Diagonalize the Fibonacci matrix by completing S 1 : " 1 1 1 0# = " 1 2 1 1 #"1 0 0 2 #"

Chapter 5, Problem 5.3.5

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Diagonalize the Fibonacci matrix by completing S 1 : " 1 1 1 0# = " 1 2 1 1 #"1 0 0 2 #" #. Do the multiplication S kS 1 1 0 to find its second component. This is the kth Fibonacci number Fk = ( k 1 k 2 )/(12).

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