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*((-.-3.1).(1.2.-4,-3).(4,2,1,1))OB.© ³ {(1,1,2,4), ( − 1, − 1,0,2A.-1,0,2), (12. 2.-3,1)}O C. None in the given list.OD. {(1,1,1,1),(1,1,2,4), (1,2,-4,-3) }OE {(1,1,1,1),(-1,-1,0,2), (1,3, -6,2) }

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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). 1 Find an orthogonal basis of S. O*(-.-3.1).(1.2.-4,-3).(4.2.1.1)} O B. 08 ((1.1.2.4).(-1.-1.0.2).(---.¹)) OC. None in the given list. OD. {(1,1,1,1),(1,1,2,4), (1,2,-4,-3)} OE. {(1,1,1,1),(-1,-1,0,2), (1,3, -6,2)} OA

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). 1 Find an orthogonal basis of S. O*(-.-3.1).(1.2.-4,-3).(4.2.1.1)} O B. 08 ((1.1.2.4).(-1.-1.0.2).(---.¹)) OC. None in the given list. OD. {(1,1,1,1),(1,1,2,4), (1,2,-4,-3)} OE. {(1,1,1,1),(-1,-1,0,2), (1,3, -6,2)} OA

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter4: Vector Spaces

Section4.5: Basis And Dimension

Problem 65E: Find a basis for the vector space of all 33 diagonal matrices. What is the dimension of this vector...

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