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.
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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc158a850-76a9-4504-97b9-8593e0926539%2F232a171d-2bba-4d8c-adae-4fe6b046e9ea%2Fpmvnmab_processed.jpeg&w=3840&q=75)
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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