This paper derives explicit formulas for determinants and norms in circulant matrices, highlighting Fibonacci quaternions.
In literature, there exist many papers that compute determinants and some kinds of norms of circulant matrices involving some well-known number sequences. In this paper, we obtain an explicit formula for the determinant of a circulant matrix involving the well-known Fibonacci quaternions. Then, we obtain the Euclidean and spectral norms of these matrices.
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Akbıyık et al. (2025) studied this question.
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