I 'm trying to prove that for any $n \times n$ complex matrix $M$ there exist unitary matrices $A$ and $B$ such that $\Lambda=AMB$, where $\Lambda$ is a diagonal matrix with positive elements. I have tried using schur lemma and try proving it for upper diagonal matrices but no luck.


Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Browse other questions tagged or ask your own question.