5 0 2 6. Let H span 3 -2 3 (a) Is the vector e₁ an element of H, or not? Explain. (b) Are the given vectors above linearly independent or linearly dependent? Explain. (c) Find a linearly independent set of vectors which has the same span. How many vectors are there?

5 0 2 6. Let H span 3 -2 3 (a) Is the vector e₁ an element of H, or not? Explain. (b) Are the given vectors above linearly independent or linearly dependent? Explain. (c) Find a linearly independent set of vectors which has the same span. How many vectors are there?

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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5
0
2
6. Let H
span
3 -2
3
(a) Is the vector e₁ an element of H, or not? Explain.
(b) Are the given vectors above linearly independent or linearly dependent? Explain.
(c) Find a linearly independent set of vectors which has the same span. How many vectors are there?

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