Let A and B be selfadjoint matrices in M_n(C) such that AB=BA. Prove that there is a unitary matrix U such that U*AU and U*BU are both diagonal matrices.

Printable View

- May 9th 2012, 03:20 PMKieferLinear Algebra Proof
Let A and B be selfadjoint matrices in M_n(

**C**) such that AB=BA. Prove that there is a unitary matrix U such that U*AU and U*BU are both diagonal matrices.