The Fibonacci sequence (Fn)n=1,2,... is defined recursively as Fn -- 1, 1, Fn-1 + Fn-2, n=1, n = 2, n>2. Let xn = [Fn, F
Posted: Sun May 15, 2022 8:50 am
The Fibonacci sequence (Fn)n=1,2,... is defined recursively as Fn -- 1, 1, Fn-1 + Fn-2, n=1, n = 2, n>2. Let xn = [Fn, Fn-1]T, for n = 2,3,... = Let X E R2x2 and the diagonal matrix A ER2x2 be such that A = XAX-1. Show that n = XA-2x-, = n > 2. Compute X and A in Matlab using [X,L] = eig(A). Compute also F10, F20 and F30. ] = .