# 2016-9 Determinant of a matrix

Let $$A=(a_{ij})_{ij}$$ be an $$n\times n$$ matrix, where $a_{ij}=\begin{cases} 3 &\text{if }i=j,\\ (-1)^{\lvert i-j\rvert}&\text{otherwise.}\end{cases}$ Compute the determinant of $$A$$.

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