C. Hermitian-adjoint of the sum or difference of linear operators, AB = ? Answer: AB†= A†+ B†Proof: It is easy to prove this answer. Do it by yourself as a part of the Homework assignment.
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Using the definition of the Hermitian-adjoint, we have (AB)† = (AB)‡†. Now, let's expand this expression using the properties of the Hermitian-adjoint: (AB)† = (AB)‡† = B†A†† = B†A. So, we have (AB)† = B†A. Now, let's consider the sum of linear Show more…
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