Let V be a finite dimensional inner product space. Show that the product of two self-adjoint linear maps S and T on V is self adjoint if and only if ST = TS

I have no idea what I am doing here.

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- Mar 9th 2008, 12:43 PMChloroformLinear Algebra - Self-adjoint...something something
Let V be a finite dimensional inner product space. Show that the product of two self-adjoint linear maps S and T on V is self adjoint if and only if ST = TS

I have no idea what I am doing here. - Mar 10th 2008, 05:54 AMOpalg