Which of the following sets of vectors in R³ are linearly dependent?Note. Mark all your choices.(8,9,-3), (24, 10, -3)(0, 7,-7), (0, 21, -21)(7,0, 8), (9, 5, 5), (7, 8, 3), (0, -8,0)(-5,0, 6), (9, 1, 6), (8, 2, 7)

Set of vectors x1, x2, ...xk is independent vectors if for scalar a1, a2,..., an.…

Answered: Which of the following sets of vectors…

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter4: Vector Spaces

Section4.CR: Review Exercises

Problem 78CR: Let v1, v2, and v3 be three linearly independent vectors in a vector space V. Is the set...

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Take this test to review the material in Chapters 4 and 5. After you are finished, check your work against the answers in the back of the book. a Explain what it means to say that a set of vectors is linearly independent. b Determine whether the set S is linearly dependent or independent. S={(1,0,1,0),(0,3,0,1),(1,1,2,2),(3,4,1,2)}
Let v1, v2, and v3 be three linearly independent vectors in a vector space V. Is the set {v12v2,2v23v3,3v3v1} linearly dependent or linearly independent? Explain.
Use a software program or a graphing utility to write v as a linear combination of u1, u2, u3, u4, u5 and u6. Then verify your solution. v=(10,30,13,14,7,27) u1=(1,2,3,4,1,2) u2=(1,2,1,1,2,1) u3=(0,2,1,2,1,1) u4=(1,0,3,4,1,2) u5=(1,2,1,1,2,3) u6=(3,2,1,2,3,0)
Let u, v, and w be any three vectors from a vector space V. Determine whether the set of vectors {vu,wv,uw} is linearly independent or linearly dependent.

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Which of the following sets of vectors in R³ are linearly dependent? Note. Mark all your choices. (8,9,-3), (24, 10, -3) (0,7,-7), (0, 21, -21) (7,0, 8), (9, 5, 5), (7, 8, 3), (0, -8,0) (-5,0, 6), (9, 1, 6), (8, 2,7)