Let R3 → R3 be a linear transformation. Let {v1,v2,v3} be a set of linearly dependent vectors in R3. Show that the set {T(v1),T(v2), T(v3)} is also linearly dependent.
Let R3 → R3 be a linear transformation. Let {v1,v2,v3} be a set of linearly dependent vectors in R3. Show that the set {T(v1),T(v2), T(v3)} is also linearly dependent.
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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Let R3 → R3 be a linear transformation. Let {v1,v2,v3} be a set of linearly dependent
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