(Answered) Let v be the set of real valued sequences1 check that v is

Statistics

Let V be the set of real valued sequences.

1. Check that V is a vector space over the field of real numbers, using addition of vectors {see attachment} and scalar multiplication {see attachment}.

Let T be the linear shift map sending {see attachment}.

2. Check that T is a linear transformation and compute its eigenvalues and eigenvectors.

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