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Math Help - Linear Algebra - Self-adjoint...something something

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    Linear 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.
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    Quote Originally Posted by Chloroform View Post
    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.
    The adjoint of a product is the product of the two adjoints in the opposite order. In other words, (AB)^* = B^*A^*. That's all you need to know in order to do this problem.
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