Question: Let V be a vector space of dimension 4. Consider the following statements. (i) Any set in V with 2 vectors in it must

Let V be a vector space of dimension 4. Consider the following

Let V be a vector space of dimension 4. Consider the following statements. (i) Any set in V with 2 vectors in it must be independent. (ii) Any set in V with 5 vectors in it must span V. (iii) Any independent set in V with 4 vectors in it is a basis for V. Determine which of the above statements are True (1) or False (2).

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