Question: Help me with this homework please, and explain the answer.. 2.7 Determine which of the following are linear operators, and which are not. (a) The

Help me with this homework please, and explain the answer..

2.7 Determine which of the following are linear operators, and which are not. (a) The parity operator [f (x)] = f(-x). (b) The translation operator T[f (x)] = f(x + 1). (c) The operator LIf (x)] = f(x) + 1. 2.8 Consider the identity operator /, defined by I If (x)] = f(x). (a) Show that / is a linear operator. (b) Find the eigenfunctions and corresponding eigenvalues of

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