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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.

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.

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.4: Linear Transformations
Problem 24EQ
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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.
Transcribed Image Text: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.
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