A conjecture is made for the expected value of the jth elementary symmetric function (ESF) of the roots of a noncentral Wishart matrix with covariance matrix σ 2I. A conjecture is also made if j = p ...

We give a constructive elementary proof for the fact that any K-automorphism of the full n×n matrix algebra over a field K is conjugation by some invertible n×n matrix over K. The Monthly publishes ...