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1 5 0 2 4₂ -2, 1 Note that u₁ and u₂ are orthogonal. It can be shown that u3 is not in the 1 1 0 subspace W spanned by u₁ and u₂. Use this to construct a nonzero vector v in R³ that is orthogonal to u₁ and Աշ. Let u₁ = The nonzero vector v = and u3 is orthogonal to u₁ and u₂.

1 5 0 2 4₂ -2, 1 Note that u₁ and u₂ are orthogonal. It can be shown that u3 is not in the 1 1 0 subspace W spanned by u₁ and u₂. Use this to construct a nonzero vector v in R³ that is orthogonal to u₁ and Աշ. Let u₁ = The nonzero vector v = and u3 is orthogonal to u₁ and u₂.

Advanced Engineering Mathematics
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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Let et u₁ 1 = 4₂ - 2 -1 1 0 subspace W spanned by u₁ and u₂. Use this to construct a nonzero vector v in R³ that is orthogonal to u₁ and u2. = and u3 = Note that u₁ and u₂ are orthogonal. It can be shown that u3 is not in the The nonzero vector v = is orthogonal to u₁ and ₂.
Transcribed Image Text:Let et u₁ 1 = 4₂ - 2 -1 1 0 subspace W spanned by u₁ and u₂. Use this to construct a nonzero vector v in R³ that is orthogonal to u₁ and u2. = and u3 = Note that u₁ and u₂ are orthogonal. It can be shown that u3 is not in the The nonzero vector v = is orthogonal to u₁ and ₂.
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