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14 Let B= [u, e) be a base for VR², where = (1, 2) and (-1,1). We know that every vector in V is a linear combination of u and . That is, w = ou + Bu, where a and are scalars. If = (6,0), what are the values of and 8? B=2 a = 4 B = -4 a = -4 a = -2 B = 4 a = 2 B = -2

14 Let B= [u, e) be a base for VR², where = (1, 2) and (-1,1). We know that every vector in V is a linear combination of u and . That is, w = ou + Bu, where a and are scalars. If = (6,0), what are the values of and 8? B=2 a = 4 B = -4 a = -4 a = -2 B = 4 a = 2 B = -2

Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter4: Vector Spaces
Section4.3: Subspaces Of Vector Spaces
Problem 52E
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Let B = [u, u be a base for VR², where = (1,2) and = (-1,1). We know that every vector in V is a linear combination of u and . That is, w = ou + Bu, where a andare scalars. If = (6,0), what are the values of a and 3? B=2 a = 4 B = -4 a = -4 a = -2 B = 4 a = 2 B = -2
Transcribed Image Text:Let B = [u, u be a base for VR², where = (1,2) and = (-1,1). We know that every vector in V is a linear combination of u and . That is, w = ou + Bu, where a andare scalars. If = (6,0), what are the values of a and 3? B=2 a = 4 B = -4 a = -4 a = -2 B = 4 a = 2 B = -2
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