QUESTION 5 Let u (1,2,-1), v = (6,4,2) € R³. 5.1 Write w = (-3, 2,-5) as a linear combination of u and v. Show all working. 5.2 Is the set {u, v} linearly independent? Explain clearly. 5.3 Is {u, v} a basis for R³? Explain clearly.
QUESTION 5 Let u (1,2,-1), v = (6,4,2) € R³. 5.1 Write w = (-3, 2,-5) as a linear combination of u and v. Show all working. 5.2 Is the set {u, v} linearly independent? Explain clearly. 5.3 Is {u, v} a basis for R³? Explain clearly.
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Inner Product Spaces
Section5.CM: Cumulative Review
Problem 10CM
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