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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 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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Linear Algebra A Modern Introduction
Authors: David Poole
4th edition
1285463242, 978-1285982830, 1285982835, 978-1285463247
