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

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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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*((-.-3.1).(1.2.-4,-3).(4,2,1,1))
OB.
© ³ {(1,1,2,4), ( − 1, − 1,0,2
A.
-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) }
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*((-.-3.1).(1.2.-4,-3).(4,2,1,1)) OB. © ³ {(1,1,2,4), ( − 1, − 1,0,2 A. -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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