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Let B = [u, v] be a base for V = R2, where u = (1, 2) and v = (-1, 1). We know that every vector w in V is a linear combination of u and v. That is, U w = au + βυ, where a and 3 are scalars. If w = (6,0), what are the values of a and B? B = -2 B = 2 a = -2 a=2 B = 4 a = -4 B = -4 a = 4

Let B = [u, v] be a base for V = R2, where u = (1, 2) and v = (-1, 1). We know that every vector w in V is a linear combination of u and v. That is, U w = au + βυ, where a and 3 are scalars. If w = (6,0), what are the values of a and B? B = -2 B = 2 a = -2 a=2 B = 4 a = -4 B = -4 a = 4

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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0 [ 1 Let B = [u, v] be a base for V = R², where u = (1, 2) and v = (-1,1). We know that every vector w in V is a linear combination of u and v. That is, THE w = au + Bv, where a and 8 are scalars. If w = (6,0), what are the values of a and B? B = -2 B=2 a = -2 a=2 B = 4 a = -4 B = -4 a = 4
Transcribed Image Text:0 [ 1 Let B = [u, v] be a base for V = R², where u = (1, 2) and v = (-1,1). We know that every vector w in V is a linear combination of u and v. That is, THE w = au + Bv, where a and 8 are scalars. If w = (6,0), what are the values of a and B? B = -2 B=2 a = -2 a=2 B = 4 a = -4 B = -4 a = 4
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