is a symmetric matrix containing only 0s and 1s; in particular all the diagonal entries are 0. is a symmetric positive definite matrix. I am interested in . Is there a simple relation between and the eigenvalues of and ?

- Jul 8th 2013, 09:31 AMmnovrealtion between trace of product of two matrices and their eigenvalues
is a symmetric matrix containing only 0s and 1s; in particular all the diagonal entries are 0. is a symmetric positive definite matrix. I am interested in . Is there a simple relation between and the eigenvalues of and ?

- Jul 8th 2013, 04:07 PMILikeSerenaRe: realtion between trace of product of two matrices and their eigenvalues
Nope.

Counter example:

respectively

Both versions of B have the same positive eigenvalues, but the trace of AB is different.