In that case, pick up a good book on linear algebra. Gilbert Strang's Introduction to Linear Algebra is inexpensive and solid on the fundamentals, and there are related lectures from Strang's MIT course on the subject [1]. Jim Hefferon's Linear Algebra is also good and you can download it for free (GFDL) [2]. It takes a different approach to Strang's book. The two work well together for self-study since for most subjects you can see two different approaches.
Also, for this particular problem, see the "Topic: Linear Recurrences" chapter of Hefferon's book. It actually uses the Fibonacci series as its example (this example seems popular with authors of textbooks and lecture notes).
Also, for this particular problem, see the "Topic: Linear Recurrences" chapter of Hefferon's book. It actually uses the Fibonacci series as its example (this example seems popular with authors of textbooks and lecture notes).
[1] http://ocw.mit.edu/courses/mathematics/18-06-linear-algebra-...
[2] http://joshua.smcvt.edu/linearalgebra/