Consider the R³ vectors v₁ = B. 3 23 V2 = 2 H -1 and v3 = D 3 (a) Find a linear dependence relationship between the 3 vectors. (b) Geometrically, how would you describe the set span{V₁, V2, V3}? Find the equation that represents your description (similar to #4 from HW2).

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Chapter2: Second-order Linear Odes
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1. Consider the R³ vectors v₁ =
2
3
- 1
v2 =
2
-6
2
and v3 =
3
(a) Find a linear dependence relationship between the 3 vectors.
(b) Geometrically, how would you describe the set span{V₁, V2, V3}? Find the equation that represents
your description (similar to #4 from HW2).
Transcribed Image Text:1. Consider the R³ vectors v₁ = 2 3 - 1 v2 = 2 -6 2 and v3 = 3 (a) Find a linear dependence relationship between the 3 vectors. (b) Geometrically, how would you describe the set span{V₁, V2, V3}? Find the equation that represents your description (similar to #4 from HW2).
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