Explicit inverses of generalized Tribonacci circulant type matrices

Abstract

In this paper, we consider generalized Tribonacci circulant type matrices, including the circulant and left circulant. Firstly, we discuss the invertibility of generalized Tribonacci circulant matrix and give the explicit determinant and inverse matrix based on constructing the transformation matrices. Afterwards, by utilizing the relation between circulant and left circulant, the invertibility of generalized Tribonacci left circulant matrix is also discussed. The determinant and inverse of generalized Tribonacci left circulant matrix are given respectively.

Keywords

• Circulant matrix,left circulant matrix,determinant,inverse,generalized Tribonacci number

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