Decide whether the vectors [2,9,-1, 4, 7, 8, 10, 9], [11, 2, 5, -9, 0, 0, -1, 3], [4, 18, -2, 8, 14, 16, 20, 18], [3, −2, 1, 9, 18, 2, 4, 0] are linearly independent. If they are not find a basis for their span. Explain your work.

Decide whether the vectors [2,9,-1, 4, 7, 8, 10, 9], [11, 2, 5, -9, 0, 0, -1, 3], [4, 18, -2, 8, 14, 16, 20, 18], [3, −2, 1, 9, 18, 2, 4, 0] are linearly independent. If they are not find a basis for their span. Explain your work.

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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Hello, please answer this question very clearly, thanks

Decide whether the vectors
[2, 9, -1, 4, 7, 8, 10, 9], [11, 2, 5, 9, 0, 0, −1, 3], [4, 18, —2, 8, 14, 16, 20, 18], [3, −2, 1, 9, 18, 2, 4, 0]
are linearly independent. If they are not find a basis for their span. Explain your work.

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