Determinantal conjecture

In mathematics, the determinantal conjecture of and asks whether the determinant of a sum "A" + "B" of two "n" by "n" normal complex matrices "A" and "B" lies in the convex hull of the "n"! points Π"i" ("λ(A)""i" + "λ(B)"σ("i")), where the numbers "λ(A)""i" and "λ(B)""i" are the eigenvalues of "A" and "B", and "σ" is an element of the symmetric group "S""n".