# Determine this!

Algebra Level 5

Let $$A=(a_{ij})$$ be the $$2016\times 2016$$ matrix with $$a_{i,i}=0$$ and $$a_{i,j}=1$$ when $$i\neq j$$, meaning that the diagonal entries are all 0 and the off-diagonal entries are all 1. Find $$\det(A)$$.

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