13. (a) Suppose V is a real inner product space. Show that the set of self-adjoint operators on V is a subspace of L(V).
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13. (a) Suppose V is a real inner product space. Show that the set of self-adjoint operators on V is a subspace of L(V).
13. (a) Suppose V is a real inner product space. Show that the set of self-adjoint operators on V is a subspace of L(V). (b) Suppose V is a complex inner product space with V + {0}. Show that the set of self-adjoint operators on V is not a subspace of L(V).
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