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5. (a) Suppose that in a vector space V for any m E N there is a linearly independent list of length m. Prove that

5. (a) Suppose that in a vector space V for any m E N there is a linearly independent list of length m. Prove that V is innitedimensional. (1)) Use (a) to prove that the space H.\"00 is innitedimensional

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