Mathematics Homework Solutions
#215071
Fibonacci Sequence : Diagonalization of Iteration Matrix
The Fibonacci sequence is defined recursively as f_(n+1) = f_n + f_(n-1) .
Obtain a closed form formulas for f_n using the iteration matrix (0,1,1,1) applied to the vector .. (see attached file). Consider a similar transform to diagonalize the iteration matrix.
The 5-pages solution shows how to obtain the general closed-form expression for the n'th term of the Fibonacci sequence using a matrix approach.
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