On the Determinants and Inverses of Circulant Matrices with Pell and Pell-Lucas Numbers

Details On the Determinants and Inverses of Circulant Matrices with Pell and Pell-Lucas Numbers On the Determinants and Inverses of Circulant Matrices with Pell and Pell-Lucas Numbers

2012-01-29

arxiv.org/abs/1201.6061v1

Mathematics

Numerical Analysis

Scientific paper

Let P=\circ(P_{1},P_{2},...,P_{n}) and Q=\circ(Q_{1},Q_{2},...,Q_{n}) be n\timesn circulant matrices where P_{n} and Q_{n} are nth Pell and Pell-Lucas numbers, respectively. The determinants of the matrices P and Q were expressed by the Pell and Pell-Lucas numbers. After, we prove that the matrices P and Q are the invertible for n\geq3 and then the inverses of the matrices P and Q are derived.

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