Nikolw1809 Nikolw1809

23-12-2022
Mathematics

Answered

Show that if v1,...,vp is linearly dependent in V, then the set of images, Tv1,...,Tvp, is linearly dependent in W. This fact shows that if a linear transformation maps a set v1,...,vp onto a linearly independent set Tv1,...,Tvp, then the original set is linearly independent, too (because it cannot be linearly dependent.)

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