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PROBLEM 6 (10 on.) Let V be a real linear space and S d'f {vim}, .. .u} be a set of linearly independent vectors in

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PROBLEM 6 (10 on.) Let V be a real linear space and S d'f {vim}, .. .u} be a set of linearly independent vectors in V and dene 1T : 211:1 (11-25;, for some real scalars (156 R. Prove 11131 {-u'i in} if, \".0; 17} is linearly independent if and only if 2:1 or,- 79 1

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