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On $k$-circulant matrices involving the Jacobsthal numbers

On $k$-circulant matrices involving the Jacobsthal numbers

Let k be a nonzero complex number.We consider a k-circulant matrix whose first row is (J 1 , J 2 , . . ., Jn), where Jn is the n th Jacobsthal number, and obtain the formulae for the eigenvalues of such matrix improving the formula which can be obtained …