Matrix proof of Binet's formula?

I know how to derive Binet's closed form solution for the Fibonacci numbers via diagonalising the generating matrix {{1,1},{1,0}} through eigendecomposition. It's an elementary result in linear algebra (I've seen it in a pset for Harvard Math 25, for example, and we covered it as a toy proof in first year physics lo these many years ago). But I need a cite for the book proof. I don't have access to a university-level Maths library any more, but I'd like a reference to a text with a relatively straightforward exposition.