3.) Consider the following vector. O M 2 2 t 2 6 x3 = 16 -S a) Are the vectors {x₁, X₁, X3) lineonly independend? Justify 4b.j Find a basis for the subspace V = span {x₁₁₂₂] s what is the di'm (U)?

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
3
3.) Consider the following vector.
O
2
x₁ =
2
2
6
x3= 16
L-S
a) Are the vectors {x₁, T₂, Xms) linearly independend? Justify
"b) Find a basis for the subspace V=span {x₁₂₂₂)
I what is the dim (U)?
d.) If x= [7₁₁ x₁, x₂) what is ck (x).
Transcribed Image Text:3.) Consider the following vector. O 2 x₁ = 2 2 6 x3= 16 L-S a) Are the vectors {x₁, T₂, Xms) linearly independend? Justify "b) Find a basis for the subspace V=span {x₁₂₂₂) I what is the dim (U)? d.) If x= [7₁₁ x₁, x₂) what is ck (x).
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