Question: Please help me with the following questions. Problem 4. Let V be a finite-dimensional inner product space over C and let Te C(V). Define operators

Please help me with the following questions.

Please help me with the following questions.
Problem 4. Let V be a finite-dimensional inner product space over C and let Te C(V). Define operators T1 = (T + T*) and T2 = (T - T* ). 2i Prove the following: 1. Ti and T2 are self-adjoint. 2. Ti and T2 are the unique self-adjoint operators in C(V) for which T = Ti + iT2

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