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A relation between the determinant and the permanent on singular matrices

✍ Scribed by Antónia Duffner, M.; da Cruz, Henrique F.


Book ID
120165048
Publisher
Elsevier Science
Year
2013
Tongue
English
Weight
255 KB
Volume
438
Category
Article
ISSN
0024-3795

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On the matrices with constant determinan
✍ S. Akbari; H.-R. Fanaı̈; K. Mahmoudian 📂 Article 📅 2003 🏛 Elsevier Science 🌐 English ⚖ 161 KB

Let µ m be the group of mth roots of unity. In this paper it is shown that if m is a prime power, then the number of all square matrices (of any order) over µ m with non-zero constant determinant or permanent is finite. If m is not a prime power, we construct an infinite family of matrices over µ m