3 Let λ ER, and consider the vectors u, v, w E R³ defined by u = (3, 3, −6) v = (6, 7, -12) w = (3, 4, λ - 8) For which value of λ is {u, v, w} linearly dependent?
3 Let λ ER, and consider the vectors u, v, w E R³ defined by u = (3, 3, −6) v = (6, 7, -12) w = (3, 4, λ - 8) For which value of λ is {u, v, w} linearly dependent?
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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Transcribed Image Text:Let λ ER, and consider the vectors u, v, w E R³ defined by
u =(3, 3, -6)
v (6, 7, -12)
=
w (3, 4, λ-8)
=
For which value of λ is {u, v, w} linearly dependent?
Answer:
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