1) Refer to the related link.
The idea of graphing complex numbers was published by Argand in 1806. See related link.
It's actually quite hard to graph complex numbers - you would need a four-dimensional space to graph them adequately. I believe it's more convenient to find zeros analytically for such functions.
A graph that used the same one of the numbers more than once.
The answer will depend on what numbers you wish to graph.
When you have numbers on the graph the are not whole numbers.
If you graph it, you will find there is only one real root at approx x = -0.868145. The other 2 roots are complex numbers. I don't remember the steps, to get that.
I suggest asking separate questions for complex numbers, and for matrices. Complex numbers are used in a variety of fields, one of them is electrical engineering. As soon as AC circuits are analyzed, it turns out that complex numbers are the natural way to do this.
Complex numbers are basically "numbers in two dimensions". You can extend them to more dimensions; one superset that is sometimes used is the quaternions, which are numbers in four dimensions.
No difference. The set of complex numbers includes the set of imaginary numbers.
Complex math covers how to do operations on complex numbers. Complex numbers include real numbers, imaginary numbers, and the combination of real+imaginary numbers.
"Color wheel graphs" are commonly used. At each point in the complex plane, the graph is a color, where the brightness represents the magnitude, and the hue represents the complex angle. Thus, positive values are cyan, negative values are red, and pure imaginary values are green or magenta. Other complex numbers are mixtures of these. Zero is black, and infinity is white. (Other schemes are also in use)