Solutions of the matrix equation $p(X)=A$, with polynomial function $p(\lambda )$ over field extensions of $\mathbb{Q}$

Gilbert Groenewald, Dawie Janse van Rensburg, Andre Ran +2

Let $\mathbb{H}$ be a field with $\mathbb{Q}\subset \mathbb{H}\subset \mathbb{C}$, and let $p(\lambda )$ be a polynomial in $\mathbb{H}[\lambda ]$, and let $A\in {\mathbb{H}}^{n\times n}$ be nonderog…