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Let W be the subspace of R5 spanned by the vectors = (1,2,3,1,2) and v= (2,4,7,2, -1). A basis of the orthogonal complement W of W is ... OA. {(1,2,3,-1,2), (2,4,7,2,1), (2, - 1,0,0,0) } O B. ((-17,0,5,0,1), (13,0, -4,1,0), (2,-1,0,0,0) } C. None in the given list OD. {(2,-1,0,0,0), (13,0,- 4,1,0), (1,0,0,0,0) } O E. {(1,0,0,0,0), (0,1,0,0,0). (0,0,1,0,0) }

Let W be the subspace of R5 spanned by the vectors = (1,2,3,1,2) and v= (2,4,7,2, -1). A basis of the orthogonal complement W of W is ... OA. {(1,2,3,-1,2), (2,4,7,2,1), (2, - 1,0,0,0) } O B. ((-17,0,5,0,1), (13,0, -4,1,0), (2,-1,0,0,0) } C. None in the given list OD. {(2,-1,0,0,0), (13,0,- 4,1,0), (1,0,0,0,0) } O E. {(1,0,0,0,0), (0,1,0,0,0). (0,0,1,0,0) }

Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter4: Vector Spaces
Section4.4: Spanning Sets And Linear Independence
Problem 74E: Let u, v, and w be any three vectors from a vector space V. Determine whether the set of vectors...
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Let W be the subspace of R5 spanned by the vectors = (1,2,3,1,2) and v= (2,4,7,2, -1). A basis of the orthogonal complement W of W is ... OA. {(1,2,3,-1,2), (2,4,7,2,1), (2, - 1,0,0,0) } O B. ((-17,0,5,0,1), (13,0, -4,1,0), (2,-1,0,0,0) } C. None in the given list OD. {(2,1,0,0,0), (13,0, -4,1,0), (1,0,0,0,0)} O E. {(1,0,0,0,0), (0,1,0,0,0).(0,0,1,0,0) }
Transcribed Image Text:Let W be the subspace of R5 spanned by the vectors = (1,2,3,1,2) and v= (2,4,7,2, -1). A basis of the orthogonal complement W of W is ... OA. {(1,2,3,-1,2), (2,4,7,2,1), (2, - 1,0,0,0) } O B. ((-17,0,5,0,1), (13,0, -4,1,0), (2,-1,0,0,0) } C. None in the given list OD. {(2,1,0,0,0), (13,0, -4,1,0), (1,0,0,0,0)} O E. {(1,0,0,0,0), (0,1,0,0,0).(0,0,1,0,0) }
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