Determine whether or not the given vector b is in the span of the vectors u₁ and u₂. [2] = [3], b [4₂] a. U₁ = , U₂ 1 b. U₁ = 0 C. U₁ = = U₂ = 2, b= = ------ b = =

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Determine whether or not the given vector b is in the span of the vectors u₁ and u₂.
4
= [¹²], ¹₂ = [²], b = [²₂]
a. U₁ =
1
---8-
= 0 U₂ = 2, b =
b. U₁
= [₁₂]
C. U₁ =
1
-4
0 U₂ = 2
1.-4
Transcribed Image Text:Determine whether or not the given vector b is in the span of the vectors u₁ and u₂. 4 = [¹²], ¹₂ = [²], b = [²₂] a. U₁ = 1 ---8- = 0 U₂ = 2, b = b. U₁ = [₁₂] C. U₁ = 1 -4 0 U₂ = 2 1.-4
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