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In this paper, we give some properties of the Tribonacci and Tribonacci-Lucas quaternions and obtain some identities for them.2000 Mathematics Subject Classification. 11B37, 11R52, 11Y55.

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Recently Prodinger [8] considered the reciprocal super Catalan matrix and gave explicit formulae for its LU-decomposition, the LU-decomposition of its inverse, and obtained some related matrices. For all results, q-analogues were also presented. In this paper, we define and study a variant of the reciprocal super Catalan matrix with two additional parameters. Explicit formulae for its LU-decomposition, LUdecomposition of its inverse and the Cholesky decomposition are obtained. For all results, q-analogues are also presented.