Let W be the subspace of RS spanned by the vectors = (1,2,3,-1,2) and v= (2,4,7,2,-1). A basis of the orthogonal co W ¹ of W is ... OA. None in the given list OB. {(1,2,3,-1,2), (2,4,7,2,1),(2,-1,0,0,0)} OC. ((-17,0,5, 0, 1), (13,0.-4.1,0), (2,-1,0,0,0)} OD. {(2,1,0,0,0), (13,0, -4,1,0), (1,0,0,0,0)) OE. {(1,0,0,0,0), (0,1,0,0,0), (0,0,1,0,0)}

Elementary Linear Algebra (MindTap Course List)
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Chapter4: Vector Spaces
Section4.CR: Review Exercises
Problem 78CR: Let v1, v2, and v3 be three linearly independent vectors in a vector space V. Is the set...
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Let W be the subspace of RS 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. None in the given list
OB. {(1,2,3,-1,2), (2,4,7,2,1),(2,-1,0,0,0) }
OC. ((-17,0,5, 0, 1), (13,0, -4,1,0), (2,-1,0,0,0)}
OD. {(2,1,0,0,0), (13,0,-4,1,0), (1,0,0,0,0) }
OE. {(1,0,0,0,0), (0,1,0,0,0), (0,0,1,0,0) }
Transcribed Image Text:Let W be the subspace of RS 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. None in the given list OB. {(1,2,3,-1,2), (2,4,7,2,1),(2,-1,0,0,0) } OC. ((-17,0,5, 0, 1), (13,0, -4,1,0), (2,-1,0,0,0)} OD. {(2,1,0,0,0), (13,0,-4,1,0), (1,0,0,0,0) } OE. {(1,0,0,0,0), (0,1,0,0,0), (0,0,1,0,0) }
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