Suppose T: R^3 —> R^3 is a linear transformation and (v1,v2,v3) is a linearly dependent set of vectors in R^3. Prove that {T(v1),T(v2),T(v3)} must also be a linearly dependent set.
Suppose T: R^3 —> R^3 is a linear transformation and (v1,v2,v3) is a linearly dependent set of vectors in R^3. Prove that {T(v1),T(v2),T(v3)} must also be a linearly dependent set.
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter7: Eigenvalues And Eigenvectors
Section7.CM: Cumulative Review
Problem 4CM
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Suppose T: R^3 —> R^3 is a linear transformation and (v1,v2,v3) is a linearly dependent set of
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