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7. (a) Give an example of a linearly independent list (vi,....vi) in R" and a linear map T: RR so that (T(vi),...,T(vi))
Posted: Thu Jun 30, 2022 7:35 pm
by answerhappygod
- 7 A Give An Example Of A Linearly Independent List Vi Vi In R And A Linear Map T Rr So That T Vi T Vi 1 (16.23 KiB) Viewed 82 times
7. (a) Give an example of a linearly independent list (vi,....vi) in R" and a linear map T: RR so that (T(vi),...,T(vi)) is linearly dependent. Justify your answer. (This is possible.) (b) Show that if (vi,...) is linearly independent in R" and T: RR is linear and injective, then. (T(vi).....T(U)) is linearly independent. Note where you use that T is injective. (It must be used somewhere.)