Abstract
Consider a real square matrix A=(a_<ij>)all of whose row sums are equal to 1, and its eigenvalues. If the matrix A is a stochastic matrix, it is well-known that A has Frobenius'root 1 and all the eigenvalues are in the unit disk on the complex plane. In order to solve the inverse eigenvalue problem, it may be needed to calculate (det(xI-A))/(x-1). The paper shows the explicit form of the polynomial (det(xI-A))/(x-1), whose coefficients are written in linear sums of products in values a_<ij>(i≠j).
