Published June 29, 2005
| Version v1
Journal article
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Powers of a Matrix and Combinatorial Identities
Authors/Creators
- 1. Mathematics Department, Trinity College, 300 Summit Street, Hartford, CT 06106-3100
- 2. Stat-Math Unit, Indian Statistical Institute, 8th Mile Mysore Road, Bangalore 560 059, India
Description
In this article we obtain a general polynomial identity in k variables, where k ≥ 2 is an arbitrary positive integer. We use this identity to give a closed-form expression for the entries of the powers of a k × k matrix. Finally, we use these results to derive various combinatorial identities.
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