The line segment from 0 to a vector u is the set of points of the form tu, where Osts1. Show that a linear transformation T maps this segment into the segment between 0 and T(u).

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 2CM: In Exercises 1 and 2, determine whether the function is a linear transformation. T:M2,2R,...
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The line segment from 0 to a vector u is the set of points of the form tu, where
Ost<1. Show that a linear transformation T maps this segnment into the segment
between 0 and T(u).
Transcribed Image Text:The line segment from 0 to a vector u is the set of points of the form tu, where Ost<1. Show that a linear transformation T maps this segnment into the segment between 0 and T(u).
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