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.

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- May 9th 2012, 04:20 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.