Consider the subspace S of the Euclidean inner product space R¹ 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. OA. None in the given list. OB. {(1,1,1,1),(1,1,2,4), (1,2,-4,-3)} OC. {(1,1,2,4),(-1,-1,0,2), (12. ²2₁-3,1)} OD. {(1,1,1,1),(-1,-1,0,2), (1,3, -6,2)} O E. {(1,2,3,1), (1,2, -4,-3), (4,2,1,1)}

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter4: Vector Spaces
Section4.CR: Review Exercises
Problem 73CR
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Consider the subspace S of the Euclidean inner product space R+ 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. None in the given list.
O B. {(1,1,1,1),(1,1,2,4), (1,2, — 4, − 3) }
○c. {(1,1,2,4), (-1,-1,0,2), (½ ‚½‚ – 3,1)}
OD. {(1,1,1,1),(-1,-1,0,2), (1,3, -6,2)}
OE-3,1),(1.2.-4,-3).(4.2.1.1]
Transcribed Image Text:Consider the subspace S of the Euclidean inner product space R+ 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. None in the given list. O B. {(1,1,1,1),(1,1,2,4), (1,2, — 4, − 3) } ○c. {(1,1,2,4), (-1,-1,0,2), (½ ‚½‚ – 3,1)} OD. {(1,1,1,1),(-1,-1,0,2), (1,3, -6,2)} OE-3,1),(1.2.-4,-3).(4.2.1.1]
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