For each of the following sets of vectors, determine whether it is linearly independent or linearly dependent. If it is dependent, give a non-trivial linear combination of the vectors yielding the zero vector. Give your combination as an expression using u, v, and w for the vector variables , 7, and . 3 W-2 3 1 -3 a) = -1 7= 3 2 -5 (, , } is linearly independent 2 4 0 b) = -2 V = 1 w=10 -2 -2 4 {u, , } is linearly dependent 0=0
For each of the following sets of vectors, determine whether it is linearly independent or linearly dependent. If it is dependent, give a non-trivial linear combination of the vectors yielding the zero vector. Give your combination as an expression using u, v, and w for the vector variables , 7, and . 3 W-2 3 1 -3 a) = -1 7= 3 2 -5 (, , } is linearly independent 2 4 0 b) = -2 V = 1 w=10 -2 -2 4 {u, , } is linearly dependent 0=0
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 2CM: Take this test to review the material in Chapters 4and Chapters 5. After you are finished, check...
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