Take the 2-minute tour ×
MathOverflow is a question and answer site for professional mathematicians. It's 100% free, no registration required.

Let $A$ and $B$ be two random matrices such that $A = U^T B V$. Here $U$ and $V$ are deterministic and orthogonal matrices. The random matrices $A$ and $B$ have the same distribution?

share|improve this question
Unless I'm completely misreading the question, the answer is obviously no; just take $A$ (and therefore $B$) to be constant. –  Steven Landsburg May 29 '13 at 15:24
add comment

Your Answer


By posting your answer, you agree to the privacy policy and terms of service.

Browse other questions tagged or ask your own question.