Determine whether or not →v = (3, 9, −4, −2) ∈ R^4 is a linear combination of →u1 = (1, −2, 0, 3), →u2 = (2, 3, 0,−1), and →u3 = (2, −1, 2, 1), i.e., whether or not →v ∈ span (→u1, →u2, →u3).

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 4CM: Use a software program or a graphing utility to write v as a linear combination of u1, u2, u3, u4,...
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Determine whether or not →v = (3, 9, −4, −2) ∈ R^4 is a linear combination of →u1 = (1, −2, 0, 3), →u2 = (2, 3, 0,−1), and →u3 = (2, −1, 2, 1), i.e., whether or not →v ∈ span (→u1, →u2, →u3).

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