Considering $A$ a multidimensional array $n\times\cdots \times n$ ($n$ repeated $2p$ times), is there any way to arrange its elements in a $n^p\times n^p$ matrix $\widehat{A}$ such that $\det \widehat{A} = \det A$ ?
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How is $\det {A}$ defined? – darij grinberg Aug 04 '18 at 16:50
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It is defined the following way: \begin{equation} \det{A} = \frac{1}{n!}\sum_{i_1^{(1)}=1}^n\cdots\sum_{i_n^{(1)}=1}^n\cdots \sum_{i_1^{(q)}=1}^n\cdots\sum_{i_n^{(q)}=1}^n\epsilon_{i_1^{(1)}\cdots i_n^{(1)}}\cdots\epsilon_{i_1^{(q)}\cdots i_n^{(q)}} \prod_{k=1}^{n}A_{i_k^{(1)}\cdots i_k^{(q)}} \end{equation} – Roberto Dias Algarte Aug 04 '18 at 18:20