Let v₁ = -6.V₂ = 7 1 12 3.V3 = -6, and H=Span {V₁ V₂ V3}. It can be verified that 7v₁ +8v₂-3v3 = 0. Use this information to find a basis for H. -8 -5 A basis for H is. (Type an integer or decimal for each matrix element. Use a comma to separate vectors as needed.)

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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Let v₁ = -6, V₂ =
7
265
1
3.V3 = -6, and H= Span {V₁ V₂ V3}. It can be verified that 7v₁ +8v2-3v3 = 0. Use this information to find a basis for H.
-8
12
-5
A basis for H is.
(Type an integer or decimal for each matrix element. Use a comma to separate vectors as needed.)
Transcribed Image Text:4 Let v₁ = -6, V₂ = 7 265 1 3.V3 = -6, and H= Span {V₁ V₂ V3}. It can be verified that 7v₁ +8v2-3v3 = 0. Use this information to find a basis for H. -8 12 -5 A basis for H is. (Type an integer or decimal for each matrix element. Use a comma to separate vectors as needed.)
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