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Inverse powers and 2-adic properties of binary 3 x 3 matrices associated with the Tribonacci sequence
Wilson Arley Martinez, Samin Ingrith Ceron
In this paper, we study binary 3 x 3 matrices with determinant one that generate the Tribonacci recurrence. Starting from a specific generating matrix, we obtain explicit expressio…
Matrix representations and arithmetic properties of jacobsthal numbers via binary 3x3 matrices
Wilson Arley Martinez, Samin Ingrith Ceron
We study matrix representations of the Jacobsthal sequence generated by binary 3x3 matrices with determinants 0, 2, and -2, using linear algebraic methods analogous to Fibonacci-ty…
Binary matrices of order 3 associated with the Pell sequence
Wilson Arley Martinez, Samin Ingrid Ceron
In this paper, we construct Pell matrices, analogous to Fibonacci matrices, to study algebraic properties of Pell numbers via linear algebra. This framework yields identities invol…