Yeah, I'm trying to remember what I know about raising a matrix to a power. Oh, the natural number powers of a matrix of natural numbers are again natural numbered matrices. So we can then reinterpret them as a graph. Which means given a pointed graph that generates a sequence, we can construct a graph that generates every nth value of the series. Which is pretty non obvious I think!

Well the determinant of the product is the product of the determinants, so \\(1 \centerdot 0 - 1 \centerdot 1 = -1\\) means that for the Fibonacci graph, the determinant of the power is going to alternate from negative one and one.

Well the determinant of the product is the product of the determinants, so \\(1 \centerdot 0 - 1 \centerdot 1 = -1\\) means that for the Fibonacci graph, the determinant of the power is going to alternate from negative one and one.