Is there a field in maths studies the relationship between a group of numbers or matrices?
for example, we have two materices:
a = (1,4,6,88)
b = (2,8,12,176)
It's obvious that when we multiply each element in a by 2 we get b elements.
Another example to clarify what I need:
(When we add 2 to each number we get the next one)
These are simple examples. Are there some mathematical rules help in getting more complex relationships?