Abstract
Let d(λ) and p(λ) be monic polynomials of degree n⩾2 with coefficients in F, an algebraically closed field or the field of all real numbers. Necessary and sufficient conditions for the existence of an n-square matrix A over F such that det( λI− A)= d( λ) and per( λI− A= p(λ) are given in terms of the coefficients of d(λ) and p(λ).
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