2.7 Determine which of the following are linear operators, and which are not. (i) The parity operator II[f(x)] = f(x). (ii) The translation operator T[f(x)] = f(x+1). (iii) The operator L[f(x)] = f(x) + 1.

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2.7 Determine which of the following are linear operators, and which
are not.
(i) The parity operator II[f(x)] = f(x).
(ii) The translation operator T[f(x)] = f(x+1).
(iii) The operator L[f(x)] = f(x) + 1.
Transcribed Image Text:2.7 Determine which of the following are linear operators, and which are not. (i) The parity operator II[f(x)] = f(x). (ii) The translation operator T[f(x)] = f(x+1). (iii) The operator L[f(x)] = f(x) + 1.
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