A formula for the trace of symmetric powers of matrices
classification
🧮 math.DG
keywords
matrixformulapowerssymmetrictracearbitrarilychosencoefficients
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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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