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Consider the subspace S of the Euclidean inner product space R4 spanned by the vectors v₁ = (1,1,1,1), v₂= (1,1,2,4), v₂=(1,2,-4,-3). Find an orthogonal basis of S. O A {(1,1,1,1),(1,1,2,4), (1,2,-4,-3)} B{(1,1,2,4),(-1,-1.0.2) (₁.-3.1)} OC. {(2,-3,1),(1,2,-4,-3), (4,2,1,1)} OD. None in the given list. OE. {(1,1,1,1),(-1,-1,0,2), (1,3, -6,2)}

Consider the subspace S of the Euclidean inner product space R4 spanned by the vectors v₁ = (1,1,1,1), v₂= (1,1,2,4), v₂=(1,2,-4,-3). Find an orthogonal basis of S. O A {(1,1,1,1),(1,1,2,4), (1,2,-4,-3)} B{(1,1,2,4),(-1,-1.0.2) (₁.-3.1)} OC. {(2,-3,1),(1,2,-4,-3), (4,2,1,1)} OD. None in the given list. OE. {(1,1,1,1),(-1,-1,0,2), (1,3, -6,2)}

Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Inner Product Spaces
Section5.CR: Review Exercises
Problem 59CR
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Consider the subspace S of the Euclidean inner product space R4 spanned by the vectors v₁=(1,1,1,1), v (1,1,1,1), an orthogonal basis of S. OA. {(1,1,1,1),(1,1,2,4),(1,2,-4,-3)} {(1.1.2.4),(-1,-1,0.2).(-3.1)} {(-3.1). (1.2.-4.-3), (4,2,1,1)} D. None in the given list. E. {(1,1,1,1),(-1,-1,0,2), (1,3, -6,2) } v₂=(1,1,2,4), v,= (1,2.–4, − 3) . Find 3
Transcribed Image Text:Consider the subspace S of the Euclidean inner product space R4 spanned by the vectors v₁=(1,1,1,1), v (1,1,1,1), an orthogonal basis of S. OA. {(1,1,1,1),(1,1,2,4),(1,2,-4,-3)} {(1.1.2.4),(-1,-1,0.2).(-3.1)} {(-3.1). (1.2.-4.-3), (4,2,1,1)} D. None in the given list. E. {(1,1,1,1),(-1,-1,0,2), (1,3, -6,2) } v₂=(1,1,2,4), v,= (1,2.–4, − 3) . Find 3
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