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(The Fibonacci sequence.) The sequence of Fibonacci numbers is defined recursively as follows: Fo= 0, F = 1, and Fn = Fn-1 + Fn-2

 


(The Fibonacci sequence.) The sequence of Fibonacci numbers is defined recursively as follows: Fo= 0, F = 1, and Fn = Fn-1 + Fn-2 for n 2. a) Use the definition for F above to find the numbers F2, F3, F4, and F5. Consider the matrix AF - J b) By hand, calculate A2, A, A, and A. c) What do your answers in part b) indicate?

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