# Binomial Coefficients and Powers of One Type of Large Pentadiagonal Matrices

## DOI:

https://doi.org/10.26713/jims.v11i2.653## Keywords:

Pentadiagonal matrix, Powers of matrices, Binomial coecients, Eigenvalues## Abstract

In this paper, we derive a general expression for the entries of the $r$th

power $\left( r\in \mathbb{N} \right) $ of one type of the $n\times n$ complex pentadiagonal matrix for all $n \geq 4( r-1)$, in terms of binomial coefficients.

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## References

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## How to Cite

*Journal of Informatics and Mathematical Sciences*,

*11*(2), 125–132. https://doi.org/10.26713/jims.v11i2.653

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