LinearAlgebra3.1.3LinearRepresentationandEquivalentofVectorGroups1.RelationshipBetweenVectorGroupsVectorgroupislinearlyrepresentedbyvectorgroupifeachvectorinthegroupcanberepresentedbythevectorsinthegroup.𝐵canbelinearlyrepresentedbyForexample,2030,1001,ButB:2030cannotbelinearlyrepresentedby1001,Definition,Proof:GivenSincevectorgroupislinearlyrepresentedbyvectorgroup,𝐴𝐵therearescalarssuchthatC...