Question

1.3 Assume we have a linear transformation T as Île,)- ETle), (=1,2,...,n). for an arbitrary vector alpha la) = a.le.)+a;le:)+...+a.le.) = {ale) what is Tſa)? (i.e. what is the vector |a) after the transformation † is applied?)

Answer 1

121 A lenear transformation of in defined by Tlej - I Tijlli), i=1,2,...,n. now, 12) = a 197+ą legyt a ullat, Zasles) Thein, 71x7 - Eagſlej), since in a line ar trans- - formation 2 j21

=> 9 1x) = { 03 (ĈTole). 21 aan (Tulert the leny) t...tan (Tinleyt +Tundent) = Con Tut artist tantiu) ley" tot Carthat tantum) leit (243) test as Tuille.) I (39;tos)ie, .