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

Let B=[u, be a base for V=R², where = (1,2) and =(-1,1). We know that every vector in V is a linear combination of and . That is, w=on +3, where and are scalars. If = (0,0), what are the values of and 3? OB=2 O a = 4 OB=-4 a = -4 O a = -2 OB=4 a=2 OB=-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, be a base for V=R², where = (1,2) and =(-1,1). We know that every vector in V is a linear combination of and . That is, w=on +3, where and are scalars. If = (0,0), what are the values of and 3? OB=2 O a = 4 OB=-4 a = -4 O a = -2 OB=4 a=2 OB=-2
Transcribed Image Text:Let B=[u, be a base for V=R², where = (1,2) and =(-1,1). We know that every vector in V is a linear combination of and . That is, w=on +3, where and are scalars. If = (0,0), what are the values of and 3? OB=2 O a = 4 OB=-4 a = -4 O a = -2 OB=4 a=2 OB=-2
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