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- W3209217529 abstract "In this paper we find a third order unimodular matrix, none of whose entries is $1$ or $-1$, such that when each entry of the matrix is replaced by its cube, the resulting matrix is also unimodular. Further, we find third order square integer matrices $(a_{ij})$, none of the integers $a_{ij}$ being $1$ or $-1$, such that $det{(a_{ij})}=k$ and $det{(a_{ij}^3)}=k^3$, where $k$ is a nonzero integer." @default.
- W3209217529 created "2021-11-08" @default.
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- W3209217529 date "2021-10-25" @default.
- W3209217529 modified "2023-09-23" @default.
- W3209217529 title "A diophantine problem concerning third order matrices." @default.
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