Im a bit stuck on understanding the following situation:
Consider the relation:
R = {(0, 2),(0, 3),(1, 0),(1, 3),(2, 0),(2, 3)}
On the set A.
A = {0, 1, 2, 3, 4}
Then to define R to the power 2, 3 and four, I thought it could be solved by defining the power to the amount of "steps" that can be taken. For example from 0 i can go to 2 and back to 0, so (0,0) can be added to the new relation. In this way I am able to answer it:
R to the power of 2 = {(0, 0),(0, 3),(1, 2),(1, 3),(2, 2),(2, 3)},
I am not sure if this is the correct way of solving it (probably not) and during my search for answers I only find information on powersets.
Any background information would be helpful.
Thanks!