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arXiv · 1411.0524

A formula for the trace of symmetric powers of matrices

Jose Luis Cisneros·Rafael Herrera·Noemi Santana
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Abstract

We present a formula for the trace of any symmetric power of a $n\times n$ matrix (with coefficients in a field) in terms of the ordinary powers of the matrix, an arbitrarily chosen linear function which vanishes on the identity matrix, and $n-2$ polynomial functions defined recursively.

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Jose Luis Cisneros, Rafael Herrera, Noemi Santana. 2014-11-03. A formula for the trace of symmetric powers of matrices. https://arxiv.org/abs/1411.0524

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