Consider vectors ₁ = 0, ₂: 3 -4, ū3 -8, 42. Suppose W = span{₁, U₂, U3, U₁}. 2 a. Is {₁,₂,3,4} a linearly independent set? Explain. b. Find a subset of {₁, ₂, 3, ū} that is linearly independent. c. Is W a subspace of R³? Explain/justify your answer.
Consider vectors ₁ = 0, ₂: 3 -4, ū3 -8, 42. Suppose W = span{₁, U₂, U3, U₁}. 2 a. Is {₁,₂,3,4} a linearly independent set? Explain. b. Find a subset of {₁, ₂, 3, ū} that is linearly independent. c. Is W a subspace of R³? Explain/justify your answer.
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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