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 orthonormal basis of S. O A. None in the given list ³. {(², ₁-3,1), (1,2,-4,-3). (4,2,1,1)} OC {(1,1,1,1),(-1,-1,0.2), (1.3.-6.2)} OD. {(1,1,1,1),(1,1,2,4),(1,2,-4,-3)} OE OB ((1.1.2.4).(-1.-1.0.2).(-1)}

Elementary Linear Algebra (MindTap Course List)
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Author:Ron Larson
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Chapter5: Inner Product Spaces
Section5.CR: Review Exercises
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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).
1
Find an orthonormal basis of S.
O A. None in the given list
OB./1
08.-3.1). (1.2.-4,-3).(4.2.1.1))
OC. {(1,1,1,1),(-1,-1,0.2), (1,3, -6,2)}
OD. {(1,1,1,1). (1,1,2,4), (1,2,-4,-3)}
O E. (1.1.2.4.(-1.-1.0.2).(---)))
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). 1 Find an orthonormal basis of S. O A. None in the given list OB./1 08.-3.1). (1.2.-4,-3).(4.2.1.1)) OC. {(1,1,1,1),(-1,-1,0.2), (1,3, -6,2)} OD. {(1,1,1,1). (1,1,2,4), (1,2,-4,-3)} O E. (1.1.2.4.(-1.-1.0.2).(---)))
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