# More fun in 2016, Part 17

Algebra Level 5

How many real $$2016\times 2016$$ matrices $$A$$ are there such that $$A^{2016}\neq$$ 0 while $$A^{2017}=$$ 0, where 0 represents the zero matrix.

Enter 666 if you come to the conclusion that infinitely many such matrices $$A$$ exist.

Hint: Think about the minimal polynomial of $$A$$.

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