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Graduate Linear Algebra Proof of Span and orthogonal vector space
Let w=span(w1, w2, ...,wk) where wi are vectors in R^n. Let dot product be inner product for R^n here. Prove that if v*wi=0 for all i-1,2,...,k then v is an element of w^upside down T (w orthogonal).- sbj5533
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- Algebra Linear Linear algebra Orthogonal Proof Space Span Vector Vector space
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- Forum: Linear and Abstract Algebra