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Nov 13, 2013 at 9:00 vote accept M92
Nov 12, 2013 at 21:07 comment added Clément de Seguins Pazzis Restrict $f$ to the space of all diagonal matrices in which the last $n-1$ entries equal $1$.
Nov 12, 2013 at 15:30 comment added Pete L. Clark Why must $g$ be a polynomial? It is not always true that if $\varphi = g \circ f$ as functions and $\varphi$ and $f$ are polynomials, then so is $g$. E.g. take $F = \mathbb{R}$, $f(x) = x^3$, $\varphi(x) = x$.
Nov 12, 2013 at 13:19 history answered Clément de Seguins Pazzis CC BY-SA 3.0