4. Working in R4, consider the vectors and √₁ = (1, 1, 2, -1), V₂ = (3, 0,4,-1), V3= (-1, 2, 5,2) ₁ = (-1,5, 7, 0), ₂ = (-6, 0, -3,5), 3=(4,-5, 9, -7). Which of the vectors u; can be expressed as a linear combination of the vectors V1, V2, V3?

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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4. Working in R4, consider the vectors
and
V₁ = (1, 1,2, -1), ₂=(3, 0, 4,-1),
(3,
0,4,-1), V3 = (−1, 2, 5, 2)
₪₁ = (–1,5, 7, 0), ū₂ = (-6,0, –3,5), №z = (4, −5, 9, −7).
Which of the vectors u; can be expressed as a linear combination of the vectors
V1, V2, V3?
Transcribed Image Text:4. Working in R4, consider the vectors and V₁ = (1, 1,2, -1), ₂=(3, 0, 4,-1), (3, 0,4,-1), V3 = (−1, 2, 5, 2) ₪₁ = (–1,5, 7, 0), ū₂ = (-6,0, –3,5), №z = (4, −5, 9, −7). Which of the vectors u; can be expressed as a linear combination of the vectors V1, V2, V3?
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