Abstract:
This article disccuses a new approach to evaluate the integer positive powers from
tridiagonal matrices by using Chebyshev polynomials in two cases, when the tridi-
agonal matrix has even order n = 2p and the tridiagonal matrix has odd order
n = 2p + 1 with p 2 N. In addition, this article also aims to show how the Cheby-
shev polynomial can be used to determine the formulation of the transformation
matrix and the inverse of the transformation matrix.