The eigenvalues of the product of matrices with prescribed similarity classes *
Fernando C. Silva · Linear and Multilinear Algebra · 1993
Let A and B be n × n nonsingular matrices over a field F, and c 1,…,c n ∈ F. We give a necessary and sufficient condition for the existence of matrices A′ and B′ similar to A and B, respectively, such that A′ B′ has eigenvalues c 1,…,c n.