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Fibonacci integers


Hi, let
m={1,1},{1,2}
and n be an  integer

MatrixPower[m, n]  = = {{Fibonacci[2 n - 1], Fibonacci[2 n]}, 
{Fibonacci[2 n], Fibonacci[2 n + 1]}}

should be indentically True

I have tried FunctionExpand and FullSimplify without success, any idea ?
Thanks in advance,

Andre



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