# A matrix approach to the Yang multiplication theorem

## TL;DR

This paper introduces a matrix-based method using Laurent polynomials to simplify and clarify the proof of the Yang multiplication theorem, connecting sequence compositions with algebraic identities.

## Contribution

It presents a novel matrix approach employing Laurent polynomials to provide a concise proof of the Yang multiplication theorem.

## Key findings

- Matrix approach effectively encodes sequence compositions.
- Lagrange identity simplifies proof of Yang multiplication.
- Provides transparent algebraic framework for the theorem.

## Abstract

In this paper, we use two-variable Laurent polynomials attached to matrices to encode properties of compositions of sequences. The Lagrange identity in the ring of Laurent polynomials is then used to give a short and transparent proof of a theorem about the Yang multiplication.