Consider the subspace S of the space Euclidean inner product (1.1.1.1), ₂(1.1.2.4). v,= (1.2,-4,-3). Find an orthonormal basis of S. V= R4 spanned by the vectors

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Consider the subspace
S of the Euclidean inner product space
v₁=(1,1,1,1), v₂=(1,1,2,4), v₂=(1,2,-4,-3). Find an orthonormal basis of S.
A.
A (..-3.1). (1.2.-4,-3). (4,2,1,1)}
B.
{(1,1,2,4),(-1,-1.0.2).(-.-.-3.1))
C. ((1,1,1,1),(1,1,2,4), (1,2,-4,-3))
D. None in the given list
E. ((1,1,1,1),(-1,-1,0,2), (1,3, -6,2) }
R4
spanned by the
vectors
Transcribed Image Text:Consider the subspace S of the Euclidean inner product space v₁=(1,1,1,1), v₂=(1,1,2,4), v₂=(1,2,-4,-3). Find an orthonormal basis of S. A. A (..-3.1). (1.2.-4,-3). (4,2,1,1)} B. {(1,1,2,4),(-1,-1.0.2).(-.-.-3.1)) C. ((1,1,1,1),(1,1,2,4), (1,2,-4,-3)) D. None in the given list E. ((1,1,1,1),(-1,-1,0,2), (1,3, -6,2) } R4 spanned by the vectors
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