Describe an infinite linearly independent subset of the subspace W in Exercise 29. Does this establish that W is infinite dimensional? Justify your answer.

Data from in Exercise 29

Let

A typical signal in W looks like

Show that W is a subspace of S.

Transcribed Image Text:

W = - fixed 1 xe = {0 {Xk} (0 if k is a multiple of 2 if k is not a multiple of 2 where each r, can be any real number. rk