Let u₁ = -1 1 2 1 ₂ and U3 0 0 Note that and U₁ or u₂. It can be shown that u3 is not in the subspace W spanned by u₁ and u₂. Use this fact to construct a nonzero vector v in R³ that is orthogonal to u₁ and U₂ ALKOH are orthogonal but that u, is not orthogonal to u 2 A nonzero vector in R³ that is orthogonal to u₁ and u₂ is v =

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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Question
Q13
Let u₁
=
-1
1
2
1
₂
and U3
0
0
Note that
and
U₁
or u₂. It can be shown that u3 is not in the subspace W spanned by u₁ and u₂. Use this fact to construct a nonzero
vector v in R³ that is orthogonal to u₁
and ₂.
ALERI
are orthogonal but that u, is not orthogonal to u
2
A nonzero vector in R³ that is orthogonal to u₁ and u₂ is v =
28/04/2023 08:30
Transcribed Image Text:Let u₁ = -1 1 2 1 ₂ and U3 0 0 Note that and U₁ or u₂. It can be shown that u3 is not in the subspace W spanned by u₁ and u₂. Use this fact to construct a nonzero vector v in R³ that is orthogonal to u₁ and ₂. ALERI are orthogonal but that u, is not orthogonal to u 2 A nonzero vector in R³ that is orthogonal to u₁ and u₂ is v = 28/04/2023 08:30
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