Let X similar to N-p,N-m (0, E x I-m) and S similar to W-m(n, I-m) be
independent. Further, let S = U' U, where U is a lower (upper) triangu
lar matrix. Then the random matrix T = XU-1 has a disguised matrix var
iate t-distribution. In this article certain expectations of functions
of the random matrix T have been derived. Distributions of qudratic f
orms in disguised T matrix have also been studied.