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Mathematics
Linear and Abstract Algebra
Proving Linear Dependence and Span in n-dimensional Space
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[QUOTE="HallsofIvy, post: 6777424, member: 637751"] For (3), what does "[tex]\{1, …, k\}= \{i_1, …, i_k\}[/tex]" [B]mean[/B]? With standard set notation that would just mean that [tex]v_1= v_{i_1}[/tex], …, [tex]v_k= v_{i_k}[/tex] but then the problem is trivial. Or is the point that the order doesn't matter? Then the problem is almost trivial- just using the fact that vector addition is commutative. [/QUOTE]
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Forums
Mathematics
Linear and Abstract Algebra
Proving Linear Dependence and Span in n-dimensional Space
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