Let V be a vector space of dimension n. State whether the following statements are true or false. (a) n is the largest number of linearly independent vectors in V. O True False (b) n is the largest number of linearly dependent vectors in v. O True False (c) No set of less than n vectors can span V. O True False (d) A set of more than n vectors can span V, but cannot be linearly independent. O True False

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