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Consider the vectors v, = (6,1, –3) and (3,4, -3) in span {v1; v2}. If so ,write it v and v2. If not , explain. Determine whether or the following set set for the given vector spaces:

Consider the vectors v, = (6,1, –3) and (3,4, -3) in span {v1; v2}. If so ,write it v and v2. If not , explain. Determine whether or the following set set for the given vector spaces:

Elementary Linear Algebra (MindTap Course List)
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 24CM
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b) Consider the vectors v, = (6,1,–3) and v2 = (-3,3,2) in R3. Is = (3,4, –3) in span {v,; v2}. If so ,write it as linear combination of vand v2. If not , explain. c) Determine whether or the following sets of vectors form a spanning set for the given vector spaces: %3D i. {(-1,2,–2); (-2,1,4); (1,2, –3} in R3
Transcribed Image Text:b) Consider the vectors v, = (6,1,–3) and v2 = (-3,3,2) in R3. Is = (3,4, –3) in span {v,; v2}. If so ,write it as linear combination of vand v2. If not , explain. c) Determine whether or the following sets of vectors form a spanning set for the given vector spaces: %3D i. {(-1,2,–2); (-2,1,4); (1,2, –3} in R3
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