Linear operators play an important role in the quantum mechanical description of matter. Which of the following is true of all linear operators, A and B? A[k f(x)]=k Ã(x) A[Ã(x)]=Ã(x) +à (x) A[Bƒ(x)]=B[Ã(x)] à ƒ(x) =ƒ(x)
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We will answer this question by looking at definition of linear operator.
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