A Generalization of the Regular Tribonacci-Lucas Matrix

Abstract

We define a generalization of a regular Tribonacci-Lucas matrix and give some factorizations by some special matrices. We find the inverse and the k-th power of the matrix. We also present several identities and a relation between an exponential of a matrix and the defined matrix.

Keywords

• Tribonacci-Lucas sequence
• factorization of matrices
• matrix exponential
• matrix inverse

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