(a) Show that for every positive integer n, one can find linearly independent vectors in
Chapter 4, Problem 17(choose chapter or problem)
(a) Show that for every positive integer n, one can find linearly independent vectors in . [Hint: Look for polynomials.] (b) Use the result inpart (a) to prove that is infinite- dimensional. (c) Prove that , and are infinite-dimensional vector spaces.
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